Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself.

These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large.

Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions.

These conditions are shown to be satisfied in the vicinity of stars of more than twice the solar mass near the endpoint of their nuclear evolution, and in a time-reversed sense for the universe as a whole. In the first case, the singularity in our past. A discussion of the Cauchy problem for General Relativity is also included in the book.

Roger Penrose's views on the large-scale physics of the Universe, the small-scale world of quantum physics and the physics of the mind are controversial and widely discussed. This book is a fascinating and accessible summary of Roger Penrose's current thinking on those areas of physics in which he feels there are major unresolved problems. It is also a stimulating introduction to the radically new concepts that he believes will be fruitful in understanding the workings of the brain and the nature of the human mind.

To commemorate the 300th anniversary of the publication of Isaac Newton's Philosophiae Naturalis Principia Mathematica, Stephen Hawking and Werner Israel have assembled a series of unique review papers by many of the world's foremost researchers in cosmology, relativity and particle physics. The resulting volume reflects the significant and exciting advances that have been made in these fields since the editor's acclaimed volume published in 1979: General Relativity: An Einstein Centenary Survey. Newton's immense contribution to the physical sciences is assessed, and its relevance to today's physics made clear. The international contributors then chart the major developments in the study of gravitation, from Newtonian gravity to black hole physics. In the fields of galaxy formation, inflationary and quantum cosmology, and superstring unification, the book provides important overviews written by workers involved in many of the advances described. By shaping such a wide-ranging and scholarly series of articles into a cohesive whole, the editors have created a fitting and lasting memorial to the man who continues to inspire scientists the world over. This book is an essential reference source of the latest advances in gravitational physics and relativistic cosmology.