---

Prog. Theor. Phys. Vol. 102 No. 2 (1999) pp. 253-272

Analytic Solutions of the Teukolsky Equation in Kerr-de Sitter and Kerr-Newman-de Sitter Geometries

Hisao Suzuki,^1,*) Eiichi Takasugi^2,**) and Hiroshi Umetsu^2,***)

¹Department of Physics, Hokkaido University, Sapporo 060-0810, Japan
²Department of Physics, Osaka University, Toyonaka 560-0043, Japan

(Received May 25, 1999)

Abstract:

An analytic solution of the Teukolsky equation in Kerr-de Sitter and Kerr-Newman-de Sitter geometries is presented, and the properties of this solution are examined. In particular, we show that our solution satisfies the Teukolsky-Starobinsky identities explicitly and fix the relative normalization between solutions with spin weights s and -s.

URL : http://ptp.ipap.jp/link?PTP/102/253/
DOI : 10.1143/PTP.102.253

^*)E-mail: hsuzuki@particle.sci.hokudai.ac.jp
^**) E-mail: takasugi@het.phys.sci.osaka-u.ac.jp
^***) E-mail: umetsu@het.phys.sci.osaka-u.ac.jp

[ Full Text PDF : FREE ACCESS (200K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. S. Mano, H. Suzuki and E. Takasugi, Prog. Theor. Phys. 95 (1996), 1079[PTP].
2. S. Mano, H. Suzuki and E. Takasugi, Prog. Theor. Phys. 96 (1996), 549[PTP].
3. S. A. Teukolsky, Astrophys. J. 185 (1973), 635[CrossRef].
4. S. Mano and E. Takasugi, Prog. Theor. Phys. 97 (1997), 213[PTP].
5. S. Chandrasekhar, The Mathematical Theory of Black Holes (Oxford Scientific Press, 1992).
6. T. Tanaka, H. Tagoshi and M. Sasaki, Prog. Theor. Phys. 96 (1996), 1087[PTP].
7. H. Tagoshi, S. Mano and E. Takasugi, Prog. Theor. Phys. 98 (1997), 829[PTP].
8. H. Suzuki, E. Takasugi and H. Umetsu, Prog. Theor. Phys. 100 (1998), 491[PTP].
9. Heun's Differential Equations, ed. A. Ronveaux (Oxford Science Publications, 1995).
10. S. A. Teukolsky and W. H. Press, Astrophys. J. 193 (1974), 443[CrossRef].
    A. A. Starobinsky and S. M. Churilov, Sov. Phys. -JETP 38 (1973), 1.
11. H. Suzuki, E. Takasugi and H. Umetsu, in preparation.
12. E. Witten, Adv. Theor. Math. Phys. 2 (1998), 253.
13. J. Maldacena and A. Strominger, Phys. Rev. D56 (1997), 4975[APS].
    D. Birmingham, I. Sachs and S. Sen, Phys. Lett. B413 (1997), 281[Elsevier].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 103 No. 4 (2000) pp. 723-731 :

   Absorption Rate of the Kerr-de Sitter Black Hole and the Kerr-Newman-de Sitter Black Hole

   Hisao Suzuki, Eiichi Takasugi and Hiroshi Umetsu

2. Progress of Theoretical Physics Vol. 104 No. 4 (2000) pp. 743-755 :

   A Conserved Energy Integral for Perturbation Equations in the Kerr-de Sitter Geometry

   Hiroshi Umetsu

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.