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Volumn 60, Issue 12, 1999, Pages

Late-time decay of gravitational and electromagnetic perturbations along the event horizon

Author keywords

[No Author keywords available]

Indexed keywords


EID: 17044438648     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.60.124005     Document Type: Article
Times cited : (41)

References (48)
  • 1
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    • Gordon and Breach Science Publishers, Inc., New York, C. DeWitt, B. S. DeWitt
    • B. Carter, in Les Astres Occlus, edited by C. DeWitt and B. S. DeWitt (Gordon and Breach Science Publishers, Inc., New York, 1973).
    • (1973) Les Astres Occlus
    • Carter, B.1
  • 21
    • 85037238217 scopus 로고    scopus 로고
    • gr-qc/9907044
    • S. Hod, gr-qc/9907044.
    • Hod, S.1
  • 22
    • 0542446495 scopus 로고    scopus 로고
    • For a generalization to other types of scalar fields, see S. Hod and T. Piran, Phys. Rev. D 58, 044018 (1998) and references therein (for a massive scalar field)
    • (1998) Phys. Rev. D , vol.58 , pp. 44018
    • Hod, S.1    Piran, T.2
  • 23
    • 84885639475 scopus 로고    scopus 로고
    • Phys. Rev. DS. HodT. Piran58, 024019 (1998) and references therein (for a charged scalar field).
    • (1998) Phys. Rev. D , vol.58 , pp. 24019
    • Hod, S.1    Piran, T.2
  • 29
    • 85037236783 scopus 로고    scopus 로고
    • gr-qc/9908005
    • L. Barack, Phys. Rev. D (to be published), gr-qc/9908005.
    • Barack, L.1
  • 31
    • 85037196898 scopus 로고    scopus 로고
    • gr-qc/9902072
    • S. Hod, Phys. Rev. D (to be published), gr-qc/9902072.
    • Hod, S.1
  • 32
    • 85037237111 scopus 로고    scopus 로고
    • gr-qc/9902073
    • S. Hod, gr-qc/9902073
    • Hod, S.1
  • 33
    • 1542735196 scopus 로고    scopus 로고
    • see also S. Hod, Phys. Rev. D 58, 104022 (1998), which, however, does not correctly handle the coupling between modes.
    • (1998) Phys. Rev. D , vol.58 , pp. 104022
    • Hod, S.1
  • 34
    • 85037242541 scopus 로고    scopus 로고
    • Ref
    • In Ref. 26 Hod recently analyzed the late time behavior of spin-(Formula presented) fields along the EH of a Kerr BH. However, his calculation was based on an assumption which (as we show at the end of this paper) turns out to be incorrect in the case (Formula presented) This led to an erroneous result in this case.
  • 35
    • 85037243429 scopus 로고    scopus 로고
    • gr-qc/9907096v2
    • S. Hod, gr-qc/9907096v2.
    • Hod, S.1
  • 39
    • 85037223221 scopus 로고    scopus 로고
    • Separate field equations for (Formula presented) and (Formula presented) were obtained in Ref
    • Separate field equations for (Formula presented) and (Formula presented) were obtained in Ref. 5. A “unified” master equation for all spins s was first introduced by Bardeen and Press in Ref. 29.
  • 41
    • 85037209903 scopus 로고    scopus 로고
    • For further information about the late-time expansion see, e.g., Refs
    • For further information about the late-time expansion see, e.g., Refs. 2411. (Note, however, the different notation in Ref. 24.)
  • 42
    • 85037194998 scopus 로고    scopus 로고
    • A. Erdélyi et al. Higher Transcendental Functions, Vol. 1 (McGraw-Hill Book Co., Inc., New York, 1953), Chapter II
    • A. Erdélyi et al., Higher Transcendental Functions, Vol. 1 (McGraw-Hill Book Co., Inc., New York, 1953), Chapter II.
  • 43
    • 85037208624 scopus 로고    scopus 로고
    • For a discussion of power series solutions near regular singular points of ordinary differential equations, see, for example, Sec. IV in H. Wayland, Differential Equations Applied in Science and Engineering (D. Van Nostrand Company, Inc., Princeton, New Jersey, 1957)
    • For a discussion of power series solutions near regular singular points of ordinary differential equations, see, for example, Sec. IV in H. Wayland, Differential Equations Applied in Science and Engineering (D. Van Nostrand Company, Inc., Princeton, New Jersey, 1957).
  • 45
    • 0000907863 scopus 로고
    • or by referring to the limit (Formula presented) in the work by I. D. Novikov and A. A. Starobinsky, in Abstracts of Contributed Papers of the Ninth International Conference on General Relativity and Gravitation, Jena, 1980, p. 262
    • Exact static solutions for a scalar field in Schwarzschild, expressed in terms of the Legendre functions, can be also obtained by referring to the limit (Formula presented) in Y. Gürsel, V. D. Sandberg, I. D. Novikov, and A. A. Starobinsky, Phys. Rev. D 19, 413 (1979);or by referring to the limit (Formula presented) in the work by I. D. Novikov and A. A. Starobinsky, in Abstracts of Contributed Papers of the Ninth International Conference on General Relativity and Gravitation, Jena, 1980, p. 262.
    • (1979) Phys. Rev. D , vol.19 , pp. 413
    • Gürsel, Y.1    Sandberg, V.D.2    Novikov, I.D.3    Starobinsky, A.A.4
  • 46
    • 85037201913 scopus 로고    scopus 로고
    • A. Ori, Phys. Rev. D (to be published).
    • Ori, A.1
  • 47
    • 0002718035 scopus 로고
    • The Teukolsky-Starobinsky identities were first introduced in A. A. Starobinsky and S. M. Churilov, Zh. Éksp. Teor. Fiz. 65, 3 (1973) [Sov. Phys. JETP 38, 1 (1974)]
    • (1974) Sov. Phys. JETP , vol.38 , pp. 1
    • Starobinsky, A.A.1    Churilov, S.M.2
  • 48
    • 0000640047 scopus 로고
    • and in W. H. Press and S. A. Teukolsky, Astrophys. J. 185, 649 (1973). A detailed review of this subject is provided in Secs. 70 and 81 of 31.
    • (1973) Astrophys. J. , vol.185 , pp. 649
    • Press, W.H.1    Teukolsky, S.A.2


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