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  • Textbook
  • © 2004

General Relativity

With Applications to Astrophysics

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  • This book provides all the necessary mathematics and also the foundations of Einstein's theory; this makes it quite different from other monographs on Relativistic Astrophysics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Theoretical and Mathematical Physics (TMP)

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Table of contents (15 chapters)

  1. Front Matter

    Pages I-XII
  2. The General Theory of Relativity

    1. Front Matter

      Pages 1-1
    2. Introduction

      • Norbert Straumann
      Pages 3-7
    3. Physics in External Gravitational Fields

      • Norbert Straumann
      Pages 9-63
    4. Einstein’s Field Equations

      • Norbert Straumann
      Pages 65-143
  3. Applications of General Relativity

    1. Front Matter

      Pages 145-145
    2. Weak Gravitational Fields

      • Norbert Straumann
      Pages 219-295
    3. The Post-Newtonian Approximation

      • Norbert Straumann
      Pages 297-361
    4. White Dwarfs and Neutron Stars

      • Norbert Straumann
      Pages 363-417
    5. Black Holes

      • Norbert Straumann
      Pages 419-506
    6. The Positive Mass Theorem

      • Norbert Straumann
      Pages 507-524
  4. Differential Geometry

    1. Front Matter

      Pages 525-527
    2. Differentiable Manifolds

      • Norbert Straumann
      Pages 529-534
    3. Tangent Vectors, Vector and Tensor Fields

      • Norbert Straumann
      Pages 535-546
    4. The Lie Derivative

      • Norbert Straumann
      Pages 547-553
    5. Differential Forms

      • Norbert Straumann
      Pages 555-576
    6. Affine Connections

      • Norbert Straumann
      Pages 577-607
    7. Some Details

      • Norbert Straumann
      Pages 609-620
  5. Back Matter

    Pages 621-676

About this book

Physics and mathematics students are as eager as ever to become acquainted withthefoundationsofgeneralrelativityandsomeofitsmajorapplicationsin astrophysics and cosmology. I hope that this textbook gives a comprehensive and timelyintroduction toboth aspectsof thisfascinating?eld,and willturn out to be useful for undergraduate and graduate students. This book is a complete revision and extension of my previous volume ‘GeneralRelativityandRelativisticAstrophysics’thatappearedabouttwenty years ago in the Springer Series‘Texts and Monographs in Physics’; however, it cannot be regarded just as a new edition. In Part I the foundations of general relativity are thoroughly developed. Some of the more advanced topics, such as the section on the initial value problem, can be skipped in a ?rst reading. Part II is devoted to tests of general relativity and many of its app- cations. Binary pulsars – our best laboratories for general relativity – are studied in considerable detail. I have included an introduction to gravi- tional lensing theory, to the extend that the current literature on the subject should become accessible. Much space is devoted to the study of compact objects, especially to black holes. This includes a detailed derivation of the Kerr solution, Israel’s proof of his uniqueness theorem, and a derivation of the basic laws of black hole physics. Part II ends with Witten’s proof of the positive energy theorem. All the required di?erential geometric tools are developed in Part III.

Reviews

From the reviews:

"In this book Norbert Straumann presents a pedagogically precise and highly informative account of both the physical and advanced mathematical concepts that a professional working in this field requires. The essential differential geometry background is placed in an extensive part … . the treatment is both physically rigorous and comprehensive. This book is an important acquisition for anyone working in this area." (Geoffrey Bicknell, Australian Physics, Vol. 42 (4), September/October, 2005)

"This text provides a comprehensive and timely introduction to general relativity. … The book addresses undergraduate and graduate students in physics, astrophysics and mathematics. It is very well structured and should become a standard text for a modern treatment of gravitational physics. The clear presentation of differential geometry makes it also useful for strong theory and other fields of physics, classical as well as quantum." (ETDE Energy Database Energiedatenbank, November, 2004)

"From the earliest sections, Straumann makes absolutely no pretence that this is a beginner’s guide to general relativity … . There are points of interest for those disinclined (or unable) to follow the maths in detail. … this book is primarily aimed at those who want to get very, very intimate with the mathematics of general relativity in an astrophysical …. context and who are endowed with a considerable background in all three subjects. … this may be the ultimate specialist textbook." (Roger Feasey, Journal of the Auckland Astronomical Society, 2005)

Authors and Affiliations

  • Institut für Theoretische Physik, Universität Zurich, Zurich, Switzerland

    Norbert Straumann

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access