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.

The General Theory of Relativity
The General Theory of Relativity

Author: Farook Rahaman

Publisher: Cambridge University Press

Published: 2021-09-30

Total Pages: 428

ISBN-13: 1009032372

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The book aims to expound the general theory of relativity with a mathematical point of view. Catering to the needs of postgraduate students and researchers in the field of astrophysics and mathematical physics, it offers the readers a comprehensive understanding of the advanced topics of the subject matter. It specifically discusses the mathematical foundation of tensor calculus, gives a background of geodesics, Einstein's field equations, linearised gravity, spacetime of spherically symmetric distribution of matter and black holes, and particle and photon orbits in spacetime. Apart from the formulation of general relativity, Lie derivatives and its applications, and causality of spacetime are also discussed in detail. Certain preliminary concepts of extrinsic curvature, Lagrangian formalism of general theory of relativity and 3 + 1 decomposition of space-time are covered and are provided in the book as appendices.

General Theory of Relativity
General Theory of Relativity

Author: P. A.M. Dirac

Publisher: Princeton University Press

Published: 2016-08-10

Total Pages: 80

ISBN-13: 1400884195

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Einstein's general theory of relativity requires a curved space for the description of the physical world. If one wishes to go beyond superficial discussions of the physical relations involved, one needs to set up precise equations for handling curved space. The well-established mathematical technique that accomplishes this is clearly described in this classic book by Nobel Laureate P.A.M. Dirac. Based on a series of lectures given by Dirac at Florida State University, and intended for the advanced undergraduate, General Theory of Relativity comprises thirty-five compact chapters that take the reader point-by-point through the necessary steps for understanding general relativity.

Einstein’s General Theory of Relativity
Einstein’s General Theory of Relativity

Author: Asghar Qadir

Publisher: Cambridge Scholars Publishing

Published: 2020-01-10

Total Pages: 325

ISBN-13: 1527545180

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This book takes a historical approach to Einstein’s General Theory of Relativity and shows the importance that geometry has to the theory. Starting from simpler and more general considerations, it goes on to detail the latest developments in the field and considers several cutting-edge research areas. It discusses Einstein’s theory from a geometrical and a field theoretic viewpoint, before moving on to address gravitational waves, black holes and cosmology.

General Theory of Relativity
General Theory of Relativity

Author: C. W. Kilmister

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 376

ISBN-13: 1483154653

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General Theory of Relativity deals with the general theory of relativity and covers topics ranging from the principle of equivalence and the space-theory of matter to the hypotheses which lie at the bases of geometry, along with the effect of gravitation on the propagation of light. The motion of particles in general relativity theory is also discussed. This book is comprised of 14 chapters and begins with a review of the principle of equivalence, paying particular attention to the question of the existence of inertial frames in Newtonian mechanics. The beginnings and foundations of general relativity are then considered, together with modern developments in the field. Subsequent chapters explore the general notion of multiply extended magnitudes; the space-theory of matter; the effect of gravitation on light propagation; gravitational waves and the motion of particles in general relativity theory; and homogeneity and covariance. An invariant formulation of gravitational radiation theory is also presented. The last three chapters examine continued gravitational contraction, a spinor approach to general relativity, and gravitational red-shift in nuclear resonance. This monograph will be of interest to physicists and mathematicians.

What Is Relativity?
What Is Relativity?

Author: Jeffrey Bennett

Publisher: Columbia University Press

Published: 2014-03-04

Total Pages: 203

ISBN-13: 0231537034

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A renowned astrophysicist’s approachable introduction to Albert Einstein’s theory of relativity and its application in our daily lives. It is commonly assumed that if the Sun suddenly turned into a black hole, it would suck Earth and the rest of the planets into oblivion. Yet, as prominent author and astrophysicist Jeffrey Bennett points out, black holes don't suck. With that simple idea in mind, Bennett begins an entertaining introduction to Einstein's theories of relativity, describing the amazing phenomena readers would actually experience if they took a trip to a black hole. The theory of relativity reveals the speed of light as the cosmic speed limit, the mind-bending ideas of time dilation and curvature of spacetime, and what may be the most famous equation in history: E = mc2. Indeed, the theory of relativity shapes much of our modern understanding of the universe. It is not “just a theory”―every major prediction of relativity has been tested to exquisite precision, and its practical applications include the Global Positioning System (GPS). Amply illustrated and written in clear, accessible prose, Bennett's book proves anyone can grasp the basics of Einstein's ideas. His intuitive, nonmathematical approach gives a wide audience its first real taste of how relativity works and why it is so important to science and the way we view ourselves as human beings. “Well-written and uniquely readable . . . Bennett carefully avoids bombastic statements and “spectacularization” of the subject.” —Alberto Nicolis, Columbia University “I have read lots of introductions to relativity, but none is as clear and compelling as this one.” —Seth Shostak, Senior Astronomer, SETI Institute

General Theory of Relativity
General Theory of Relativity

Author: S. P. Puri

Publisher: Pearson Education India

Published: 2013

Total Pages: 369

ISBN-13: 9332516340

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General Theory of Relativity is the generalization of special relativity to include gravitation. It emphasizes that the law of Physics must be same for all observers and thereby extended it to non-inertial frames. This text is intended as a textbook for the students of Physics at the undergraduate and postgraduate level. It gives equal importance to the mathematical and physical aspects of general theory of relativity and hence strengthening the foregrounds.

Special Relativity
Special Relativity

Author: Michael Tsamparlis

Publisher: Springer Science & Business Media

Published: 2010-05-17

Total Pages: 605

ISBN-13: 3642038379

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Writing a new book on the classic subject of Special Relativity, on which numerous important physicists have contributed and many books have already been written, can be like adding another epicycle to the Ptolemaic cosmology. Furthermore, it is our belief that if a book has no new elements, but simply repeats what is written in the existing literature, perhaps with a different style, then this is not enough to justify its publication. However, after having spent a number of years, both in class and research with relativity, I have come to the conclusion that there exists a place for a new book. Since it appears that somewhere along the way, mathem- ics may have obscured and prevailed to the degree that we tend to teach relativity (and I believe, theoretical physics) simply using “heavier” mathematics without the inspiration and the mastery of the classic physicists of the last century. Moreover current trends encourage the application of techniques in producing quick results and not tedious conceptual approaches resulting in long-lasting reasoning. On the other hand, physics cannot be done a ́ la carte stripped from philosophy, or, to put it in a simple but dramatic context A building is not an accumulation of stones! As a result of the above, a major aim in the writing of this book has been the distinction between the mathematics of Minkowski space and the physics of r- ativity.

Lecture Notes on the General Theory of Relativity
Lecture Notes on the General Theory of Relativity

Author: Øyvind Grøn

Publisher: Springer Science & Business Media

Published: 2010-03-23

Total Pages: 258

ISBN-13: 0387881344

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This book collects lectures on the general theory of relativity given by Dr. Øyvind Grøn at the University of Oslo, Norway. This accessible text allows students to follow the deductions all the way throughout the book.

The Perfect Theory
The Perfect Theory

Author: Pedro G. Ferreira

Publisher: HMH

Published: 2014-02-04

Total Pages: 309

ISBN-13: 0547554907

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“One of the best popular accounts of how Einstein and his followers have been trying to explain the universe for decades” (Kirkus Reviews, starred review). Physicists have been exploring, debating, and questioning the general theory of relativity ever since Albert Einstein first presented it in 1915. This has driven their work to unveil the universe’s surprising secrets even further, and many believe more wonders remain hidden within the theory’s tangle of equations, waiting to be exposed. In this sweeping narrative of science and culture, an astrophysicist brings general relativity to life through the story of the brilliant physicists, mathematicians, and astronomers who have taken up its challenge. For these scientists, the theory has been both a treasure trove and an enigma. Einstein’s theory, which explains the relationships among gravity, space, and time, is possibly the most perfect intellectual achievement of modern physics—yet studying it has always been a controversial endeavor. Relativists were the target of persecution in Hitler’s Germany, hounded in Stalin’s Russia, and disdained in 1950s America. Even today, PhD students are warned that specializing in general relativity will make them unemployable. Still, general relativity has flourished, delivering key insights into our understanding of the origin of time and the evolution of all the stars and galaxies in the cosmos. Its adherents have revealed what lies at the farthest reaches of the universe, shed light on the smallest scales of existence, and explained how the fabric of reality emerges. Dark matter, dark energy, black holes, and string theory are all progeny of Einstein’s theory. In the midst of a momentous transformation in modern physics, as scientists look farther and more clearly into space than ever before, The Perfect Theory exposes the greater relevance of general relativity, showing us where it started, where it has led—and where it can still take us.