Applications Of General Relativity

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Applications of General Relativity

Philippe Jetzer
Applications of General Relativity Book PDF

Author : Philippe Jetzer
Publisher : Springer Nature
Page : 203 pages
File Size : 44,7 Mb
Release : 2022-03-11
Category : Science
ISBN : 9783030957186

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Applications of General Relativity by Philippe Jetzer Pdf

The aim of this textbook is to present in a comprehensive way several advanced topics of general relativity, including gravitational waves, tests of general relativity, time delay, spinors in curved spacetime, Hawking radiation, and geodetic precession to mention a few. These are all important topics in today's research activities from both a theoretical and experimental point of view. This textbook is designed for advanced undergraduate and graduate students to strengthen the knowledge acquired during the core courses on General Relativity. The author developed the book from a series of yearly lectures with the intention of offering a gentle introduction to the field. This book helps understanding the more specialized literature and can be used as a first reading to get quickly into the field when starting research. Chapter-end exercises complete the learning material to master key concepts.

General Relativity and its Applications

Valeria Ferrari,Leonardo Gualtieri,Paolo Pani
General Relativity and its Applications Book PDF

Author : Valeria Ferrari,Leonardo Gualtieri,Paolo Pani
Publisher : CRC Press
Page : 494 pages
File Size : 40,8 Mb
Release : 2020-12-21
Category : Science
ISBN : 9780429957802

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General Relativity and its Applications by Valeria Ferrari,Leonardo Gualtieri,Paolo Pani Pdf

• Provides a self-contained and consistent treatment of the subject that does not require advanced previous knowledge of the field. • Explores the subject with a new focus on gravitational waves and astrophysical relativity, unlike current introductory textbooks. • Fully up-to-date, containing the latest developments and discoveries in the field.

General Relativity and Cosmology with Engineering Applications

Harish Parthasarathy
General Relativity and Cosmology with Engineering Applications Book PDF

Author : Harish Parthasarathy
Publisher : Unknown
Page : 0 pages
File Size : 52,6 Mb
Release : 2021
Category : Science
ISBN : 1003173020

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General Relativity and Cosmology with Engineering Applications by Harish Parthasarathy Pdf

This is a reference book for researchers working in the field of general relativity, quantum mechanics and quantum gravity. A major part of the book deals with the formulation of special relativistic mechanics, special relativistic fluid dynamics and its generalization to general relativity where the gravitational field is described by a metric tensor. Emphasis is laid on the fact that the general theory of relativity is of tensorial character under all dieomorphisms of space-time and hence its field equations, namely the Einstein field equations for gravitation, the Maxwell equations in a curved space-time geometry and the fluid dynamical equations in curved space time are all valid for all observers in the universe. The emphasis throughout is on the fact that matter generates a gravitational field described by a metric that has a non-vanishing curvature tensor and hence such space-times are inherently curved, ie, cannot be transformed into Minkowsian form. There is a final section on quantum mechanics and quantum field theory which introduces supersymmetry and quantum gravity to the reader. The reader after going through this book will be sufficiently well equipped to start research in quantum gravity, i.e, background independent physics which is as yet an unsolved problem owing to renormalization problems. Note: T& F does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.

Einstein's General Theory of Relativity

Brian P. Dolan
Einstein s General Theory of Relativity Book PDF

Author : Brian P. Dolan
Publisher : Cambridge University Press
Page : 215 pages
File Size : 55,9 Mb
Release : 2023-06-30
Category : Science
ISBN : 9781009263719

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Einstein's General Theory of Relativity by Brian P. Dolan Pdf

Einstein's general theory of relativity can be a notoriously difficult subject for students approaching it for the first time, with arcane mathematical concepts such as connection coefficients and tensors adorned with a forest of indices. This book is an elementary introduction to Einstein's theory and the physics of curved space-times that avoids these complications as much as possible. Its first half describes the physics of black holes, gravitational waves and the expanding Universe, without using tensors. Only in the second half are Einstein's field equations derived and used to explain the dynamical evolution of the early Universe and the creation of the first elements. Each chapter concludes with problem sets and technical mathematical details are given in the appendices. This short text is intended for undergraduate physics students who have taken courses in special relativity and advanced mechanics.

Einstein's General Theory of Relativity

Øyvind Grøn,Sigbjorn Hervik
Einstein s General Theory of Relativity Book PDF

Author : Øyvind Grøn,Sigbjorn Hervik
Publisher : Springer Science & Business Media
Page : 538 pages
File Size : 40,7 Mb
Release : 2007-08-24
Category : Science
ISBN : 9780387692005

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Einstein's General Theory of Relativity by Øyvind Grøn,Sigbjorn Hervik Pdf

This book introduces the general theory of relativity and includes applications to cosmology. The book provides a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, the authors offer a thorough presentation of the theory of relativity. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included. The book contains a large number of new exercises and examples, each with separate headings. The reader will benefit from an updated introduction to general relativity including the most recent developments in cosmology.

General Relativity

Norbert Straumann
General Relativity Book PDF

Author : Norbert Straumann
Publisher : Springer
Page : 676 pages
File Size : 40,9 Mb
Release : 2010-12-01
Category : Science
ISBN : 3642060137

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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

Geometric Theory of Generalized Functions with Applications to General Relativity

Michael Grosser
Geometric Theory of Generalized Functions with Applications to General Relativity Book PDF

Author : Michael Grosser
Publisher : Springer Science & Business Media
Page : 556 pages
File Size : 53,6 Mb
Release : 2001-11-30
Category : Mathematics
ISBN : 1402001452

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Geometric Theory of Generalized Functions with Applications to General Relativity by Michael Grosser Pdf

This work provides the first comprehensive introduction to the nonlinear theory of generalized functions (in the sense of Colombeau's construction) on differentiable manifolds. Particular emphasis is laid on a diffeomorphism invariant geometric approach to embedding the space of Schwartz distributions into algebras of generalized functions. The foundations of a `nonlinear distributional geometry' are developed, supplying a solid base for an increasing number of applications of algebras of generalized functions to questions of a primarily geometric mature, in particular in mathematical physics. Applications of the resulting theory to symmetry group analysis of differential equations and the theory of general relativity are presented in separate chapters. These features distinguish the present volume from earlier introductory texts and monographs on the subject. Audience: The book will be of interest to graduate students as well as to researchers in functional analysis, partial differential equations, differential geometry, and mathematical physics.

A First Course in General Relativity

Bernard Schutz
A First Course in General Relativity Book PDF

Author : Bernard Schutz
Publisher : Cambridge University Press
Page : 411 pages
File Size : 45,5 Mb
Release : 2009-05-14
Category : Science
ISBN : 9780521887052

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A First Course in General Relativity by Bernard Schutz Pdf

Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background.

General Relativity and its Applications

Valeria Ferrari,Leonardo Gualtieri,Paolo Pani
General Relativity and its Applications Book PDF

Author : Valeria Ferrari,Leonardo Gualtieri,Paolo Pani
Publisher : CRC Press
Page : 845 pages
File Size : 44,8 Mb
Release : 2020-12-22
Category : Science
ISBN : 9780429957796

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General Relativity and its Applications by Valeria Ferrari,Leonardo Gualtieri,Paolo Pani Pdf

Containing the latest, groundbreaking discoveries in the field, this text outlines the basics of Einstein’s theory of gravity with a focus on its most important astrophysical consequences, including stellar structures, black holes and the physics of gravitational waves. Blending advanced topics - usually not found in introductory textbooks - with examples, pedagogical boxes, mathematical tools and practical applications of the theory, this textbook maximises learning opportunities and is ideal for master and graduate students in Physics and Astronomy. Key features: • Provides a self-contained and consistent treatment of the subject that does not require advanced previous knowledge of the field. • Explores the subject with a new focus on gravitational waves and astrophysical relativity, unlike current introductory textbooks. • Fully up-to-date, containing the latest developments and discoveries in the field.

General Relativity

Norbert Straumann
General Relativity Book PDF

Author : Norbert Straumann
Publisher : Springer Science & Business Media
Page : 676 pages
File Size : 48,8 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

Gravitation and Cosmology

Steven Weinberg
Gravitation and Cosmology Book PDF

Author : Steven Weinberg
Publisher : John Wiley & Sons
Page : 696 pages
File Size : 51,7 Mb
Release : 1972
Category : Science
ISBN : UOM:39015015979027

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Gravitation and Cosmology by Steven Weinberg Pdf

Weinberg's 1972 work, in his description, had two purposes. The first was practical to bring together and assess the wealth of data provided over the previous decade while realizing that newer data would come in even as the book was being printed. He hoped the comprehensive picture would prepare the reader and himself to that new data as it emerged. The second was to produce a textbook about general relativity in which geometric ideas were not given a starring role for (in his words) too great an emphasis on geometry can only obscure the deep connections between gravitation and the rest of physics.

Group Theory and General Relativity

Moshe Carmeli
Group Theory and General Relativity Book PDF

Author : Moshe Carmeli
Publisher : World Scientific
Page : 416 pages
File Size : 47,6 Mb
Release : 2000
Category : Science
ISBN : 1860942342

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Group Theory and General Relativity by Moshe Carmeli Pdf

This is the only book on the subject of group theory and Einstein's theory of gravitation. It contains an extensive discussion on general relativity from the viewpoint of group theory and gauge fields. It also puts together in one volume many scattered, original works, on the use of group theory in general relativity theory. There are twelve chapters in the book. The first six are devoted to rotation and Lorentz groups, and their representations. They include the spinor representation as well as the infinite-dimensional representations. The other six chapters deal with the application of groups -- particularly the Lorentz and the SL(2, C) groups -- to the theory of general relativity. Each chapter is concluded with a set of problems. The topics covered range from the fundamentals of general relativity theory, its formulation as an SL(2, C) gauge theory, to exact solutions of the Einstein gravitational field equations. The important Bondi-Metzner-Sachs group, and its representations, conclude the book The entire book is self-contained in both group theory and general relativity theory, and no prior knowledge of either is assumed. The subject of this book constitutes a relevant link between field theoreticians and general relativity theoreticians, who usually work rather independently of each other. The treatise is highly topical and of real interest to theoretical physicists, general relativists and applied mathematicians. It is invaluable to graduate students and research workers in quantum field theory, general relativity and elementary particle theory.

Applied General Relativity

Michael H. Soffel,Wen-Biao Han
Applied General Relativity Book PDF

Author : Michael H. Soffel,Wen-Biao Han
Publisher : Springer Nature
Page : 540 pages
File Size : 40,9 Mb
Release : 2019-09-23
Category : Science
ISBN : 9783030196738

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Applied General Relativity by Michael H. Soffel,Wen-Biao Han Pdf

In the late 20th and beginning 21st century high-precision astronomy, positioning and metrology strongly rely on general relativity. Supported by exercises and solutions this book offers graduate students and researchers entering those fields a self-contained and exhaustive but accessible treatment of applied general relativity. The book is written in a homogenous (graduate level textbook) style allowing the reader to understand the arguments step by step. It first introduces the mathematical and theoretical foundations of gravity theory and then concentrates on its general relativistic applications: clock rates, clock sychronization, establishment of time scales, astronomical references frames, relativistic astrometry, celestial mechanics and metrology. The authors present up-to-date relativistic models for applied techniques such as Satellite LASER Ranging (SLR), Lunar LASER Ranging (LLR), Globale Navigation Satellite Systems (GNSS), Very Large Baseline Interferometry (VLBI), radar measurements, gyroscopes and pulsar timing. A list of acronyms helps the reader keep an overview and a mathematical appendix provides required functions and terms.

Introducing General Relativity

Mark Hindmarsh,Andrew Liddle
Introducing General Relativity Book PDF

Author : Mark Hindmarsh,Andrew Liddle
Publisher : John Wiley & Sons
Page : 292 pages
File Size : 40,9 Mb
Release : 2022-04-25
Category : Science
ISBN : 9781118600719

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Introducing General Relativity by Mark Hindmarsh,Andrew Liddle Pdf

Introducing General Relativity An accessible and engaging introduction to general relativity for undergraduates In Introducing General Relativity, the authors deliver a structured introduction to the core concepts and applications of General Relativity. The book leads readers from the basic ideas of relativity—including the Equivalence Principle and curved space-time—to more advanced topics, like Solar System tests and gravitational wave detection. Each chapter contains practice problems designed to engage undergraduate students of mechanics, electrodynamics, and special relativity. A wide range of classical and modern topics are covered in detail, from exploring observational successes and astrophysical implications to explaining many popular principles, like space-time, redshift, black holes, gravitational waves and cosmology. Advanced topic sections introduce the reader to more detailed mathematical approaches and complex ideas, and prepare them for the exploration of more specialized and sophisticated texts. Introducing General Relativity also offers: Structured outlines to the concepts of General Relativity and a wide variety of its applications Comprehensive explorations of foundational ideas in General Relativity, including space-time curvature and tensor calculus Practical discussions of classical and modern topics in relativity, from space-time to redshift, gravity, black holes, and gravitational waves Optional, in-depth sections covering the mathematical approaches to more advanced ideas Perfect for undergraduate physics students who have studied mechanics, dynamics, and Special Relativity, Introducing General Relativity is an essential resource for those seeking an intermediate level discussion of General Relativity placed between the more qualitative books and graduate-level textbooks.

GRAVITATION AND COSMOLOGY: PRINCIPLES AND APPLICATIONS OF THE GENERAL THEORY OF RELATIVITY

STEVEN WEINBERG
GRAVITATION AND COSMOLOGY PRINCIPLES AND APPLICATIONS OF THE GENERAL THEORY OF RELATIVITY Book PDF

Author : STEVEN WEINBERG
Publisher : Unknown
Page : 678 pages
File Size : 50,7 Mb
Release : 2008-07-01
Category : Electronic
ISBN : 8126517557

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GRAVITATION AND COSMOLOGY: PRINCIPLES AND APPLICATIONS OF THE GENERAL THEORY OF RELATIVITY by STEVEN WEINBERG Pdf

· Preliminaries · The General Theory of Relativity · Applications of Feneral Relativity · Formal Developments · Cosmology