Multipole moments of isolated horizons

Classical and Quantum Gravity

Volumn 21, Issue 11, 2004, Pages 2549-2570

  Ashtekar, Abhay ^a,c,d   Engle, Jonathan ^a   Pawlowski, Tomasz ^a,b,d   Van Den Broeck, Chris ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF WARSAW   (Poland)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d Erwin Schrodinger International Institute for Mathematical Physics   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2942752217     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/21/11/003     Document Type: Article

References (34)

1. Einstein A 1916 Näherungsweise Integration der Feldgleichungen der Gravitation Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften (Berlin) pp 688-96
2. Sachs R K and Bergmann P G 1958 Structure of particles in linearized gravitational theory Phys. Rev. 112 674-80
3. Geroch R 1970 Multipole moments II. Curved space J. Math. Phys. 11 2580-8 Hansen R 1974 Multipole moments in stationary spacetimes J. Math. Phys. 15 46-52 Beig R and Simon W 1983 The multipole structure of stationary spacetimes J. Math. Phys. 24 1163-71
4. Geroch R 1970 Multipole moments II. Curved space J. Math. Phys. 11 2580-8 Hansen R 1974 Multipole moments in stationary spacetimes J. Math. Phys. 15 46-52 Beig R and Simon W 1983 The multipole structure of stationary spacetimes J. Math. Phys. 24 1163-71
5. Geroch R 1970 Multipole moments II. Curved space J. Math. Phys. 11 2580-8 Hansen R 1974 Multipole moments in stationary spacetimes J. Math. Phys. 15 46-52 Beig R and Simon W 1983 The multipole structure of stationary spacetimes J. Math. Phys. 24 1163-71
6. Beig R and Simon W 1980 Proof of a multipole conjecture due to Geroch Commun. Math. Phys 78 75-82 Beig R 1981 The multipole expansion in general relativity Acta Phys. Austriaca 53 249-70 Beig R and Simon W 1981 On the multipole expansion of stationary spacetimes Proc. R. Soc. Land. A 376 333-41
7. Beig R and Simon W 1980 Proof of a multipole conjecture due to Geroch Commun. Math. Phys 78 75-82 Beig R 1981 The multipole expansion in general relativity Acta Phys. Austriaca 53 249-70 Beig R and Simon W 1981 On the multipole expansion of stationary spacetimes Proc. R. Soc. Land. A 376 333-41
8. Beig R and Simon W 1980 Proof of a multipole conjecture due to Geroch Commun. Math. Phys 78 75-82 Beig R 1981 The multipole expansion in general relativity Acta Phys. Austriaca 53 249-70 Beig R and Simon W 1981 On the multipole expansion of stationary spacetimes Proc. R. Soc. Land. A 376 333-41
9. Dixon G 1979 Extended bodies in general relativity: their description and motion Isolated Gravitating Systems in General Relativity ed J Ehlers (Amsterdam: North Holland)
10. Anandan J, Dadhich N and Singh P 2003 Action principle formulation for the motion of extended bodies in general relativity Phys. Rev. D 68 124014 Ohashi A 2003 Multipole particle in relativity Phys. Rev. D 68 044009
11. Anandan J, Dadhich N and Singh P 2003 Action principle formulation for the motion of extended bodies in general relativity Phys. Rev. D 68 124014 Ohashi A 2003 Multipole particle in relativity Phys. Rev. D 68 044009
12. 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
13. 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 2000 Mechanics of isolated horizons Class. Quantum Grav. 17 253-98
14. 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 2000 Mechanics of isolated horizons Class. Quantum Grav. 17 253-98
15. Ashtekar A, Fairhurst S and Krishnan B 2000 Isolated horizons: Hamiltonian evolution and the first law Phys. Rev. D 62 104025
16. Ashtekar A, Beetle C and Lewandowski J 2002 Geometry of generic isolated horizons Class. Quantum Grav. 19 1195-225
17. Ashtekar A, Beetle C and Lewandowski J 2001 Mechanics of rotating isolated horizons Phys. Rev. D 64 044016
18. Friedrich H 1981 On the regular and asymptotic characteristic initial value problem for Einstein's field equations Proc. R. Soc. 375 169-84 Rendall A 1990 Reduction of the characteristic initial value problem to the Cauchy problem and its applications to Einstein's equations Proc. R. Soc. 427 221-39 Lewandowski J 2000 Spacetimes admitting isolated horizons Class. Quantum Grav. 17 L53-9
19. Friedrich H 1981 On the regular and asymptotic characteristic initial value problem for Einstein's field equations Proc. R. Soc. 375 169-84 Rendall A 1990 Reduction of the characteristic initial value problem to the Cauchy problem and its applications to Einstein's equations Proc. R. Soc. 427 221-39 Lewandowski J 2000 Spacetimes admitting isolated horizons Class. Quantum Grav. 17 L53-9
20. Friedrich H 1981 On the regular and asymptotic characteristic initial value problem for Einstein's field equations Proc. R. Soc. 375 169-84 Rendall A 1990 Reduction of the characteristic initial value problem to the Cauchy problem and its applications to Einstein's equations Proc. R. Soc. 427 221-39 Lewandowski J 2000 Spacetimes admitting isolated horizons Class. Quantum Grav. 17 L53-9
21. Ashtekar A, Beetle C and Lewandowski J 2004 Spacetime geometry near isolated horizons in preparation Pawlowski T 2004 PhD Dissertation University of Warsaw, in preparation
22. Ashtekar A, Beetle C and Lewandowski J 2004 Spacetime geometry near isolated horizons in preparation Pawlowski T 2004 PhD Dissertation University of Warsaw, in preparation
23. Ashtekar A, Corichi A and Sudarski D 2003 Non-minimally coupled scalar fields and isolated horizons Class. Quantum Grav. 20 3413-25
24. Chruściel P 1992 On the global structure of Robinson-Trautman spacetimes Proc. R. Soc. 436 299-316
25. Lewandowski J and Pawlowski T 2003 Extremal isolated horizons: a local uniqueness theorem Class. Quantum Grav. 20 587-606
26. Janis A I and Newman E T 1964 Structure of gravitational sources J. Math. Phys. 6 902-14
27. Ryan F 1995 Gravitational waves from the inspiral of a compact object in to a massive, axi-symmetric body with arbitrary multipole moments Phys. Rev. D 52 5707-18
28. Thorne K S, Price R H and Macdonald D A 1986 Black Holes: The Membrane Paradigm (New Haven, CT: Yale University Press) chapter 5
29. Ashtekar A and Krishnan B 2002 Dynamical horizons: energy, angular momentum, fluxes and balance laws Phys. Rev. Lett. 89 261101 Ashtekar A and Krishnan B 2003 Dynamical Horizons and their properties Phys. Rev. D 68 104030
30. Ashtekar A and Krishnan B 2002 Dynamical horizons: energy, angular momentum, fluxes and balance laws Phys. Rev. Lett. 89 261101 Ashtekar A and Krishnan B 2003 Dynamical Horizons and their properties Phys. Rev. D 68 104030
31. Anninos P, Bernstein D, Brandt S, Hobill D, Seidel E and Smarr L 1994 Dynamics of black hole apparent horizons Phys. Rev. D 50 3801-19 Anninos P, Bernstein D, Brandt S, Hobill D, Seidel E and Smarr L 1995 Oscillating apparent horizons in numerically generated spacetimes Aust. J. Phys. 48 1027-43
32. Anninos P, Bernstein D, Brandt S, Hobill D, Seidel E and Smarr L 1994 Dynamics of black hole apparent horizons Phys. Rev. D 50 3801-19 Anninos P, Bernstein D, Brandt S, Hobill D, Seidel E and Smarr L 1995 Oscillating apparent horizons in numerically generated spacetimes Aust. J. Phys. 48 1027-43
33. Ashtekar A 2003 Black hole entropy: inclusion of distortion and angular momentum http://www.phys.psu.edu/events/index.html?event_Jd=517&event_type= 17 Ashtekar A, Engle J and Van Den Broeck C 2003 in preparation
34. Ashtekar A 2003 Black hole entropy: inclusion of distortion and angular momentum http://www.phys.psu.edu/events/index.html?event_Jd=517&event_type= 17 Ashtekar A, Engle J and Van Den Broeck C 2003 in preparation