Pair creation of dilaton black holes
Sep 17, 1993
20 pages
Published in:
- Phys.Rev.D 49 (1994) 2909-2917
e-Print:
- hep-th/9309075 [hep-th]
Report number:
- EFI-93-51,
- FERMILAB-PUB-93-272-A,
- UMHEP-393
Citations per year
Abstract: (arXiv)
We consider dilaton gravity theories in four spacetime dimensions parametrised by a constant , which controls the dilaton coupling, and construct new exact solutions. We first generalise the C-metric of Einstein-Maxwell theory () to solutions corresponding to oppositely charged dilaton black holes undergoing uniform acceleration for general . We next develop a solution generating technique which allows us to ``embed" the dilaton C-metrics in magnetic dilaton Melvin backgrounds, thus generalising the Ernst metric of Einstein-Maxwell theory. By adjusting the parameters appropriately, it is possible to eliminate the nodal singularities of the dilaton C-metrics. For (but not for ), it is possible to further restrict the parameters so that the dilaton Ernst solutions have a smooth euclidean section with topology , corresponding to instantons describing the pair production of dilaton black holes in a magnetic field. A different restriction on the parameters leads to smooth instantons for all values of with topology .Note:
- 22 pages, EFI-93-51, FERMILAB-Pub-93/272-A, UMHEP-393. (Asymptotics of Ernst solutions clarified, typos repaired)
- postulated particle: dilaton
- gravitation: dilaton
- black hole: dilaton
- black hole: pair production
- pair production: black hole
- magnetic field: external field
- Einstein-Maxwell equation
- field equations: instanton
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