Uniqueness of photon sphere for Einstein-Maxwell-dilaton black holes with arbitrary coupling constant
High Energy Physics - Theory
2016-03-09 v1 General Relativity and Quantum Cosmology
Abstract
The uniqueness of static asymptotically flat photon sphere for static black hole solution in Einstein-Maxwell-dilaton theory with arbitrary coupling constant was proposed. Using the conformal positive energy theorem we show that the dilaton sphere subject to the non-extremality condition authorizes a cylinder over a topological sphere.
Keywords
Cite
@article{arxiv.1602.03270,
title = {Uniqueness of photon sphere for Einstein-Maxwell-dilaton black holes with arbitrary coupling constant},
author = {Marek Rogatko},
journal= {arXiv preprint arXiv:1602.03270},
year = {2016}
}
Comments
9 pages, RevTex, to be published in Phys.Rev.D15