Symmetric non-expanding horizons

Classical and Quantum Gravity

Volumn 23, Issue 20, 2006, Pages 6031-6058

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

^a UNIVERSITY OF WARSAW   (Poland)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

^c PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33749070319     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/23/20/022     Document Type: Article

References (49)

1. Pejerski D W and Newman E T 1971 Trapped surface and the development of singularities J. Math. Phys. 9 1929-37
2. Hayward S A 1994 Phys. Rev. D 49 6467-74
3. Moncrief V and Isenberg J 1983 Symmetries of cosmological Cauchy horizons Commun. Math. Phys. 89 387-413
4. Ashtekar A, Beetle C and Fairhurst S 1999 Isolated horizons: a generalization of black hole mechanics Class. Quantum Grav. 16 L1-7
5. Ashtekar A, Beetle C and Fairhurst S 2000 Mechanics of isolated horizons Class. Quantum Grav. 17 253-98
6. Ashtekar A, Beetle C and Lewandowski J 2001 Mechanics of rotating isolated horizons Phys. Rev. D 64 044016
7. Ashtekar A, Beetle C and Lewandowski J 2002 Geometry of generic isolated horizon Class. Quantum Grav. 19 1195-225
8. 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
9. Ashtekar A, Dreyer O and Wiśniewski J 2002 Isolated horizons in 2 + 1 gravity Adv. Theor. Math. Phys. 6 507-55
10. Lewandowski J and Pawlowski T 2005 Quasi-local rotating black holes in higher dimension: geometry Class. Quantum Grav. 22 1573-98
11. Korzynski M, Lewandowski J and Pawlowski T 2005 Mechanics of multidimensional isolated horizons Class. Quantum Grav. 22 2001-16
12. Lewandowski J 2000 Spacetimes admitting isolated horizons Class. Quantum Grav. 17 L53-9
13. Chruściel P 1992 On the global structure of Robinson-Trautman spacetimes Proc. R. Soc. 436 299-316
14. Ashtekar A and Krishnan B 2004 Isolated and dynamical horizons and their applications Living Rev. Rel. 7 10
15. 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
16. Lewandowski J and Pawlowski T 2002 Geometric characterizations of the Kerr isolated horizon Int. J. Mod. Phys. D 11 739-46
17. Pawlowski T, Lewandowski J and Jezierski J 2004 Spacetimes foliated by Killing horizons Class. Quantum Grav. 21 1237-52
18. Lewandowski J and Pawlowski T 2003 Extremal isolated horizons: a local uniqueness theorem Class. Quantum Grav. 20 587-606
19. Chruściel P, Real H S and Tod P 2006 On non-existence of static vacuum black holes with degenerate components of the event horizon Class. Quantum Grav. 23 549-54
20. Kramer D, Stephani H, MacCallum M and Herlt E 2003 Exact Solutions of the Einsteins Field Equations 2nd edn (Cambridge: Cambridge University Press)
21. Booth I 2001 Metric-based Hamiltonians, null boundaries, and isolated horizons Class. Quantum Grav. 18 4239-64
22. Booth I and Fairhurst S 2005 Horizon energy and angular momentum from a Hamiltonian perspective Class. Quantum Grav. 22 4515-50
23. Booth I 2005 Black hole boundaries Can. J. Phys. 83 1073-99
24. Jezierski J, Kijowski J and Czuchry E 2002 Dynamics of a self gravitating light-like matter shell: a gauge-invariant Lagrangian and Hamiltonian description Phys. Rev. D 65 064036
25. Czuchry E, Jezierski J and Kijowski J 2003 Local approach to thermodynamics of black holes Proc. 7th Hungarian Relativity Workshop, Relativity Today ed I Racz (Budapest: Akadémiai Kiadó)
26. Jezierski J 2004 Geometry of null hypersurfaces Relativity Today: Proc. 7th Hungarian Relativity Workshop ed I Racz (Budapest: Akadémiai Kiadó)
27. Czuchry E, Jezierski J and Kijowski J 2004 Dynamics of gravitational field within a wave front and thermodynamics of black holes Phys. Rev. D 70 124010
28. Hayward S A 1994 Spin-coefficient form of the new laws of black-hole dynamics Class. Quantum Grav. 11 3025-36
29. Hayward S A 1998 Unified first law of black-hole dynamics and relativistic thermodynamics Class. Quantum Grav. 15 3147-62
30. Hayward S A, Mukohyama S and Ashworth M C 1999 Dynamic black-hole entropy Phys. Lett. A 256 347-50
31. Ashworth M C and Hayward S A Boundary terms and Noether current of spherical black holes Phys. Rev. D 60 084004
32. Mukohyama S and Hayward S A 2000 Quasi-local first law of black-hole dynamics Class. Quantum Grav. 17 2153
33. Hayward S A 2004 Energy conservation for dynamical black holes Phys. Rev. Lett. 93 251101
34. Hayward S A 2004 Energy and entropy conservation for dynamical black holes Phys. Rev. D 70 104027
35. Hayward S A 2006 Gravitational radiation from dynamical black holes Class. Quantum Grav. 23 L15
36. Ashtekar A and Krishnan B 2002 Dynamical horizons: energy, angular momentum, fluxes and balance laws Phys. Rev. Lett. 89 261101
37. Ashtekar A and Krishnan B 2003 Dynamical horizons and their properties Phys. Rev. D 68 104030
38. Booth I and Fairhurst S 2004 The first law for slowly evolving horizons Phys. Rev. Lett. 92 011102
39. Nurowski P and Robinson D C 2000 Intrinsic geometry of a null hypersurface Class. Quantum Grav. 17 4065-84
40. Emparan R and Reall S 2002 A rotating black ring in five dimensions Phys. Rev. Lett. 88 101101
41. Czuchry E 2002 PhD Thesis University of Warsaw
42. Hawking S W and Ellis G F R 1973 The Large Scale Structure of Space-Time (Cambridge: Cambridge University Press)
43. Friedrich H 1981 On the regular and the asymptotic characteristic initial value problem for Einstein's vacuum field equations Proc. R. A 375 169-84
44. Friedrich H 1981 The asymptotic characteristic initial value problem for Einstein's vacuum field equations as an initial value problem for a first-order quasilinear symmetric hyperbolic system Proc. R. Soc. A 378 401-21
45. Rendall A D 1990 Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations Proc. R. Soc. A 427 221-39
46. Newman E T and Penrose R 1962 An approach to gravitational radiation by a method of spin coefficients J. Math. Phys. 3 566-78
47. Myers R C and Perry M J 1986 Black holes in higher-dimensional spacetimes Ann. Phys. 172 304
48. Morisawa Y and Daisuke I 2004 A boundary value problem for the five-dimensional stationary rotating black holes Phys. Rev. D 69 124005
49. Rogatko M 2004 Uniqueness theorem for stationary black hole solutions of σ-models in five dimensions Phys. Rev. D 70 084025