Title Black holes in higher dimensions / edited by Gary T. Horowitz

Published New York : Cambridge University Press, 2012 ©2012

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Description 1 online resource Contents Cover; BLACK HOLES IN HIGHER DIMENSIONS; Title; Copyright; Contents; Contributors; Preface; Part I: Introduction; 1: Black holes in four dimensions; 1.1 Schwarzschild solution; 1.2 Reissner -- Nordstrom solution; 1.3 Kerr solution; 1.4 Black holes with nonzero cosmological constant; 1.5 General properties of four-dimensional black holes; 1.5.1 Uniqueness; 1.5.2 Stability; 1.5.3 Topology of the event horizon; 1.5.4 Cosmic censorship; 1.6 Black hole thermodynamics; References; Part II: Kaluza -- Klein theory; 2: The Gregory -- Laflamme instability; 2.1 Overview; 2.2 Black holes in higher dimensions 2.3 A thermodynamic argument for instability2.4 Perturbing the black string; 2.4.1 Perturbation theory; 2.4.2 Finding the perturbation; 2.4.3 Regularity conditions; 2.4.4 The instability; 2.4.5 More general instabilities; 2.5 Consequences of the instability; References; 3: Final state of Gregory -- Laflamme instability; 3.1 Overview; 3.2 Background; 3.3 Numerical approach; 3.3.1 Initial data; 3.3.2 Evolution; 3.3.3 Apparent horizons; 3.3.4 Evolution code; 3.4 Evolution of an unstable black string; 3.4.1 Apparent horizon dynamics; 3.4.2 Interpretation of the horizon dynamics 3.5 Speculations and open questions3.5.1 Mode behavior; 3.5.2 Dynamics beyond the classical regime; 3.5.3 Future work; Acknowledgements; References; Extrinsic curvature; 4: General black holes in Kaluza -- Klein theory; 4.1 Energy in Kaluza -- Klein theory; 4.2 Homogeneous black hole solutions; 4.2.1 Nonrotating charged black holes; 4.2.2 Rotating Kaluza -- Klein black holes; 4.3 Inhomogeneous black hole solutions; 4.3.1 Localized black holes; 4.3.2 Inhomogeneous black strings; 4.3.3 The space of static black hole solutions; 4.3.4 Stability of the static black hole solutions; References Part III: Asymptotically flat solutions5: Myers -- Perry black holes; 5.1 Static black holes; 5.2 Spinning black holes; 5.2.1 Myers -- Perry black hole metrics; 5.2.2 Singularities; 5.2.3 Horizons; 5.2.4 Ergosurfaces and causality violation; 5.2.5 Maximal analytic extension; 5.2.6 Hidden symmetries and geodesics; 5.2.7 Black hole thermodynamics; 5.2.8 Instabilities; Acknowledgements; 5.3 Appendix A: Mass and angular momentum; 5.4 Appendix B: A case study of d = 5; References; 6: Black rings; 6.1 Introduction; 6.2 Ring coordinates; 6.3 Singly spinning black ring solution; 6.3.1 Spacetime geometry 6.3.2 Physical magnitudes and nonuniqueness6.4 Black ring with two angular momenta; 6.5 Multiple black hole solutions; 6.5.1 Black Saturns and multi-rings; 6.5.2 Phase diagram; 6.5.3 Bi-rings; 6.6 Stability; References; Part IV: General properties; Constraints on the topology of higher-dimensional black holes; 7.1 Introduction; 7.2 Hawking's theorem on black hole topology; 7.3 Marginally outer-trapped surfaces; 7.4 A generalization of Hawking's theorem and some topological restrictions; 7.5 The proof of Theorem 7.4.1; 7.6 The borderline case; 7.7 Effect of the cosmological constant Summary "Black holes are one of the most remarkable predictions of Einstein's general relativity. Now widely accepted by the scientific community, most work has focussed on black holes in our familiar four spacetime dimensions. But in recent years, ideas in brane-world cosmology, string theory, and gauge/gravity duality have all motivated a study 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: RobMyers describes theMyers-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. There are two additional chapters on this duality describing how black holes can be used to describe relativistic fluids and aspects of condensed matter physics"-- Provided by publisher Bibliography Includes bibliographical references and index Notes Print version record Subject Black holes (Astronomy) -- Mathematical models Hyperspace. SCIENCE -- Cosmology. SCIENCE -- Astronomy. Hyperspace Form Electronic book Author Horowitz, Gary T., 1955- editor. ISBN 9781139380041 1139380044 9781139004176 1139004174 128064754X 9781280647543

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