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General Relativity

  • Textbook
  • © 2005

Overview

Authors:
  1. I. B. Khriplovich

    1. Budker Institute of Nuclear Physics, Novosibirsk, Russia

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-ix
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  2. Introduction

    Pages 1-3

  3. Particle in Gravitational Field

    Pages 5-9

  4. Fundamentals of Riemann Geometry

    Pages 11-25

  5. Einstein Equations

    Pages 27-31

  6. Weak Field. Observable Effects

    Pages 33-39

  7. Variational Principle. Exact Solutions

    Pages 41-59

  8. Interaction of Spin with Gravitational Field

    Pages 61-75

  9. Gravitational Waves

    Pages 77-92

  10. General Relativity and Cosmology

    Pages 93-101

  11. Are Black Holes Really Black?

    Pages 103-114

  12. Back Matter

    Pages 115-116
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About this book

The book is based on the course on general relativity given regularly at the Physics Department of Novosibirsk University. The course, lasting for one semester, consists of 32 hours of lectures and 32 hours of tutorials, plus ho- work of 10 – 12 problems. The exam is passed by 30 – 35 students. The results of the homework and exam give good reasons to believe that at least 20 – 25 of these students really digest the subject. The course requires of students the knowledge of analytical mechanics and classical electrodynamics, including special relativity. Only chapters 7 and 10 of the book are in this respect exceptions: the acquaintance with the notion of spin is useful for studying chapter 7, the fundamentals of thermodynamics and quantum mechanics are necessary for the last chapter. But these parts of thebookcanbeskippedwithoutanylossforunderstandingallotherchapters. The book (as well as the course itself) is in?uenced essentially by the monographbyL.D.LandauandE.M.Lifshitz,TheClassicalTheoryofFields, (Butterworth – Heinemann, 1975). However, I strived to make the exposition as close as possible to a common university course of physics, to make it accessible not only for theorists.

Reviews

"The book General Relativity by Iosif Khriplovich presents a concise course on theory of gravity. In spite of its limited size of only 116 pages, this book covers the main theoretical notions and experimental phenomena. The author does it in a quite instructive way emphasizing underlying physics. Particularly impressive in this respect are chapters on observable effects, spin interaction, gravitational waves and black holes. The book’s comparative analysis of radiation of gravitational waves by ultrarelativistic particles versus synchrotron radiation serves as a best example.

I enthusiastically recommend the book, both to students who have just started studying the field as well as to established researchers."

Arkady Vainshtein, Gloria Becker Lubkin Chair in Theoretical Physics, William I. Fine Theoretical Physics Institute, University of Minnesota

Authors and Affiliations

  • Budker Institute of Nuclear Physics, Novosibirsk, Russia

    I. B. Khriplovich

About the author

I.B. Khriplovich is Chief Researcher, Budker Institute of Nuclear Physics, Novosibirsk, and Chair of Theoretical Physics at Novosibirsk University. Dr. Khriplovich is a Corresponding Member of the Russian Academy of Sciences. He has been awarded the Dirac Medal ``For the advancement of theoretical physics'' by University of New South Wales, Sydney, Australia, and the Pomeranchuk Prize ``For outstanding contribution to the understanding the properties of the standard model, especially for illuminating work on weak and strong interactions of quarks'' by the Institute of Theoretical and Experimental Physics, Moscow, Russia.

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