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Author : M. W. Guidry,Mike Guidry
Publisher : Cambridge University Press
Page : 625 pages
File Size : 42,9 Mb
Release : 2019-01-03
Category : Science
ISBN : 9781107197893
Introduces the physics of general relativity in relation to modern topics such as gamma-ray bursts, black holes, and gravitational waves.
Author : Brian P. Dolan
Publisher : Cambridge University Press
Page : 215 pages
File Size : 55,5 Mb
Release : 2023-06-30
Category : Science
ISBN : 9781009263719
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.
Author : Robert M. Wald
Publisher : University of Chicago Press
Page : 507 pages
File Size : 53,5 Mb
Release : 2010-05-15
Category : Science
ISBN : 9780226870373
"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
Author : Thomas Thiemann
Publisher : Cambridge University Press
Page : 739 pages
File Size : 51,9 Mb
Release : 2008-11-13
Category : Science
ISBN : 9781139467599
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.
Author : Kirill Krasnov
Publisher : Cambridge University Press
Page : 391 pages
File Size : 52,8 Mb
Release : 2020-11-26
Category : Science
ISBN : 9781108481649
Carefully documenting the different formulations of general relativity, the author reveals valuable insight into the nature of the gravitational force and its interaction with matter. This book will interest graduate students and researchers in the fields of general relativity, gravitational physics and differential geometry.
Author : Bernard Schutz
Publisher : Cambridge University Press
Page : 411 pages
File Size : 41,5 Mb
Release : 2009-05-14
Category : Science
ISBN : 9780521887052
Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background.
Author : Sean M. Carroll
Publisher : Cambridge University Press
Page : 529 pages
File Size : 49,9 Mb
Release : 2019-08-08
Category : Science
ISBN : 9781108488396
An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.
Author : Andrew M. Steane
Publisher : Oxford University Press
Page : 436 pages
File Size : 52,7 Mb
Release : 2012-10-04
Category : Science
ISBN : 9780199662852
This book unfolds the subject of Relativity for undergraduate students of physics. It fills a gap between introductory descriptions and texts for researchers. Assuming almost no prior knowledge, it allows the student to handle all the Relativity needed for a university course, with explanations as simple, thorough, and engaging as possible.
Author : August Hall
Publisher : NY Research Press
Page : 0 pages
File Size : 42,6 Mb
Release : 2023-09-26
Category : Science
ISBN : 1647254655
The general theory of relativity, also called the Einstein's theory of gravity and the general relativity theory, is the geometric theory of gravitation. It provides the description of gravity as a geometric property of space and time. There are several astrophysical applications of the general theory of relativity including gravitational lensing, cosmology, gravitational-wave astronomy, and black holes. The theory of general relativity forms the basis for disciplines of cosmology and relativistic astrophysics. Cosmology is a branch of astronomy that studies the origin and evolution of the universe. The contemporary researches in cosmology are based on the field equations of general relativity. Under cosmology, the universe is considered on extremely large scales that are evolving over extremely long times that are comparable to the age of the universe. Some researchers have also proposed cosmological models based on space-times with dimensions, D > 4. Some of the important applications of general relativity in cosmology and astrophysics include gamma-ray bursts, neutron stars, black holes and gravitational waves. This book includes some of the vital pieces of works being conducted across the world, on various topics related to modern general relativity. Researchers and students studying this theory and its applications will be assisted by this book.
Author : Klaas Landsman
Publisher : Radboud University Press
Page : 394 pages
File Size : 55,6 Mb
Release : 2021-10-08
Category : Science
ISBN : 9789083178929
This book, dedicated to Roger Penrose, is a second, mathematically oriented course in general relativity. It contains extensive references and occasional excursions in the history and philosophy of gravity, including a relatively lengthy historical introduction. The book is intended for all students of general relativity of any age and orientation who have a background including at least first courses in special and general relativity, differential geometry, and topology. The material is developed in such a way that through the last two chapters the reader may acquire a taste of the modern mathematical study of black holes initiated by Penrose, Hawking, and others, as further influenced by the initial-value or PDE approach to general relativity. Successful readers might be able to begin reading research papers on black holes, especially in mathematical physics and in the philosophy of physics. The chapters are: Historical introduction, General differential geometry, Metric differential geometry, Curvature, Geodesics and causal structure, The singularity theorems of Hawking and Penrose, The Einstein equations, The 3+1 split of space-time, Black holes I: Exact solutions, and Black holes II: General theory. These are followed by two appendices containing background on Lie groups, Lie algebras, & constant curvature, and on Formal PDE theory.
Author : Tai L. Chow
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 48,8 Mb
Release : 2007-10-24
Category : Science
ISBN : 9780387736310
Here it is, in a nutshell: the history of one genius’s most crucial work – discoveries that were to change the face of modern physics. In the early 1900s, Albert Einstein formulated two theories that would forever change the landscape of physics: the Special Theory of Relativity and the General Theory of Relativity. Respected American academic Professor Tai Chow tells us the story of these discoveries. He details the basic ideas of Einstein, including his law of gravitation. Deftly employing his inimitable writing style, he goes on to explain the physics behind black holes, weaving into his account an explanation of the structure of the universe and the science of cosmology.
Author : Carlo Rovelli
Publisher : Cambridge University Press
Page : 175 pages
File Size : 54,5 Mb
Release : 2021-09-09
Category : Science
ISBN : 9781316516072
A straightforward introduction to General Relativity, explaining the physical, philosophical and mathematical ideas it is built on.
Author : Lewis Ryder
Publisher : Cambridge University Press
Page : 443 pages
File Size : 42,5 Mb
Release : 2020-01-16
Category : Science
ISBN : 9781139478229
A student-friendly style, over 100 illustrations, and numerous exercises are brought together in this textbook for advanced undergraduate and beginning graduate students in physics and mathematics. Lewis Ryder develops the theory of general relativity in detail. Covering the core topics of black holes, gravitational radiation, and cosmology, he provides an overview of general relativity and its modern ramifications. The book contains chapters on gravitational radiation, cosmology, and connections between general relativity and the fundamental physics of the microworld. It explains the geometry of curved spaces and contains key solutions of Einstein's equations - the Schwarzschild and Kerr solutions. Mathematical calculations are worked out in detail, so students can develop an intuitive understanding of the subject, as well as learn how to perform calculations. The book also includes topics concerned with the relation between general relativity and other areas of fundamental physics. Selected solutions for instructors are available under Resources.
Author : L. P. Hughston,K. P. Tod
Publisher : Cambridge University Press
Page : 196 pages
File Size : 46,5 Mb
Release : 1990
Category : Mathematics
ISBN : 052133943X
This textbook provides an introduction to general relativity for mathematics undergraduates or graduate physicists. After a review of Cartesian tensor notation and special relativity the concepts of Riemannian differential geometry are introducted. More emphasis is placed on an intuitive grasp of the subject and a calculational facility than on a rigorous mathematical exposition. General relativity is then presented as a relativistic theory of gravity reducing in the appropriate limits to Newtonian gravity or special relativity. The Schwarzchild solution is derived and the gravitational red-shift, time dilation and classic tests of general relativity are discussed. There is a brief account of gravitational collapse and black holes based on the extended Schwarzchild solution. Other vacuum solutions are described, motivated by their counterparts in linearised general relativity. The book ends with chapters on cosmological solutions to the field equations. There are exercises attached to each chapter, some of which extend the development given in the text.
Author : Geoffrey Compère
Publisher : Springer
Page : 140 pages
File Size : 53,7 Mb
Release : 2019-01-31
Category : Science
ISBN : 9783030042608
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.