Extensible embeddings of black-hole geometries

Citation
A. Davidson et U. Paz, Extensible embeddings of black-hole geometries, FOUND PHYS, 30(5), 2000, pp. 785-794
Citations number
26
Categorie Soggetti
Physics
Journal title
FOUNDATIONS OF PHYSICS
ISSN journal
00159018 → ACNP
Volume
30
Issue
5
Year of publication
2000
Pages
785 - 794
Database
ISI
SICI code
0015-9018(200005)30:5<785:EEOBG>2.0.ZU;2-I
Abstract
Removing a black hole conic singularity by means of Kruskal Fronsdal local isometric embedding of the corresponding black hole geometry. Allowing for globally non-trivial embeddings, living in Kaluza-Klein-like M-5 x S-1 (rat her than in standard Minkowski M-0) and parameterized by some wave number k , extensibility can be achieved for apparently "forbidden" frequencies omeg a in the range omega(1)(k) less than or equal to omega less than or equal t o omega(2)(k). Ask --> 0, omega(1,2) (0) --> omega(H) (e.g., omega(H) = 1/4 M in the Schwarzschild case) such that the Hawking-Gibbons limit is fully r ecovered. The various Kruskal sheets are then viewed as slices of the Kaluz a Klein background. Euclidean k discreteness, dictated by imaginary time pe riodicity, is correlated with flux quantization of the underlying embedding gauge field.