Modern General Relativity
Modern General Relativity

Author: Mike Guidry

Publisher: Cambridge University Press

Published: 2019-01-03

Total Pages: 625

ISBN-13: 1108187307

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Einstein's general theory of relativity is widely considered to be one of the most elegant and successful scientific theories ever developed, and it is increasingly being taught in a simplified form at advanced undergraduate level within both physics and mathematics departments. Due to the increasing interest in gravitational physics, in both the academic and the public sphere, driven largely by widely-publicised developments such as the recent observations of gravitational waves, general relativity is also one of the most popular scientific topics pursued through self-study. Modern General Relativity introduces the reader to the general theory of relativity using an example-based approach, before describing some of its most important applications in cosmology and astrophysics, such as gamma-ray bursts, neutron stars, black holes, and gravitational waves. With hundreds of worked examples, explanatory boxes, and end-of-chapter problems, this textbook provides a solid foundation for understanding one of the towering achievements of twentieth-century physics.

Modern General Relativity
Modern General Relativity

Author: M. W. Guidry

Publisher: Cambridge University Press

Published: 2019-01-03

Total Pages: 625

ISBN-13: 1107197899

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Introduces the physics of general relativity in relation to modern topics such as gamma-ray bursts, black holes, and gravitational waves.

Modern Canonical Quantum General Relativity
Modern Canonical Quantum General Relativity

Author: Thomas Thiemann

Publisher: Cambridge University Press

Published: 2008-11-13

Total Pages: 739

ISBN-13: 113946759X

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This book provides a complete treatise of the canonical quantisation of general relativity and the loop quantum gravity theory. Mathematical concepts are provided, so it can be read by graduate students with a basic knowledge of quantum field theory or general relativity.

Einstein's General Theory of Relativity
Einstein's General Theory of Relativity

Author: Brian P. Dolan

Publisher: Cambridge University Press

Published: 2023-06-30

Total Pages: 215

ISBN-13: 1009263714

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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.

General Relativity
General Relativity

Author: Robert M. Wald

Publisher: University of Chicago Press

Published: 2010-05-15

Total Pages: 507

ISBN-13: 0226870375

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"Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement "Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today

Advanced Lectures on General Relativity
Advanced Lectures on General Relativity

Author: Geoffrey Compère

Publisher: Springer

Published: 2019-01-31

Total Pages: 148

ISBN-13: 303004260X

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These lecture notes are intended for starting PhD students in theoretical physics who have a working knowledge of General Relativity. The four topics covered are: Surface charges as conserved quantities in theories of gravity; Classical and holographic features of three-dimensional Einstein gravity; Asymptotically flat spacetimes in four dimensions: BMS group and memory effects; The Kerr black hole: properties at extremality and quasi-normal mode ringing. Each topic starts with historical foundations and points to a few modern research directions.

A First Course in General Relativity
A First Course in General Relativity

Author: Bernard Schutz

Publisher: Cambridge University Press

Published: 2009-05-14

Total Pages: 411

ISBN-13: 0521887054

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

Introduction to General Relativity
Introduction to General Relativity

Author: Cosimo Bambi

Publisher: Springer

Published: 2018-06-18

Total Pages: 335

ISBN-13: 9811310904

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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.

General Relativity
General Relativity

Author: Norbert Straumann

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 674

ISBN-13: 3662118270

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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

Elements of General Relativity
Elements of General Relativity

Author: Piotr T. Chruściel

Publisher: Springer Nature

Published: 2020-03-19

Total Pages: 285

ISBN-13: 3030284166

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This book provides an introduction to the mathematics and physics of general relativity, its basic physical concepts, its observational implications, and the new insights obtained into the nature of space-time and the structure of the universe. It introduces some of the most striking aspects of Einstein's theory of gravitation: black holes, gravitational waves, stellar models, and cosmology. It contains a self-contained introduction to tensor calculus and Riemannian geometry, using in parallel the language of modern differential geometry and the coordinate notation, more familiar to physicists. The author has strived to achieve mathematical rigour, with all notions given careful mathematical meaning, while trying to maintain the formalism to the minimum fit-for-purpose. Familiarity with special relativity is assumed. The overall aim is to convey some of the main physical and geometrical properties of Einstein's theory of gravitation, providing a solid entry point to further studies of the mathematics and physics of Einstein equations.