Our systems are now restored following recent technical disruption, and we’re working hard to catch up on publishing. We apologise for the inconvenience caused. Find out more

Recommended product

Popular links

Popular links


The Large Scale Structure of Space-Time

The Large Scale Structure of Space-Time

The Large Scale Structure of Space-Time

50th Anniversary Edition
Stephen W. Hawking, University of Cambridge
George F. R. Ellis, University of Cape Town
February 2023
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Adobe eBook Reader
9781009253185
$34.99
USD
Adobe eBook Reader
GBP
Hardback

    First published in 1973, this influential work discusses Einstein's General Theory of Relativity to show how two of its predictions arise: first, that the ultimate fate of many massive stars is to undergo gravitational collapse to form 'black holes'; and second, that there was a singularity in the past at the beginning of the universe. Starting with a precise formulation of the theory, including the necessary differential geometry, the authors discuss the significance of space-time curvature and examine the properties of a number of exact solutions of Einstein's field equations. They develop the theory of the causal structure of a general space-time, and use it to prove a number of theorems establishing the inevitability of singularities under certain conditions. A Foreword contributed by Abhay Ashtekar and a new Preface from George Ellis help put the volume into context of the developments in the field over the past fifty years.

    • A seminal volume on General Relativity from Stephen Hawking and George Ellis, written early in their scientific careers: this was Hawking's first published book
    • One of the first explorations of singularities, places where space-time begins or ends, and the known laws of physics break down
    • Includes a specially commissioned Foreword written by Abhay Ashtekar and a new Preface by George Ellis

    Reviews & endorsements

    'The book is a masterpiece, written by sure hands.' Science

    'Certain to rank as an outstanding classic of the current advance of relativity theory.' Contemporary Physics

    'La parution de ce livre est un événement important …' La Recherche

    'This special 50th anniversary republication of this famous monograph is well welcome addtion to the community. This text helped lay the groundwork for gravitational research for the next 50 years; inspiring and educating generations of researchers. I recommend this text to anyone who is interested in learning the foundation of gravitational research.' Kymani Tieral Keden Armstrong-Williams, https://physicsbookreviewer.blogspot.com/

    See more reviews

    Product details

    February 2023
    Adobe eBook Reader
    9781009253185
    0 pages
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    Table of Contents

    • Foreword to the Anniversary Edition Abhay Ashtekar
    • Preface to the Anniversary Edition George F. R. Ellis
    • Preface
    • 1. The role of gravity
    • 2. Differential geometry
    • 3. General relativity
    • 4. The physical significance of curvature
    • 5. Exact solutions
    • 6. Causal structure
    • 7. The Cauchy problem in General Relativity
    • 8. Space-time singularities
    • 9. Gravitational collapse and black holes
    • 10. The initial singularity in the universe
    • Appendixes
    • References
    • Notation
    • Index.
    Resources for
    Type
    George Ellis talks at ISGRG 50th anniversary event
      Contributors
    • Abhay Ashtekar; George F. R. Ellis; Stephen W. Hawking

    • Authors
    • Stephen W. Hawking , University of Cambridge

      Stephen W. Hawking (1942–2018) was an English theoretical physicist, cosmologist and author who was director of research at the Centre for Theoretical Cosmology at the University of Cambridge. He was the Lucasian Professor of Mathematics at Cambridge from 1979 to 2009 and is the author of numerous books, including the international best-seller A Brief History of Time. (1989).

    • George F. R. Ellis , University of Cape Town

      George F. R. Ellis is the emeritus distinguished professor of complex systems in the Department of Mathematics and Applied Mathematics at the University of Cape Town, South Africa. He is considered one of the world's leading theorists in cosmology and, in recent years, he has been prolific in areas relating to the philosophy of science. He is author or co-author of more than a dozen books, including Relativistic Cosmology (with Roy Maartens and Malcolm MacCallum, 2012).