Classification of minimum global embeddings for nonrotating black holes
Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 1, pp. 213-223
Voir la notice de l'article provenant de la source Math-Net.Ru
We consider the problem of the existence of global embeddings of metrics of spherically symmetric black holes into an ambient space with the minimum possible dimension. We classify the possible types of embeddings by the type of realization of the metric symmetry by ambient space symmetries. For the Schwarzschild, Schwarzschild–de Sitter, and Reissner–Nordström black holes, we prove that the known global embeddings are the only ones. We obtain a new global embedding for the Reissner–Nordström–de Sitter metrics and prove that constructing such embeddings is impossible for the Schwarzschild–anti-de Sitter metric. We also discuss the possibility of constructing global embeddings of the Reissner–Nordström–anti-de Sitter metric.
Keywords:
gravity theory, isometric embedding, embedding theory, black hole, additional dimension.
@article{TMF_2015_185_1_a19,
author = {A. A. Sheikin and S. A. Paston},
title = {Classification of minimum global embeddings for nonrotating black holes},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {213--223},
publisher = {mathdoc},
volume = {185},
number = {1},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2015_185_1_a19/}
}
TY - JOUR AU - A. A. Sheikin AU - S. A. Paston TI - Classification of minimum global embeddings for nonrotating black holes JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2015 SP - 213 EP - 223 VL - 185 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2015_185_1_a19/ LA - ru ID - TMF_2015_185_1_a19 ER -
A. A. Sheikin; S. A. Paston. Classification of minimum global embeddings for nonrotating black holes. Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 1, pp. 213-223. http://geodesic.mathdoc.fr/item/TMF_2015_185_1_a19/