Geometry of generic isolated horizons

Classical and Quantum Gravity

Volumn 19, Issue 6, 2002, Pages 1195-1225

  Ashtekar, Abhay ^a,d   Beetle, Christopher ^a,b   Lewandowski, Jerzy ^c,d  

^a Ctr Gravitational Phys and Geom   (United States)

^b UNIVERSITY OF UTAH   (United States)

^c UNIVERSITY OF WARSAW   (Poland)

^d ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036278578     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/19/6/311     Document Type: Article

References (43)

1. 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 3564-67 (Ashtekar A, Beetle C, Dreyer O, Fairhurst S, Krishnan B, Lewandowski J and Wiśniewski J 2000 Preprint gr-qc/0006006)
2. 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 3564-67 (Ashtekar A, Beetle C, Dreyer O, Fairhurst S, Krishnan B, Lewandowski J and Wiśniewski J 2000 Preprint gr-qc/0006006)
3. Ashtekar A and Krishnan B 2001 CGPG preprint Dreyer O, Krishnan B, Schnetter E and Shoemaker D 2001 CGPG preprint
4. Ashtekar A and Krishnan B 2001 CGPG preprint Dreyer O, Krishnan B, Schnetter E and Shoemaker D 2001 CGPG preprint
5. Pejerski D W and Newman E T 1971 Trapped surfaces and the development of singularities J. Math. Phys. 9 1929-37
6. Háj́iček P 1975 Stationary electrovacuum spacetimes with bifurcate horizons J. Math. Phys. 16 518-22
7. Damour T 1979 Quelque Propriétés mécaniques, électromagnétiques, thermodynamiques et quantiques des trous noirs Thèse de doctrorat d'état Université Pierre et Marie Curie
8. Ashtekar A, Beetle C and Fairhurst S 1999 Isolated horizons: a generalization of black-hole mechanics Class. Quantum Grav. 16 L1-L7 (Ashtekar A, Beetle C and Fairhurst S 1998 Preprint gr-qc/9812065) Ashtekar A, Beetle C and Fairhurst S 2000 Mechanics of isolated horizons Class. Quantum Grav. 17 253-98 (Ashtekar A, Beetle C and Fairhurst S 1999 Preprint gr-qc/9907068)
9. Ashtekar A, Beetle C and Fairhurst S 1999 Isolated horizons: a generalization of black-hole mechanics Class. Quantum Grav. 16 L1-L7 (Ashtekar A, Beetle C and Fairhurst S 1998 Preprint gr-qc/9812065) Ashtekar A, Beetle C and Fairhurst S 2000 Mechanics of isolated horizons Class. Quantum Grav. 17 253-98 (Ashtekar A, Beetle C and Fairhurst S 1999 Preprint gr-qc/9907068)
10. Ashtekar A, Beetle C and Fairhurst S 1999 Isolated horizons: a generalization of black-hole mechanics Class. Quantum Grav. 16 L1-L7 (Ashtekar A, Beetle C and Fairhurst S 1998 Preprint gr-qc/9812065) Ashtekar A, Beetle C and Fairhurst S 2000 Mechanics of isolated horizons Class. Quantum Grav. 17 253-98 (Ashtekar A, Beetle C and Fairhurst S 1999 Preprint gr-qc/9907068)
11. Ashtekar A, Beetle C and Fairhurst S 1999 Isolated horizons: a generalization of black-hole mechanics Class. Quantum Grav. 16 L1-L7 (Ashtekar A, Beetle C and Fairhurst S 1998 Preprint gr-qc/9812065) Ashtekar A, Beetle C and Fairhurst S 2000 Mechanics of isolated horizons Class. Quantum Grav. 17 253-98 (Ashtekar A, Beetle C and Fairhurst S 1999 Preprint gr-qc/9907068)
12. Ashtekar A, Fairhurst S and Krishnan B 2000 Isolated horizons: Hamiltonian evolution and the first law Phys. Rev. D 62 104 025 (Ashtekar A, Fairhurst S and Krishnan B 2000 Preprint gr-qc/0005083)
13. Ashtekar A, Fairhurst S and Krishnan B 2000 Isolated horizons: Hamiltonian evolution and the first law Phys. Rev. D 62 104 025 (Ashtekar A, Fairhurst S and Krishnan B 2000 Preprint gr-qc/0005083)
14. Ashtekar A, Beetle C and Lewandowski J 2001 Mechanics of rotating isolated horizons Phys. Rev. D 64 044016 (Ashtekar A, Beetle C and Lewandowski J 2001 Preprint gr-qc/0103026)
15. Ashtekar A, Beetle C and Lewandowski J 2001 Mechanics of rotating isolated horizons Phys. Rev. D 64 044016 (Ashtekar A, Beetle C and Lewandowski J 2001 Preprint gr-qc/0103026)
16. Ashtekar A, Beetle C and Lewandowski J Space-time geometry near isolated horizons CGPG preprint
17. Corichi A and Sudarsky D 2000 Mass of colored black holes Phys. Rev. D 61 101 501 (Corichi A and Sudarsky D 1999 Preprint gr-qc/9912032) Corichi A, Nucamendi U and Sudarsky D 2000 Einstein-Yang-Mills isolated horizons: phase space, mechanics, hair and conjectures Phys. Rev. D 62 044 046 (Corichi A, Nucamendi U and Sudarsky D 2000 Preprint gr-qc/0002078)
18. Corichi A and Sudarsky D 2000 Mass of colored black holes Phys. Rev. D 61 101 501 (Corichi A and Sudarsky D 1999 Preprint gr-qc/9912032) Corichi A, Nucamendi U and Sudarsky D 2000 Einstein-Yang-Mills isolated horizons: phase space, mechanics, hair and conjectures Phys. Rev. D 62 044 046 (Corichi A, Nucamendi U and Sudarsky D 2000 Preprint gr-qc/0002078)
19. Corichi A and Sudarsky D 2000 Mass of colored black holes Phys. Rev. D 61 101 501 (Corichi A and Sudarsky D 1999 Preprint gr-qc/9912032) Corichi A, Nucamendi U and Sudarsky D 2000 Einstein-Yang-Mills isolated horizons: phase space, mechanics, hair and conjectures Phys. Rev. D 62 044 046 (Corichi A, Nucamendi U and Sudarsky D 2000 Preprint gr-qc/0002078)
20. Corichi A and Sudarsky D 2000 Mass of colored black holes Phys. Rev. D 61 101 501 (Corichi A and Sudarsky D 1999 Preprint gr-qc/9912032) Corichi A, Nucamendi U and Sudarsky D 2000 Einstein-Yang-Mills isolated horizons: phase space, mechanics, hair and conjectures Phys. Rev. D 62 044 046 (Corichi A, Nucamendi U and Sudarsky D 2000 Preprint gr-qc/0002078)
21. Ashtekar A, Corichi A and Sudarsky D 2001 Hairy black holes, horizon mass and solitons Class. Quantum Grav. 18 919-40 (Ashtekar A, Corichi A and Sudarsky D 2001 Preprint gr-qc/0011081)
22. Ashtekar A, Corichi A and Sudarsky D 2001 Hairy black holes, horizon mass and solitons Class. Quantum Grav. 18 919-40 (Ashtekar A, Corichi A and Sudarsky D 2001 Preprint gr-qc/0011081)
23. Ashtekar A, Baez J, Corichi A and Krasnov K 1998 Quantum geometry and black hole entropy Phys. Rev. Lett. 80 904-7 (Ashtekar A, Baez J, Corichi A and Krasnov K 1997 Preprint gr-qc/9710007)
24. Ashtekar A, Baez J, Corichi A and Krasnov K 1998 Quantum geometry and black hole entropy Phys. Rev. Lett. 80 904-7 (Ashtekar A, Baez J, Corichi A and Krasnov K 1997 Preprint gr-qc/9710007)
25. Ashtekar A, Corichi A and Krasnov K 2000 Isolated horizons: the classical phase space Adv. Theor. Math. Phys. 3418-71 (Ashtekar A, Corichi A and Krasnov K 1999 Preprint gr-qc/9905089)
26. Ashtekar A, Corichi A and Krasnov K 2000 Isolated horizons: the classical phase space Adv. Theor. Math. Phys. 3418-71 (Ashtekar A, Corichi A and Krasnov K 1999 Preprint gr-qc/9905089)
27. Ashtekar A, Baez J and Krasnov K 2000 Quantum geometry of isolated horizons and black hole entropy Adv. Theor. Math. Phys. 4 1-95 (Ashtekar A, Baez J and Krasnov K 2000 Preprint gr-qc/0005126)
28. Ashtekar A, Baez J and Krasnov K 2000 Quantum geometry of isolated horizons and black hole entropy Adv. Theor. Math. Phys. 4 1-95 (Ashtekar A, Baez J and Krasnov K 2000 Preprint gr-qc/0005126)
29. Penrose R and Rindler W 1984 Spinors and Spacetime vol 1 (Cambridge: Cambridge University Press)
30. Newman E T and Penrose R 1962 An approach to gravitational radiation by a method of spin coefficients J. Math. Phys. 3 566-78
31. Jezierski J, Kijowski J and Czuchry E 2000 Geometry of null-like surfaces in general relativity and its application to dynamics of gravitating matter Rep. Math. Phys. 46 399-418
32. Newman E T and Penrose R 1966 Note on Bondi-Metzner-Sachs group J. Math. Phys. 7 863-70
33. York J W 1971 Gravitational degrees of freedom and the initial value problem Phys. Rev. Lett. 26 1656-8
34. Ashtekar A 1981 Radiative degrees of freedom of the gravitational field in exact general relativity J. Math. Phys. 22 2885-95 Ashtekar A 1987 Asymptotic Quantization (Naples: Bibliopolis)
35. Ashtekar A 1981 Radiative degrees of freedom of the gravitational field in exact general relativity J. Math. Phys. 22 2885-95 Ashtekar A 1987 Asymptotic Quantization (Naples: Bibliopolis)
36. Lewandowski J 2000 Spacetimes admitting isolated horizons Class. Quantum Grav. 17 L53-L59 (Lewandowski J 1999 Preprint gr-qc/9907058)
37. Lewandowski J 2000 Spacetimes admitting isolated horizons Class. Quantum Grav. 17 L53-L59 (Lewandowski J 1999 Preprint gr-qc/9907058)
38. Friedrich H 1981 On the regular and asymptotic characteristic initial value problem for Einstein's field equations Proc. R. Soc. A 375 169-84 Rendall A 1990 Reduction of the charateristic initial value problem to the Cauchy problem and its applications to Einstein's equations Proc. R. Soc. A 427 221-39
39. Friedrich H 1981 On the regular and asymptotic characteristic initial value problem for Einstein's field equations Proc. R. Soc. A 375 169-84 Rendall A 1990 Reduction of the charateristic initial value problem to the Cauchy problem and its applications to Einstein's equations Proc. R. Soc. A 427 221-39
40. Chrasciel P 1992 On the global structure of Robinson-Trautman space-times Proc. R. Soc. 436 299-316
41. Lewandowski J and Pawlowski T 2001 CGPG preprint
42. Brill D and Lindquist R W 1963 Interaction energy in geometrostatics Phys. Rev 131 471-6
43. Lewandowski J and Pawlowski T 2001 Geometric characterization of the Kerr isolated horizon Preprint gr-qc/0101008 (2002 Int. J. Mod. Phys. D at press)