Late time dynamics of scalar perturbations outside black holes. I. A shell toy model

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 59, Issue 4, 1999, Pages

  Barack, Leor ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

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Indexed keywords

EID: 16644379056     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.59.044016     Document Type: Article

References (24)

1. M. Heusler, Black Hole Uniqueness Theorems (Cambridge University Press, New York, 1996).
2. R. H. Price, Phys. Rev. D 5, 2419 (1972);
3. Phys. Rev. DR. H. Price5, 2439 (1972).
4. C. Gundlach, R. H. Price, and J. Pullin, Phys. Rev. D 49, 883 (1994).
5. C. Gundlach, R. H. Price, and J. Pullin, Phys. Rev. D 49, 890 (1994).
6. L. M. Burko and A. Ori, Phys. Rev. D 56, 7820 (1997).
7. E. S. C. Ching, P. T. Leung, W. M. Suen, and K. Young, Phys. Rev. Lett. 74, 2414 (1995).
8. R. Gómez, J. Winicour, and B. G. Schmidt, Phys. Rev. D 49, 2828 (1994).
9. P. R. Brady, C. M. Chambers, W. Krivan, and P. Laguna, Phys. Rev. D 55, 7538 (1997).
10. E. Leaver, J. Math. Phys. 27, 1238 (1986);
11. E. LeaverPhys. Rev. D 34, 384 (1986).
12. N. Andersson, Phys. Rev. D 55, 468 (1997).
13. K. S. Thorne, in 300 Years of Gravitation, edited by S. W. Hawking and W. Israel (Cambridge University Press, Cambridge, England, 1987).
14. A. Ori, Phys. Rev. Lett. 67, 789 (1991);
15. Phys. Rev. Lett.A. Ori68, 2117 (1992).
16. S. Chandrasekhar, The Mathematical Theory of Black Holes (Oxford University Press, New York, 1983), pp. 261–262.
17. After this paper was accepted, we became aware of a recent paper, S. Hod, Phys. Rev. D 58, 104022 (1998), which analytically addresses the issue of the late time decay of fields outside a Kerr black hole. In this paper the analysis is carried out in the frequency domain to the leading order in the frequency ω. The method and approximation used in this paper do not properly describe the coupling between modes of different l. (This coupling has a dominant effect on the late-time behavior in the Kerr case 17.)
18. W. Krivan, P. Laguna, and P. Papadopoulos, Phys. Rev. D 54, 4728 (1996).
19. W. Krivan, P. Laguna, P. Papadopoulos, and N. Andersson, Phys. Rev. D 56, 3395 (1997).
20. L. Barack and A. Ori, “Late time decay of scalar perturbations outside rotating black holes” (in preparation).
21. L. Barack, in Internal Structure of Black Holes and Spacetime Singularities, edited by L. M. Burko and A. Ori, Annals of the Israel Physical Society Vol. XIII (Institute of Physics, Bristol, 1997).
22. W. Israel, Nuovo Cimento B 44, 1 (1966);
23. Nuovo Cimento BW. Israel48, 463 (1967).
24. F. G. Friedlander, The Wave Equation on a Curved Spacetime (Cambridge University Press, Cambridge, England, 1975), Sec. 5.4 (see in particular theorems 5.4.1 and 5.4.2).