Gauge invariant perturbations of black holes. I. Schwarzschild space-time

Journal of Mathematical Physics

Volumn 37, Issue 2, 1996, Pages 836-857

  Fernandes, Joe F Q ^a   Lun, Anthony W C ^a  

^a MONASH UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030538333     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531789     Document Type: Article

References (20)

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6. R. Penrose and W. Rindler, Spinors and Space - time (Cambridge University Press, Cambridge, 1984), Vol. 1
7. A. W. C. Lun, Ph.D. thesis, Monash University, 1976, see also J. M. Stewart and N. Walker, Proc. R. Soc. London Ser. A 341, 49 (1974) who discuss the importance of gauge invariant quantities in perturbations of space - time.
8. A. W. C. Lun, Ph.D. thesis, Monash University, 1976, see also J. M. Stewart and N. Walker, Proc. R. Soc. London Ser. A 341, 49 (1974) who discuss the importance of gauge invariant quantities in perturbations of space - time.
9. F. Zerilli, Phys. Rev. Lett. 24, 737 (1970).
10. R. H. Price, Phys. Rev. D 5, 2439 (1972).
11. J. F. Q. Fernandes and A. W. C. Lun, in Proceedings of the 7th Marcel Grossmann Meeting on General Relativity (World Scientific, Singapore, in press).
12. J. F. Q. Fernandes and A. W. C. Lun, J. Austr. Math. Soc. Ser B. (in press).
13. See, for example, Ref. 1, Chap. 1, Eqs. (330)-(333).
14. S. A. Teukolsky and W. H. Press, Astrophys. J. 193, 443 (1974).
15. R. Geroch, A. Held, and R. Penrose, J. Math. Phys. 14, 874 (1973).
16. For a full description of the Bianchi identities and the Ricci identities in the Newman - Penrose formalism, we refer the reader to Ref. 1, Chap. 1, Eqs. (321) and (310), or Ref. 6, Eqs. (4.12.32), (4.12.36)-(4.12.39).
17. E. T. Newman and R. Penrose, J. Math. Phys. 7, 863 (1966).
18. V. Moncrief, Ann. Phys. 88, 323 (1974).
19. J. F. Q. Fernandes and A. W. C. Lun, "Gauge invariant perturbations of black holes III: Reissner - Nordström Space -time" (in preparation).
20. J. F. Q. Fernandes and A. W. C. Lun, "Gauge invariant perturbations of black holes II: Kerr Space - time" (in preparation).