Introducing Einstein's Relativity: A Deeper UnderstandingThere is little doubt that Einstein's theory of relativity captures the imagination. Not only has it radically altered the way we view the universe, but the theory also has a considerable number of surprises in store. This is especially so in the three main topics of current interest that this book reaches, namely: black holes, gravitational waves, and cosmology. The main aim of this textbook is to provide students with a sound mathematical introduction coupled to an understanding of the physical insights needed to explore the subject. Indeed, the book follows Einstein in that it introduces the theory very much from a physical point of view. After introducing the special theory of relativity, the basic field equations of gravitation are derived and discussed carefully as a prelude to first solving them in simple cases and then exploring the three main areas of application. This new edition contains a substantial extension content that considers new and updated developments in the field. Topics include coverage of the advancement of observational cosmology, the detection of gravitational waves from colliding black holes and neutron stars, and advancements in modern cosmology. Einstein's theory of relativity is undoubtedly one of the greatest achievements of the human mind. Yet, in this book, the author makes it possible for students with a wide range of abilities to deal confidently with the subject. Based on both authors' experience teaching the subject this is achieved by breaking down the main arguments into a series of simple logical steps. Full details are provided in the text and the numerous exercises while additional insight is provided through the numerous diagrams. As a result this book makes an excellent course for any reader coming to the subject for the first time while providing a thorough understanding for any student wanting to go on to study the subject in depth |
Contents
1 The organization of the book | 1 |
Part A Special Relativity | 11 |
Part B The Formalism of Tensors | 63 |
Part C General Relativity | 133 |
Part D Black Holes | 319 |
Part E Gravitational Waves | 399 |
Part F Cosmology | 479 |
Answers to exercises | 573 |
| 595 | |
| 599 | |
Other editions - View all
Introducing Einstein's Relativity: A Deeper Understanding Ray d'Inverno,James Vickers Limited preview - 2022 |
Introducing Einstein's Relativity: A Deeper Understanding Ray d'Inverno No preview available - 2021 |
Common terms and phrases
asymptotically black hole called clock components consider constant contravariant coordinate system cosmological covariant derivative curvature curves defined density ds² dt² Einstein Einstein's equations energy energy-momentum tensor event horizon exercise field equations flat function galaxies geometry given gives gravitational field gravitational waves hence hypersurface inertial observer integral James Vickers Kerr solution Killing vector Lagrangian light cone light ray line element Lorentz transformation manifold mass measure metric Minkowski Minkowski space motion Newtonian theory null geodesics obtain parameter particle Penrose Penrose diagram photon physical principle quantity Rabcd radiation Ray d'Inverno region relativistic result Riemann tensor rotating satisfies scalar Schwarzschild solution Show sin² singularity space spacelike spatial special relativity star surface tangent theorem timelike vacuum vanishes vector field velocity world-line


