Introducing Einstein’s Relativity: A Deeper Understanding 2nd Edition – Ebook Instant Download/Delivery ISBN(s): 9780198862031,9780192606570,0198862032,0192606573

Product details:

• ISBN-10: 0192606573
• ISBN-13: 9780192606570
• Author: Ray d’Inverno, James Vickers

There 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

Table contents:

1 The organization of the book

2 The k-calculus

3 The key attributes of special relativity

4 The elements of relativistic mechanics

5 Tensor algebra

6 Tensor calculus

7 Integration, variation, and symmetry

8 Special relativity revisited

9 The principles of general relativity

10 The field equations of general relativity

11 General relativity from a variational principle

12 The energy-momentum tensor

13 The structure of the field equations

14 The 3+1 and 2+2 formalisms

15 The Schwarzschild solution

16 Classical experimental tests of general relativity

17 Non-rotating black holes

18 Maximal extension and conformal compactification

19 Charged black holes

20 Rotating black holes

21 Linearized gravitational waves and their detection

22 Exact gravitational waves

23 Radiation from an isolated source

24 Relativistic cosmology

25 The classical cosmological models

26 Modern cosmology

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