Multidimensional Reissner-Nordstrom Problem with a Generalized Maxwell Field
广义相对论与量子宇宙学
2011-04-15 v1
摘要
We obtain and study static, spherically symmetric solutions for the Einstein - generalized Maxwell field system in 2n dimensions, with possible inclusion of a massless scalar field. The generalization preserves the conformal invariance of the Maxwell field in higher dimensions. Almost all solutions exhibit naked singularities, but there are some classes of black-hole solutions. For these cases the Hawking temperature is found and its charge/mass and dimension dependence is discussed. It is shown that, unlike the previously known multidimensional black-hole solutions, in our case the Hawking temperature may infinitely grow in the extreme case (that of minimum mass for given charges).
引用
@article{arxiv.gr-qc/9703022,
title = {Multidimensional Reissner-Nordstrom Problem with a Generalized Maxwell Field},
author = {Kirill A. Bronnikov and Julio Cesar Fabris},
journal= {arXiv preprint arXiv:gr-qc/9703022},
year = {2011}
}
备注
9 pages, Latex