AN INTRODUCTION TO MATHEMATICAL COSMOLOGY Second edition

نویسنده

  • J. N. ISLAM
چکیده

A catalogue record for this book is available from the British Library Library of Congress Cataloguing in Publication data Islam, Jamal N. An introduction to mathematical cosmology/J. N. Islam.–2nd ed. p. cm. Includes bibliographical references and index. ISBN 0 521 49650 0 hardback ISBN 0 521 49973 9 paperback Contents Preface to the first edition page ix Preface to the second edition xi 1 Some basic concepts and an overview of cosmology 1 2 Introduction to general relativity 12 2.1 Summary of general relativity 12 2.2 Some special topics in general relativity 18 2.2.1 Killing vectors 18 2.2.2 Tensor densities 21 2.2.3 Gauss and Stokes theorems 24 2.2.4 The action principle for gravitation 28 2.2.5 Some further topics 32 3 The Robertson–Walker metric 37 3.1 A simple derivation of the Robertson–Walker metric 37 3.2 Some geometric properties of the Robertson– Walker metric 42 3.3 Some kinematic properties of the Robertson– Walker metric 45 3.4 The Einstein equations for the Robertson–Walker metric 51 3.5 Rigorous derivation of the Robertson–Walker metric 53 4 The Friedmann models 60 4.

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تاریخ انتشار 2001