×

zbMATH — the first resource for mathematics

Topological black holes in quantum gravity. (English) Zbl 1206.83102
Summary: We derive the black hole solutions with horizons of non-trivial topology and investigate their properties in the framework of an approach to quantum gravity being an extension of Bohm’s formulation of quantum mechanics. The solutions we found tend asymptotically (for large \(r\)) to topological black holes. We also analyze the thermodynamics of these space-times.

MSC:
83C57 Black holes
83C45 Quantization of the gravitational field
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Kowalski-Glikman, J, Phys. lett. A, 250, 62, (1998)
[2] Åminneborg, S; Bengtsson, I; Holst, S; Peldán, P, Class. quantum grav., 13, 2707, (1996)
[3] Mann, R.B, Class. quantum grav., 14, L109, (1997)
[4] Vanzo, L, Phys. rev. D, 56, 6475, (1997)
[5] Brill, D.R; Louko, J; Peldán, P, Phys. rev. D, 56, 3600, (1997)
[6] Klemm, D; Vanzo, L, Phys. rev. D, 58, 104025, (1998)
[7] Błaut, A; Kowalski-Glikman, J, Phys. lett. A, 245, 197, (1998)
[8] Bohm, D; Bohm, D; Bohm, D; Hiley, B.J; Bohm, D; Hiley, B.J; Koloyerou, P.N; Bohm, D; Hiley, B.J; Bell, J.S, Phys. rev., Phys. rev., Phys. rep., Phys. rep., The undivided universe: an ontological interpretation of quantum theory, Speakable unspeakable in quantum mechanics, 144, 349, (1987), Cambridge University Press · Zbl 0990.81503
[9] Holland, P.R, The quantum theory of motion, (1993), Cambridge University Press
[10] Kowalski-Glikman, J; Vink, J; Vink, J, Class. quantum grav., Nucl. phys. B, 369, 707, (1992)
[11] Squires, E, Phys. lett. A, 155, 357, (1991)
[12] Kowalski-Glikman, J; Kowalski-Glikman, J, Quantum potential and quantum gravity, () · Zbl 1058.83512
[13] Shtanov, Yu, Phys. rev. D, 54, 2564, (1996)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.