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Black holes in higher dimensions /
"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, an...
| Clasificación: | Libro Electrónico |
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| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Cambridge University Press,
2012.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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