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Geometrical methods of mathematical physics
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ISBN: 0521232716 0521298873 9780521298872 9780521232715 9781139171540 Year: 1980 Publisher: Cambridge Cambridge University Press


Book
A first course in general relativity
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ISBN: 9780521887052 Year: 2019 Publisher: Cambridge : Cambridge University Press,

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Clarity, readability and rigor combine in the second edition of this widely-used textbook to provide the first step into general relativity for undergraduate students with a minimal background in mathematics. Topics within relativity that fascinate astrophysical researchers and students alike are covered with Schutz's characteristic ease and authority - from black holes to gravitational lenses, from pulsars to the study of the Universe as a whole. This edition now contains discoveries by astronomers that require general relativity for their explanation; a revised chapter on relativistic stars, including new information on pulsars; an entirely rewritten chapter on cosmology; and an extended, comprehensive treatment of modern detectors and expected sources. Over 300 exercises, many new to this edition, give students the confidence to work with general relativity and the necessary mathematics, whilst the informal writing style makes the subject matter easily accessible.

A first course in general relativity
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ISBN: 0521277035 9780521277037 0521257700 9780521257701 Year: 1985 Publisher: Cambridge : Cambridge University Press,

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Gravity from the ground up
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ISBN: 110715717X 1139635875 9786612389443 1282389440 0511644698 0511807805 0511648693 0511336314 0511555512 0511336969 9780511648694 9780511336966 9780511251900 0511251904 9780511807800 9781282389441 0521455065 9780521455060 9781139635875 6612389443 9780511644696 9780511336317 9780511555510 Year: 2003 Publisher: Cambridge New York Cambridge University Press

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This book invites the reader to understand our Universe, not just marvel at it. From the clock-like motions of the planets to the catastrophic collapse of a star into a black hole, gravity controls the Universe. Gravity is central to modern physics, helping to answer the deepest questions about the nature of time, the origin of the Universe and the unification of the forces of nature. Linking key experiments and observations through careful physical reasoning, the author builds the reader's insight step-by-step from simple but profound facts about gravity on Earth to the frontiers of research. Topics covered include the nature of stars and galaxies, the mysteries of dark matter and dark energy, black holes, gravitational waves, inflation and the Big Bang. Suitable for general readers and for undergraduate courses, the treatment uses only high-school level mathematics, supplemented by optional computer programs, to explain the laws of physics governing gravity.


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A first course in general relativity
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ISBN: 9781108492676 1108492673 Year: 2022 Publisher: Cambridge : Cambridge university press,

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"Clarity, readability and rigor combine in the third edition of this widely used textbook to provide the first step into general relativity for advanced undergraduate students 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 the impact of their observation 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"--


Book
Relativistic velocity-potential hydrodynamics and stellar stability
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Year: 1972 Publisher: Ann Arbor : University Microfilms International (UMI),

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Geometrical methods of mathematical physics
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ISBN: 1107263492 1139171542 Year: 1980 Publisher: Cambridge : Cambridge University Press,

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In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.


Book
Equations of Motion in Relativistic Gravity
Authors: --- ---
ISBN: 9783319183350 3319183346 9783319183343 3319183354 Year: 2015 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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 The present volume aims to be a comprehensive survey on the derivation of the equations of motion, both in General Relativity as well as in alternative gravity theories. The topics covered range from the description of test bodies, to self-gravitating (heavy) bodies, to current and future observations. Emphasis is put on the coverage of various approximation methods (e.g., multipolar, post-Newtonian, self-force methods) which are extensively used in the context of the relativistic problem of motion. Applications discussed in this volume range from the motion of binary systems -- and the gravitational waves emitted by such systems -- to observations of the galactic center. In particular the impact of choices at a fundamental theoretical level on the interpretation of experiments is highlighted. This book provides a broad and up-do-date status report, which will not only be of value for the experts working in this field, but also may serve as a guideline for students with background in General Relativity who like to enter this field.


Digital
Equations of Motion in Relativistic Gravity
Authors: --- ---
ISBN: 9783319183350 9783319183367 9783319183343 9783319386706 Year: 2015 Publisher: Cham Springer International Publishing

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The present volume aims to be a comprehensive survey on the derivation of the equations of motion, both in General Relativity as well as in alternative gravity theories. The topics covered range from the description of test bodies, to self-gravitating (heavy) bodies, to current and future observations. Emphasis is put on the coverage of various approximation methods (e.g., multipolar, post-Newtonian, self-force methods) which are extensively used in the context of the relativistic problem of motion. Applications discussed in this volume range from the motion of binary systems -- and the gravitational waves emitted by such systems -- to observations of the galactic center. In particular the impact of choices at a fundamental theoretical level on the interpretation of experiments is highlighted. This book provides a broad and up-do-date status report, which will not only be of value for the experts working in this field, but also may serve as a guideline for students with background in General Relativity who like to enter this field.


Book
Gravitational wave data analysis : proceedings of the NATO Advanced Research Workshop [...], Cardiff, 6-9 July 1987
Authors: ---
ISBN: 9027728364 Year: 1988 Publisher: Dordrecht Boston London Kluwer Academic Publishers

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