A Short Course In General Relativity And Cosmology

Author : Reinhard Hentschke,Christian Hölbling
Publisher : Springer Nature
Page : 296 pages
File Size : 40,8 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.

Author : James A. Foster,J. David Nightingale
Publisher : Springer Science & Business Media
Page : 295 pages
File Size : 43,7 Mb
Release : 2010-04-30
Category : Science
ISBN : 9780387275833

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A Short Course in General Relativity by James A. Foster,J. David Nightingale Pdf

Suitable for a one-semester course in general relativity for senior undergraduates or beginning graduate students, this text clarifies the mathematical aspects of Einstein's theory of relativity without sacrificing physical understanding.

Author : J. Foster,J. D. Nightingale
Publisher : Springer
Page : 268 pages
File Size : 54,7 Mb
Release : 1995
Category : General relativity (Physics).
ISBN : UOM:49015002511450

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A Short Course in General Relativity by J. Foster,J. D. Nightingale Pdf

Suitable as a one-semester course in general relativity for senior undergraduate or beginning graduate students, this text clarifies the mathematical aspects of Einstein's general theory of relativity without sacrificing physical understanding. The text begins with an exposition of those aspects of tensor calculus and differential geometry needed for a proper exposition of the subject. The discussion then turns to the spacetime of general relativity and to geodesic motion, comparisons and contrasts with Newton's theory being drawn where appropriate. A brief consideration of the field equations is followed by a discussion of physics in the vicinity of massive objects, including an elementary treatment of black holes. Particular attention is paid to those aspects of the theory that have observational consequences. The book concludes with brief introductory chapters on gravitational radiation and cosmology, and includes an appendix that reviews the special theory of relativity. In preparing this new edition, the authors have made extensive revisions to the original text. In particular, the first three chapters -- covering coordinate systems, tensors and the geometry of curved spaces -- have been completely rewritten to make the material readily accessible to physics students. Many examples, exercises and problems help guide the student through the theory.

Author : Ta-Pei Cheng
Publisher : Oxford University Press
Page : 452 pages
File Size : 55,7 Mb
Release : 2010
Category : Science
ISBN : 9780199573639

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Relativity, Gravitation and Cosmology by Ta-Pei Cheng Pdf

An introduction to Einstein's general theory of relativity, this work is structured so that interesting applications, such as gravitational lensing, black holes and cosmology, can be presented without the readers having to first learn the difficult mathematics of tensor calculus.

Author : Salvatore Capozziello,Mariafelicia De Laurentis
Publisher : Springer
Page : 400 pages
File Size : 41,7 Mb
Release : 2016-08-31
Category : Science
ISBN : 3319327461

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General Relativity and Cosmology by Salvatore Capozziello,Mariafelicia De Laurentis Pdf

This book offers an excellent introduction to General Relativity and Cosmology. It is designed to serve as a self-contained text for graduate and advanced undergraduate students and also to provide a basic text for PhD courses. Each of the four parts of the book, two basic and two advanced, can be used as an independent module. In the first part, the main concepts of General Relativity are presented, while the second offers an introduction to the astrophysical applications. The third part is advanced, and discusses the extensions of General Relativity; the contents represent ideal material for a short course at PhD level. The final part of the book provides an introduction to Relativistic Cosmology and its applications. Throughout the text, all mathematical calculations are explained clearly, in step by step detail. Whenever appropriate, the reader is guided to further specialized sources of information.

Author : Bernard Schutz
Publisher : Cambridge University Press
Page : 411 pages
File Size : 41,7 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.

Author : Bernard F. Schutz
Publisher : Cambridge University Press
Page : 396 pages
File Size : 40,6 Mb
Release : 1985-01-31
Category : Science
ISBN : 0521277035

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A First Course in General Relativity by Bernard F. Schutz Pdf

This textbook develops general relativity and its associated mathematics from a minimum of prerequisites, leading to a physical understanding of the theory in some depth.

Author : Tai L. Chow
Publisher : Unknown
Page : 300 pages
File Size : 43,6 Mb
Release : 1994
Category : Science
ISBN : UOM:39015032239645

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General Relativity and Cosmology by Tai L. Chow Pdf

Author : Foster
Publisher : Unknown
Page : 302 pages
File Size : 40,7 Mb
Release : 2009-11-01
Category : Electronic
ISBN : 8184894570

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A Short Course In General Relativity, 3E by Foster Pdf

Author : Ta-Pei Cheng
Publisher : Oxford University Press
Page : 305 pages
File Size : 45,5 Mb
Release : 2015
Category : Science
ISBN : 9780199693405

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A College Course on Relativity and Cosmology by Ta-Pei Cheng Pdf

This advanced undergraduate text introduces Einstein's general theory of relativity. The topics covered include geometric formulation of special relativity, the principle of equivalence, Einstein's field equation and its spherical-symmetric solution, as well as cosmology. An emphasis is placed on physical examples and simple applications without the full tensor apparatus. It begins by examining the physics of the equivalence principle and looks at how it inspired Einstein's idea of curved spacetime as the gravitational field. At a more mathematically accessible level, it provides a metric description of a warped space, allowing the reader to study many interesting phenomena such as gravitational time dilation, GPS operation, light deflection, precession of Mercury's perihelion, and black holes. Numerous modern topics in cosmology are discussed from primordial inflation and cosmic microwave background to the dark energy that propels an accelerating universe. Building on Cheng's previous book, 'Relativity, Gravitation and Cosmology: A Basic Introduction', this text has been tailored to the advanced student. It concentrates on the core elements of the subject making it suitable for a one-semester course at the undergraduate level. It can also serve as an accessible introduction of general relativity and cosmology for those readers who want to study the subject on their own. The proper tensor formulation of Einstein's field equation is presented in an appendix chapter for those wishing to glimpse further at the mathematical details. To request a copy of the Solutions Manual, visit http://global.oup.com/uk/academic/physics/admin/solutions.

Author : Peter Collier
Publisher : Incomprehensible Books
Page : 276 pages
File Size : 40,8 Mb
Release : 2017-04-01
Category : Science
ISBN : 9780957389465

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A Most Incomprehensible Thing by Peter Collier Pdf

A straightforward, enjoyable guide to the mathematics of Einstein's relativity To really understand Einstein's theory of relativity – one of the cornerstones of modern physics – you have to get to grips with the underlying mathematics. This self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. With a user-friendly style, clear step-by-step mathematical derivations, many fully solved problems and numerous diagrams, this book provides a comprehensive introduction to a fascinating but complex subject. For those with minimal mathematical background, the first chapter gives a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes, relativistic cosmology and gravitational waves. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes. "I must observe that the theory of relativity resembles a building consisting of two separate stories, the special theory and the general theory. The special theory, on which the general theory rests, applies to all physical phenomena with the exception of gravitation; the general theory provides the law of gravitation and its relations tothe other forces of nature." – Albert Einstein, 1919 Understand even the basics of Einstein's amazing theory and the world will never seem the same again. Contents: Preface Introduction 1 Foundation mathematics 2 Newtonian mechanics 3 Special relativity 4 Introducing the manifold 5 Scalars, vectors, one-forms and tensors 6 More on curvature 7 General relativity 8 The Newtonian limit 9 The Schwarzschild metric 10 Schwarzschild black holes 11 Cosmology 12 Gravitational waves Appendix: The Riemann curvature tensor Bibliography Acknowledgements January 2019. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.

Author : Jerzy Plebanski,Andrzej Krasinski
Publisher : Cambridge University Press
Page : 18 pages
File Size : 40,7 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.

Author : Jayant Vishnu Narlikar
Publisher : Unknown
Page : 298 pages
File Size : 55,5 Mb
Release : 1979
Category : Science
ISBN : UVA:X001408239

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Lectures on General Relativity and Cosmology by Jayant Vishnu Narlikar Pdf

Author : Derek Frank Lawden
Publisher : Unknown
Page : 184 pages
File Size : 51,5 Mb
Release : 2013-08
Category : Electronic
ISBN : 1258787415

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An Introduction to Tensor Calculus and Relativity by Derek Frank Lawden Pdf

Author : Bernard Schutz
Publisher : Cambridge University Press
Page : 128 pages
File Size : 50,6 Mb
Release : 2022-05-31
Category : Science
ISBN : 9781108586597

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A First Course in General Relativity by Bernard Schutz Pdf

Clarity, readability, and rigor combine in the third edition of this widely used textbook to provide the first step into general relativity for advanced undergraduates with a minimal background in mathematics. Topics within relativity that fascinate astrophysics researchers and students alike are covered with Schutz's characteristic ease and authority, from black holes to relativistic objects, from pulsars to the study of the Universe as a whole. This third edition contains discoveries by astronomers that require general relativity for their explanation; two chapters on gravitational waves, including direct detections of gravitational waves and their observations' impact on cosmological measurements; new information on black holes and neutron stars; and greater insight into the expansion of the Universe. Over 300 exercises, many new to this edition, give students the confidence to work with general relativity and the necessary mathematics, while the informal writing style and worked examples make the subject matter easily accessible.