Abstract
A physical interpretation of theC-metric with a negative cosmological constantΛ is suggested. Using a convenient coordinate system it is demonstrated that this class of exact solutions of Einstein’s equations describes uniformly accelerating (possibly charged) black holes in anti-de Sitter universe. Main differences from the analogous de Sitter case are emphasised.
Similar content being viewed by others
References
J. Ehlers and W. Kundt: inGravitation: an Introduction to Current Research (Ed. L. Witten), Wiley, New York, 1962, p. 49.
D. Kramer, H. Stephani, M. MacCallum, and E. Herlt:Exact solutions of Einstein’s field equations, Cambridge University Press, Cambridge, 1980.
J. Bičák and B. Schmidt: Phys. Rev. D40 (1989) 1827.
W. Kinnersley and M. Walker: Phys. Rev. D2 (1970) 1359.
H. Farhoosh and R.L. Zimmerman: Phys. Rev. D21 (1980) 317.
A. Ashtekar and T. Dray: Commun. Math. Phys.79 (1981) 581.
W.B. Bonnor: Gen. Relativ. Gravit.15 (1983) 535.
F.H.J. Cornish and W.J. Uttley: Gen. Relativ. Gravit.27 (1995) 439.
F.H.J. Cornish and W.J. Uttley: Gen. Relativ. Gravit.27 (1995) 735.
V. Pravda and A. Pravdová: Czech. J. Phys.50 (2000) 333.
J. Podolský and J.B. Griffiths: Gen. Relativ. Gravit.33 (2001) 105.
R. Gleiser and J. Pullin: Class. Quantum Grav.6 (1989) L141.
J. Bičák: Astron. Nachr.311 (1990) 189.
Y. Nutku and R. Penrose: Twistor Newsletter No. 34, 11 May (1992) 9.
P.A. Hogan: Phys. Rev. Lett.70 (1993) 117.
J. Podolský and J.B. Griffiths: Class. Quantum Grav.17 (2000) 1401.
A.N. Aliev and Y. Nutku: Class. Quantum Grav.18 (2001) 891.
J.F. Plebanski and M. Demianski: Ann. Phys. (NY)98 (1976) 98.
B. Carter: Commun. Math. Phys.10 (1968) 280.
R. Debever: Bull. Soc. Math. Belg.23 (1971) 360.
J. Bičák and V. Pravda: Phys. Rev. D60 (1999) 044004.
P.S. Letelier and S.R. Oliveira: Phys. Rev. D64 (2001) 064005.
R.B. Mann and S.F. Ross: Phys. Rev. D52 (1995) 2254.
R.B. Mann: Class. Quantum Grav.14 (1997) L109.
J. Podolský and J.B. Griffiths: Phys. Rev. D63 (2001) 024006.
J. Bičák and P. Krtouš: Phys. Rev. D64 (2001) 124020.
S.W. Hawking and G.F.R. Ellis:The Large Scale Structure of Space-Time, Cambridge University Press, Cambridge, 1973.
K. Lake and R.C. Roeder: Phys. Rev. D15 (1977) 3513.
H. Laue and M. Weiss: Phys. Rev. D16 (1977) 3376.
J. Bičák and J. Podolský: Phys. Rev. D55 (1997) 1985.
Author information
Authors and Affiliations
Additional information
Dedicated to my academic teacher Prof. J. Bičák on the occasion of his 60th birthday.
This work was supported by the grant GACR-202/99/0261 of the Czech Republic and GAUK 141/2000 of Charles University in Prague.
Rights and permissions
About this article
Cite this article
Podolský, J. Accelerating black holes in anti-de Sitter universe. Czech J Phys 52, 1–10 (2002). https://doi.org/10.1023/A:1013961411430
Received:
Issue Date:
DOI: https://doi.org/10.1023/A:1013961411430