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.
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From the reviews: "A sophisticated treatment of general relativity with a considerable number of applications to cosmology. … The book may be read in several different ways, depending on the interests of readers. A rich source of material; college libraries should have it on their shelves. Summing Up: Highly recommended. Upper-division undergraduates through professionals." (K. L. Schick, CHOICE, Vol. v4 (3), November, 2007) "This book is a carefully prepared overview about all essential aspects of relativity. Its 5 parts give the standard way to present the material … . Differently from other textbooks, the present authors emphasize much more concrete problems and examples … . The book contains a very large number of formulas, partially due to the fact, that many statements are given both in the old index-notation as well as in the modern index-free notation; I think this is helpful for the readers." (Hans-Jürgen Schmidt, Zentralblatt MATH, Vol. 1126 (3), 2008) "Even if you already have a sizable collection of books on general relativity, or if you are looking for a good modern book to teach a course from, the text by Grøn and Hervik is … a valuable addition to your collection." (David H. Delphenich, Mathematical Reviews, Issue 2008 i)
From the Back Cover
Many of us have experienced the same; fallen and broken something. Yet supposedly, gravity is the weakest of the fundamental forces; it is claimed to be 10-15 times weaker than electromagnetism. Still, every one of us has more or less had a personal relationship with gravity. Einstein’s General Theory of Relativity: With Modern Applications in Cosmology by Oyvind Gron and Sigbjorn Hervik is about gravity and the concept of gravity as Albert Einstein saw it- curved spaces, four-dimensional manifolds and geodesics. The book starts with the 1st principals of relativity and an introduction to Einstein’s field equations. Next up are the three classical tests of the relativity theory and an introduction to black holes. The book contains several topics not found in other textbooks, such as Kaluza-Klein theory, anisotropic models of the universe, and new developments involving brane cosmology. Gron and Hervik have included a part in the book called "Advanced Topics." These topics range from the very edge of research to older, accepted ideas. In particular, the last two chapters deal with Einstein gravity in five dimensions, which has been a hot topic of research in recent years. On one final note, cosmology has also proven to be a very important testing arena for the general theory of relativity and a large part of the book is therefore devoted to this subject.
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Most Helpful Customer Reviews
11 of 12 people found the following review helpful:
5.0 out of 5 stars
A Physics Professor,
This review is from: Einstein's General Theory of Relativity: With Modern Applications in Cosmology (Hardcover)
This book is simply , the best choice if you are planning to teach GR beyond Schutz or Nightingale.
I am inclined to landau and Adler .I am a Geometry - biased physicist. This book ,reviews the Geometry of manifolds , recalling even Gauss-Weingarten equations!! . Then it covers the standard ,Vectors , Tensors, Special Relativity interior and vacuum solutions. Black Holes and Gravitational waves.etc. Later the authors proceed to derive Kerr Metric , from Ernst equation , something that you don't see very often . I was yearning for having a copy of Adler , since is the other book that cover Kerr derivation is Chandra , which is too picky. But then I got lucky ,I found this book. Something even more interesting s that it incorporates Advanced Topics like Kaluza Klein and Brane Cosmology ( Randall -Sundrum) etc. The book brings step - by step derivations and a considerable amount of Exercises. It is a noble , friendly book , produced by Physicist that really want you to learn ..Buy it .
7 of 12 people found the following review helpful:
2.0 out of 5 stars
jw,
By John Walker "jw" (Virginia) - See all my reviews
This review is from: Einstein's General Theory of Relativity: With Modern Applications in Cosmology (Hardcover)
This is a student friendly book and the material very well presented.
The production quality of the book itself is however sloppy. The text is too close to the binding or the spine of the book and makes the reading quite tedious. This is very ignorant and unprofessional by the publisher. I give the book 5 stars for content and zero star to the publisher. With this production quality the book should cost no more than $30.
7 of 12 people found the following review helpful:
1.0 out of 5 stars
Up to you,
This review is from: Einstein's General Theory of Relativity: With Modern Applications in Cosmology (Hardcover)
Again a decent book ruined by the printing quality. I don't know if it was only my copy purchased at UK, but the shamelessness of the publishers seems to have no end. The first edition of the book is printed like the 'printing on demand' books, that is, poor quality galore: a bunch of leaves with a tiny font, glued in a cardboard covers. Be sure to have it in your hands before buying it, so you can see what for are you going to pay 100$, or you'll have a big disappointment.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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universe models, isotropic universe models, inhomogeneous universe models, linear field approximation, orthonormal basis field, orthonormal frame approach, hidden brane, visible brane, left invariant frame, repulsive gravitation, shear scalar, neutrino gas, quintessence energy, anisotropic stress tensor, flat universe models, mann tensor, second structural equation, cosmic redshift, transitive space, first structural equation, sin bey, spatial metric tensor, inflationary universe models, mixmaster universe, coordinate basis vectors Key Phrases - Capitalized Phrases (CAPs): (learn more)
Covariant Decomposition, Example Example, Example Let, Israel's Formalism, Examples Example, Einstein-de Sitter, Non-inertial Reference Frames, The Linear Field Approximation, Milky Way, Canonical Cosmology, Poincaré's Lemma, Find the Euler-Lagrange, Kaluza-Klein Theory, The Kantowski-Sachs, Using Einstein, Covariant Lagrangian, The Randall-Sundrum, The Sachs-Wolfe, Big Crunch, The Lemaître-Tolman-Bondi, Schwarzschild-anti-de Sitter, Curvature Figure, The Metric Junction Method Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
universe models, isotropic universe models, inhomogeneous universe models, linear field approximation, orthonormal basis field, orthonormal frame approach, hidden brane, visible brane, left invariant frame, repulsive gravitation, shear scalar, neutrino gas, quintessence energy, anisotropic stress tensor, flat universe models, mann tensor, second structural equation, cosmic redshift, transitive space, first structural equation, sin bey, spatial metric tensor, inflationary universe models, mixmaster universe, coordinate basis vectors Key Phrases - Capitalized Phrases (CAPs): (learn more)
Covariant Decomposition, Example Example, Example Let, Israel's Formalism, Examples Example, Einstein-de Sitter, Non-inertial Reference Frames, The Linear Field Approximation, Milky Way, Canonical Cosmology, Poincaré's Lemma, Find the Euler-Lagrange, Kaluza-Klein Theory, The Kantowski-Sachs, Using Einstein, Covariant Lagrangian, The Randall-Sundrum, The Sachs-Wolfe, Big Crunch, The Lemaître-Tolman-Bondi, Schwarzschild-anti-de Sitter, Curvature Figure, The Metric Junction Method Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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