Quasi-local rotating black holes in higher dimension: Geometry

Classical and Quantum Gravity

Volumn 22, Issue 9, 2005, Pages 1573-1598

  Lewandowski, Jerzy ^a,b,c   Pawlowski, Tomasz ^a,b,c  

^a UNIVERSITY OF WARSAW   (Poland)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

^c ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21244447935     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/22/9/007     Document Type: Article

References (27)

1. Pejerski D W and Newman E T 1971 Trapped surface and the development of singularities J. Math. Phys. 9 1929-37
2. Ashtekar A, Beetle C and Fairhurst S 1999 Isolated horizons: a generalization of black hole mechanics Class. Quantum Grav. 16 L1-L7
3. Ashtekar A, Beetle C, Dreyer O, Fairhurst S, Krishnan B, Lewandowski J and Wiśniewski J 2000 Generic isolated horizons and their applications Phys. Rev. Lett. 85 3564-7
4. Ashtekar A, Beetle C and Lewandowski J 2002 Geometry of generic isolated horizon Class. Quantum Grav. 19 1195-225
5. Ashtekar A, Beetle C and Lewandowski J 2001 Mechanics of rotating isolated horizons Phys. Rev. D 64 044016
6. Ashtekar A and Krishnan B 2004 Isolated and dynamical horizons and their applications Preprint gr-qc/0407042
7. Ashtekar A, Baez J, Corichi A and Krasnov K 1998 Quantum geometry and black hole entropy Phys. Rev. Lett. 80 904-7
8. Lewandowski J and Pawlowski T 2002 Geometric characterizations of the Kerr isolated horizon Int. J. Mod. Phys. D 11739-46
9. Pawlowski T, Lewandowski J and Jezierski J 2004 Spacetimes foliated by Killing horizons Class. Quantum Grav. 21 1237-52
10. Jezierski J 2004 Geometry of null hypersurfaces Relativity Today, Proc. 7th Hungarian Relativity Workshop ed I Racz (Budapest: Akadémiai Kiadó)
11. Lewandowski J 2000 Space-times admitting isolated horizons Class. Quantum Grav. 17 L53-L59
12. Ashtekar A, Engle J, Pawlowski T and Van Den Broeck C 2004 Multipole moments of isolated horizons Class. Quantum Grav. 21 2549-70
13. Wald R 1993 Black hole entropy is Noether charge Phys. Rev. D 48 3427-31 (Preprint gr-qc/9307038)
14. Czuchry E, Jezierski J and Kijowski J 2004 Local approach to thermodynamics of black holes Proc. 7th Hungarian Relativity Workshop, Relativity Today ed I Racz (Budapest: Akadémiai Kiadó)
15. Myers R C and Perry M J 1986 Black holes in higher dimensional space-times Ann. Phys. 172 304
16. Emparan R and Reall S 2002 A rotating black ring in five dimensions Phys. Rev. Lett. 88 101101
17. Rogatko M 2003 Uniqueness theorem of static degenerate and non-degenerate charged black holes in higher dimensions Phys. Rev. D 67 084025
18. Gibbons G W, Lu H, Page D N and Pope C N 2004 Rotating black holes in higher dimensions with a cosmological constant Phys. Rev. Lett. 93 171102
19. Morisawa Y and Daisuke I 2004 A boundary value problem for the five-dimensional stationary rotating black holes Preprint gr-qc/0401100
20. Korzyński M, Lewandowski J and Pawlowski T 2004 Mechanics of multidimensional isolated horizons, in preparation
21. Ashtekar A, Dreyer O and Wisniewski J 2002 Isolated horizons in 2+1 gravity Adv. Theor. Math. Phys. 6 507-55
22. Wald R 1984 General Relativity (Chicago, IL: University of Chicago Press)
23. Coley A, Milson R, Pravda V and Pravdova A 2004 Classification of the Weyl tensor in higher dimensions Class. Quantum Grav. 21 L35-L42
24. Kramer D, Stephani H, MacCallum M and Herlt E 2003 Exact Solutions of the Einsteins Field Equations 2nd edn (Cambridge: Cambridge University Press)
25. Lewandowski J and Pawlowski T 2003 Extremal isolated horizons: a local uniqueness theorem Class. Quantum Grav. 20 587-606
26. Nakahara M 2003 Geometry, Topology and Physics 2nd edn (Bristol: Institute of Physics Publishing)
27. Llosa J and Soler D 2004 On the degrees of freedom of a semi-Riemannian metric Preprint gr-qc/0406111