Introducing Einstein's Relativity: A Deeper Understanding by James Vickers Paper

Description: Introducing Einstein's Relativity by James Vickers, Ray d'Inverno This textbook provides students with a sound mathematical introduction coupled with an understanding of the physical insights needed to explore the subject FORMAT Paperback CONDITION Brand New Publisher Description There is little doubt that Einsteins 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 mathematicalintroduction 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 ofview. 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 fromcolliding black holes and neutron stars, and advancements in modern cosmology. Einsteins theory of relativity is undoubtedly one of the greatest achievements of the human mind. Yet, inthis 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 thefirst time while providing a thorough understanding for any student wanting to go on to study the subject in depth Author Biography Professor Ray dInverno is Emeritus Professor in General Relativity at the University of Southhampton. A pioneer in the use of computer algebra in general relativity, Professor dInverno developed the early system LAM (Lisp Algebraic Manipulator), which was a precursor to Sheep, the system most used to date in the study of exact solutions and their invariant classification. He also developed the 2+2 formalism for analysing the initial value problem in generalrelativity. The formalism has also been used to provide a possible route towards a canonical quantization programme for the theory. In addition, he worked in numerical relativity (solving Einsteinsequations numerically on a computer) and with others set up the CCM (Cauchy-Characteristic Matching) approach, which is still used in this increasingly important field.James Vickers is an Emeritus Professor of Mathematics at the University of Southampton and has published extensively on general relativity. His early research was on the structure of weak singularities in relativity and more recently he has given proofs of both the Penrose and Hawking singularity theorems for low-regularity spacetimes. These show that the singularities predicted by these theorems must be accompanied by unbounded curvature. He has also worked on the asymptotic structure ofspace-time and used spinors to prove the positivity of the Bondi mass. Table of Contents 1: The Organisation of the BookA: Special Relativity2: The k-Calculus3: The Key Attributes of Special Relativity4: The Elements of Relativistic MechanicsB: The Formalism of Tensors5: Tensor Algebra6: Tensor Calculus7: Integration, Variation, and SymmetryC: General Relativity8: Special Relativity Revisited9: The Principles of General Relativity10: The Field equations of General Relativity11: General Relativity from a Variational Principle12: The Energy-Momentum Tensor13: The Structure of the Field Equations14: The 3+1 and 2+2 Formalisms15: The Schwarzschild sSlution16: Classical Experimental Tests of General RelativityD: Black Holes17: Non-Rotating Black Holes18: Maximal Extension and Conformal Compactification19: Charged Black Holes20: Rotating Black HolesE: Gravitational Waves21: Linearized Gravitational Waves and their Detection22: Exact Gravitational Waves23: Radiation from an Isolated SourceF: Cosmology24: Relativistic Cosmology25: The Classical Cosmological Models26: Modern CosmologyAnswers to ExercisesSelected BibliographyIndex Long Description There is little doubt that Einsteins 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 mathematicalintroduction 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 ofview. 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 fromcolliding black holes and neutron stars, and advancements in modern cosmology. Einsteins theory of relativity is undoubtedly one of the greatest achievements of the human mind. Yet, inthis 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 thefirst time while providing a thorough understanding for any student wanting to go on to study the subject in depth Feature Breaks down a complicated subject into simple logical steps for bite-sized, accessible learningSupports visual-based learning and contains over 250 diagramsText is reinforced by exercises that give the reader confidence and develop understanding Details ISBN0198862032 ISBN-10 0198862032 ISBN-13 9780198862031 Format Paperback Edition 2nd Imprint Oxford University Press Place of Publication Oxford Country of Publication United Kingdom Author Ray dInverno Publisher Oxford University Press Year 2022 Illustrations 240 Pages 624 NZ Release Date 2022-06-07 Publication Date 2022-06-07 UK Release Date 2022-06-07 Subtitle A Deeper Understanding Edition Description 2nd Revised edition Alternative 9780198862024 DEWEY 530.11 Audience Tertiary & Higher Education AU Release Date 2022-08-29 We've got this At The Nile, if you're looking for it, we've got it. 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