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Phys. Rev. D 63, 024020 (2000) [5 pages]

Black holes in nonflat backgrounds: The Schwarzschild black hole in the Einstein universe

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K. Rajesh Nayak *
Indian Institute of Astrophysics, Bangalore 560 034, India

M. A. H. MacCallum †
School of Mathematical Sciences, Queen Mary and Westfield College, London, United Kingdom

C. V. Vishveshwara ‡
Indian Institute of Astrophysics, Bangalore 560 034, India
Bangalore Association for Science Education (BASE), Bangalore 560 001, India

Received 12 June 2000; published 29 December 2000

As an example of a black hole in a non-flat background a composite static spacetime is constructed. It comprises a vacuum Schwarzschild spacetime for the interior of the black hole across whose horizon it is matched onto the spacetime of Vaidya representing a black hole in the background of the Einstein universe. The scale length of the exterior sets a maximum to the black hole mass. To obtain a non-singular exterior, the Vaidya metric is matched to an Einstein universe. The behavior of scalar waves is studied in this composite model.


©2000 The American Physical Society

URL: http://link.aps.org/abstract/PRD/v63/e024020
DOI: 10.1103/PhysRevD.63.024020
PACS: 04.70.-s, 04.20.Jb, 97.60.Lf

* Email address: nayak@iiap.ernet.in
† Email address: m.a.h.maccallum@qmw.ac.uk
‡ Email address: vishu@iiap.ernet.in

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