Black Holes in Higher Dimensions

by Horowitz, gary T.

• ISBN13: 9781107013452
• ISBN10: 1107013453
• Format: Hardcover
• Copyright: 2012-05-28
• Publisher: Cambridge Univ Pr

Summary

Black holes are one of the most remarkable predictions of Einstein's general relativity. In recent years, ideas in brane-world cosmology, string theory and gauge/gravity duality have motivated studies of black holes in more than four dimensions, with surprising results. In higher dimensions, black holes exist with exotic shapes and unusual dynamics. Edited by leading expert Gary Horowitz, this exciting book is the first devoted to this new field. The major discoveries are explained by the people who made them: Rob Myers describes the Myers-Perry solutions that represent rotating black holes in higher dimensions; Ruth Gregory describes the Gregory-Laflamme instability of black strings; and Juan Maldacena introduces gauge/gravity duality, the remarkable correspondence that relates a gravitational theory to nongravitational physics. Accessible to anyone with a standard course in general relativity, this is an important resource for graduate students and researchers in general relativity, string theory and high energy physics.

Table of Contents

List of contributors

Preface

Introduction

Black holes in four dimensions

Five Dimensional Kaluza-Klein Theory

The Gregory-Laflamme instability

Final state of Gregory-Laflamme instability

General black holes in Kaluza-Klein theory

Higher Dimensional Solutions

Myers-Perry black holes

Black rings

General Properties

Constraints on the topology of higher dimensional black holes

Blackfolds

Algebraically special solutions in higher dimensions

Numerical construction of static and stationary black holes

Advanced Topics

Black holes and branes in supergravity

The gauge/gravity duality

The fluid/gravity correspondence

Horizons, holography and condensed matter

Index

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