An Introduction To General Relativity And Cosmology

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General Relativity and Cosmology

SUSHIL KUMAR SRIVASTAVA
General Relativity and Cosmology Book PDF

Author : SUSHIL KUMAR SRIVASTAVA
Publisher : PHI Learning Pvt. Ltd.
Page : 272 pages
File Size : 40,9 Mb
Release : 2008-06-10
Category : Science
ISBN : 812033437X

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General Relativity and Cosmology by SUSHIL KUMAR SRIVASTAVA Pdf

The general theory of relativity and its applications to cosmology requires very deep understanding of mathematics and physics. Keeping this in mind, this self-contained textbook is written which addresses to general relativity and cosmology. In this book, the attempts have been made to explain mathematicians’ notions in the language of a physicist. Primarily intended for the postgraduate students of mathematics and physics, it gives equal importance to mathematical and physical aspects, and thus sharpens understanding of the theory. The text covers many modern concepts and current developments in gravity and cosmology including Brans-Dicke theory, higher-derivative gravity, Kaluza-Klein theory with extension to higher-dimensions. Besides PG students this book would also be useful for research scholars. KEY FEATURES  Highlights special features of general relativity and cosmology.  Discusses structure formation in the universe, inflationary models and dark energy models with special focus on basic concepts.  Provides problems at the end of each chapter to stimulate thinking.  Reveals interconnections between required mathematical concepts.  Explains “how to apply mathematical concepts to physical problems”.  Discusses lagrangian formulation of the field theory and action principle as it provides a powerful tool to derive field equations and energy-momentum tensor components.

An Introduction to General Relativity and Cosmology

Jerzy Plebanski,Andrzej Krasinski
An Introduction to General Relativity and Cosmology Book PDF

Author : Jerzy Plebanski,Andrzej Krasinski
Publisher : Cambridge University Press
Page : 0 pages
File Size : 43,6 Mb
Release : 2012-09-13
Category : Science
ISBN : 1107407362

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An Introduction to General Relativity and Cosmology by Jerzy Plebanski,Andrzej Krasinski Pdf

General relativity is a cornerstone of modern physics, and is of major importance in its applications to cosmology. Plebanski and Krasinski are experts in the field and provide a thorough introduction to general relativity, guiding the reader through complete derivations of the most important results. Providing coverage from a unique viewpoint, geometrical, physical and astrophysical properties of inhomogeneous cosmological models are all systematically and clearly presented, allowing the reader to follow and verify all derivations. Many topics are included that are not found in other textbooks.

Introduction To General Relativity And Cosmology

Christian G Boehmer
Introduction To General Relativity And Cosmology Book PDF

Author : Christian G Boehmer
Publisher : World Scientific Publishing Company
Page : 287 pages
File Size : 49,9 Mb
Release : 2016-10-06
Category : Science
ISBN : 9781786341204

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Introduction To General Relativity And Cosmology by Christian G Boehmer Pdf

Introduction to General Relativity and Cosmology gives undergraduate students an overview of the fundamental ideas behind the geometric theory of gravitation and spacetime. Through pointers on how to modify and generalise Einstein's theory to enhance understanding, it provides a link between standard textbook content and current research in the field.Chapters present complicated material practically and concisely, initially dealing with the mathematical foundations of the theory of relativity, in particular differential geometry. This is followed by a discussion of the Einstein field equations and their various properties. Also given is analysis of the important Schwarzschild solutions, followed by application of general relativity to cosmology. Questions with fully worked answers are provided at the end of each chapter to aid comprehension and guide learning. This pared down textbook is specifically designed for new students looking for a workable, simple presentation of some of the key theories in modern physics and mathematics.

An Introduction to General Relativity

L. P. Hughston,K. P. Tod
An Introduction to General Relativity Book PDF

Author : L. P. Hughston,K. P. Tod
Publisher : Cambridge University Press
Page : 196 pages
File Size : 44,8 Mb
Release : 1990
Category : Mathematics
ISBN : 052133943X

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An Introduction to General Relativity by L. P. Hughston,K. P. Tod Pdf

This textbook provides an introduction to general relativity for mathematics undergraduates or graduate physicists. After a review of Cartesian tensor notation and special relativity the concepts of Riemannian differential geometry are introducted. More emphasis is placed on an intuitive grasp of the subject and a calculational facility than on a rigorous mathematical exposition. General relativity is then presented as a relativistic theory of gravity reducing in the appropriate limits to Newtonian gravity or special relativity. The Schwarzchild solution is derived and the gravitational red-shift, time dilation and classic tests of general relativity are discussed. There is a brief account of gravitational collapse and black holes based on the extended Schwarzchild solution. Other vacuum solutions are described, motivated by their counterparts in linearised general relativity. The book ends with chapters on cosmological solutions to the field equations. There are exercises attached to each chapter, some of which extend the development given in the text.

Gravity, Black Holes, and the Very Early Universe

Tai L. Chow
Gravity Black Holes and the Very Early Universe Book PDF

Author : Tai L. Chow
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 45,9 Mb
Release : 2007-10-24
Category : Science
ISBN : 9780387736310

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Gravity, Black Holes, and the Very Early Universe by Tai L. Chow Pdf

Here it is, in a nutshell: the history of one genius’s most crucial work – discoveries that were to change the face of modern physics. In the early 1900s, Albert Einstein formulated two theories that would forever change the landscape of physics: the Special Theory of Relativity and the General Theory of Relativity. Respected American academic Professor Tai Chow tells us the story of these discoveries. He details the basic ideas of Einstein, including his law of gravitation. Deftly employing his inimitable writing style, he goes on to explain the physics behind black holes, weaving into his account an explanation of the structure of the universe and the science of cosmology.

Spacetime and Geometry

Sean M. Carroll
Spacetime and Geometry Book PDF

Author : Sean M. Carroll
Publisher : Cambridge University Press
Page : 128 pages
File Size : 46,6 Mb
Release : 2019-07-31
Category : Science
ISBN : 9781108775557

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Spacetime and Geometry by Sean M. Carroll Pdf

Spacetime and Geometry is an introductory textbook on general relativity, specifically aimed at students. Using a lucid style, Carroll first covers the foundations of the theory and mathematical formalism, providing an approachable introduction to what can often be an intimidating subject. Three major applications of general relativity are then discussed: black holes, perturbation theory and gravitational waves, and cosmology. Students will learn the origin of how spacetime curves (the Einstein equation) and how matter moves through it (the geodesic equation). They will learn what black holes really are, how gravitational waves are generated and detected, and the modern view of the expansion of the universe. A brief introduction to quantum field theory in curved spacetime is also included. A student familiar with this book will be ready to tackle research-level problems in gravitational physics.

An Introduction to General Relativity and Cosmology

Jerzy Plebanski,Andrzej Krasinski
An Introduction to General Relativity and Cosmology Book PDF

Author : Jerzy Plebanski,Andrzej Krasinski
Publisher : Cambridge University Press
Page : 18 pages
File Size : 52,9 Mb
Release : 2006-08-14
Category : Science
ISBN : 9781139458405

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An Introduction to General Relativity and Cosmology by Jerzy Plebanski,Andrzej Krasinski Pdf

General relativity is a cornerstone of modern physics, and is of major importance in its applications to cosmology. Plebanski and Krasinski are experts in the field and in this book they provide a thorough introduction to general relativity, guiding the reader through complete derivations of the most important results. Providing coverage from a unique viewpoint, geometrical, physical and astrophysical properties of inhomogeneous cosmological models are all systematically and clearly presented, allowing the reader to follow and verify all derivations. For advanced undergraduates and graduates in physics and astronomy, this textbook will enable students to develop expertise in the mathematical techniques necessary to study general relativity.

Spacetime and Geometry

Sean Carroll,Sean M. Carroll
Spacetime and Geometry Book PDF

Author : Sean Carroll,Sean M. Carroll
Publisher : Addison-Wesley
Page : 513 pages
File Size : 49,8 Mb
Release : 2004
Category : Science
ISBN : 0805387323

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Spacetime and Geometry by Sean Carroll,Sean M. Carroll Pdf

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General Relativity

M. P. Hobson,G. P. Efstathiou,A. N. Lasenby
General Relativity Book PDF

Author : M. P. Hobson,G. P. Efstathiou,A. N. Lasenby
Publisher : Cambridge University Press
Page : 600 pages
File Size : 40,5 Mb
Release : 2006-02-02
Category : Science
ISBN : 0521829518

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General Relativity by M. P. Hobson,G. P. Efstathiou,A. N. Lasenby Pdf

General Relativity: An Introduction for Physicists provides a clear mathematical introduction to Einstein's theory of general relativity. It presents a wide range of applications of the theory, concentrating on its physical consequences. After reviewing the basic concepts, the authors present a clear and intuitive discussion of the mathematical background, including the necessary tools of tensor calculus and differential geometry. These tools are then used to develop the topic of special relativity and to discuss electromagnetism in Minkowski spacetime. Gravitation as spacetime curvature is then introduced and the field equations of general relativity derived. After applying the theory to a wide range of physical situations, the book concludes with a brief discussion of classical field theory and the derivation of general relativity from a variational principle. Written for advanced undergraduate and graduate students, this approachable textbook contains over 300 exercises to illuminate and extend the discussion in the text.

General Relativity, Astrophysics, and Cosmology

A.K. Raychaudhuri,S. Banerji,A. Banerjee
General Relativity Astrophysics and Cosmology Book PDF

Author : A.K. Raychaudhuri,S. Banerji,A. Banerjee
Publisher : Springer Science & Business Media
Page : 316 pages
File Size : 51,6 Mb
Release : 2003-11-14
Category : Science
ISBN : 038740628X

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General Relativity, Astrophysics, and Cosmology by A.K. Raychaudhuri,S. Banerji,A. Banerjee Pdf

For about half a century the general theory of relativity attracted little attention from physicists. However, the discovery of compact objects such as quasars and pulsars, as well as candidates for black holes on the one hand, and the microwave background radiation on the other hand completely changed the picture. In addition, developments in elementary particle physics, such as predictions of the behavior of matter at the ultrahigh energies that might have prevailed in the early stages of the big bang, have greatly en hanced the interest in general relativity. These developments created a large body of readers interested in general relativity, and its applications in astrophysics and cosmology. Having neither the time nor the inclination to delve deeply into the technical literature, such readers need a general introduction to the subject before exploring applica tions. It is for these readers that the present volume is intended. Keeping in mind the broad range of interests and wanting to avoid mathematical compli cations as much as possible, we have ventured to combine all three topics relativity, astrophysics, and cosmology-in a single volume. Naturally, we had to make a careful selection of topics to be discussed in order to keep the book to a manageable length.

General Relativity

Norbert Straumann
General Relativity Book PDF

Author : Norbert Straumann
Publisher : Springer Science & Business Media
Page : 676 pages
File Size : 43,9 Mb
Release : 2013-11-11
Category : Science
ISBN : 9783662118276

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General Relativity by Norbert Straumann Pdf

The foundations are thoroughly developed together with the required mathematical background from differential geometry developed in Part III. The author also discusses the tests of general relativity in detail, including binary pulsars, with much space is devoted to the study of compact objects, especially to neutron stars and to the basic laws of black-hole physics. This well-structured text and reference enables readers to easily navigate through the various sections as best matches their backgrounds and perspectives, whether mathematical, physical or astronomical. Very applications oriented, the text includes very recent results, such as the supermassive black-hole in our galaxy and first double pulsar system

General Relativity and Cosmology

Ronald J. Adler
General Relativity and Cosmology Book PDF

Author : Ronald J. Adler
Publisher : Springer Nature
Page : 315 pages
File Size : 41,5 Mb
Release : 2021-01-22
Category : Science
ISBN : 9783030615741

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General Relativity and Cosmology by Ronald J. Adler Pdf

Gravitational physics has now become a mainstream topic in physics and physics teaching. In particular cosmology and gravitational wave physics are at the focus of a great deal of current research. Thus it is important to introduce students to General Relativity as soon as reasonable. This textbook offers a brief but comprehensive treatment accessible to advanced undergraduate students, graduate students, and any physicist or mathematician interested in understanding the material in a short time. The author, an experienced teacher of the subject, has included numerous examples and exercises to help students consolidate the ideas they have learned. Solutions to the exercises are provided as supplementary material in the online chapters.

Introduction to General Relativity, Black Holes, and Cosmology

Yvonne Choquet-Bruhat
Introduction to General Relativity Black Holes and Cosmology Book PDF

Author : Yvonne Choquet-Bruhat
Publisher : Oxford University Press, USA
Page : 301 pages
File Size : 55,5 Mb
Release : 2015
Category : Science
ISBN : 9780199666461

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Introduction to General Relativity, Black Holes, and Cosmology by Yvonne Choquet-Bruhat Pdf

General Relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students interested in exact mathematical formulations (or for anyone with a scientific mind who is curious to know more of the world we live in), recent remarkable experimental and observational results which confirm the theory are clearly described and no specialised physics knowledge is required. The mathematical level of Part A is aimed at undergraduate students and could be the basis for a course on General Relativity. Part B is more advanced, but still does not require sophisticated mathematics. Based on Yvonne Choquet-Bruhat's more advanced text, General Relativity and the Einstein Equations, the aim of this book is to give with precision, but as simply as possible, the foundations and main consequences of General Relativity. The first five chapters from General Relativity and the Einstein Equations have been updated with new sections and chapters on black holes, gravitational waves, singularities, and the Reissner-Nordstrom and interior Schwarzchild solutions. The rigour behind this book will provide readers with the perfect preparation to follow the great mathematical progress in the actual development, as well as the ability to model, the latest astrophysical and cosmological observations. The book presents basic General Relativity and provides a basis for understanding and using the fundamental theory.

A Short Course in General Relativity and Cosmology

Reinhard Hentschke,Christian Hölbling
A Short Course in General Relativity and Cosmology Book PDF

Author : Reinhard Hentschke,Christian Hölbling
Publisher : Springer Nature
Page : 296 pages
File Size : 48,5 Mb
Release : 2020-06-23
Category : Science
ISBN : 9783030463847

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A Short Course in General Relativity and Cosmology by Reinhard Hentschke,Christian Hölbling Pdf

Unlike most traditional introductory textbooks on relativity and cosmology that answer questions like “Does accelerated expansion pull our bodies apart?”, “Does the presence of dark matter affect the classical tests of general relativity?” in a qualitative manner, the present text is intended as a foundation, enabling students to read and understand the textbooks and many of the scientific papers on the subject. And, above all, the readers are taught and encouraged to do their own calculations, check the numbers and answer the above and other questions regarding the most exciting discoveries and theoretical developments in general relativistic cosmology, which have occurred since the early 1980s. In comparison to these intellectual benefits the text is short. In fact, its brevity without neglect of scope or mathematical accessibility of key points is rather unique. The authors connect the necessary mathematical concepts and their reward, i.e. the understanding of an important piece of modern physics, along the shortest path. The unavoidable mathematical concepts and tools are presented in as straightforward manner as possible. Even though the mathematics is not very difficult, it certainly is beneficial to know some statistical thermodynamics as well as some quantum mechanics. Thus the text is suitable for the upper undergraduate curriculum.

Introduction to General Relativity

Cosimo Bambi
Introduction to General Relativity Book PDF

Author : Cosimo Bambi
Publisher : Springer
Page : 335 pages
File Size : 43,9 Mb
Release : 2018-06-18
Category : Science
ISBN : 9789811310904

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Introduction to General Relativity by Cosimo Bambi Pdf

Following the approach of Lev Landau and Evgenii Lifshitz, this book introduces the theory of special and general relativity with the Lagrangian formalism and the principle of least action. This method allows the complete theory to be constructed starting from a small number of assumptions, and is the most natural approach in modern theoretical physics. The book begins by reviewing Newtonian mechanics and Newtonian gravity with the Lagrangian formalism and the principle of least action, and then moves to special and general relativity. Most calculations are presented step by step, as is done on the board in class. The book covers recent advances in gravitational wave astronomy and provides a general overview of current lines of research in gravity. It also includes numerous examples and problems in each chapter.