Uniqueness theorems for static black holes in metric-affine gravity
广义相对论与量子宇宙学
2016-08-15 v1 高能物理 - 理论
摘要
Using the equivalence theorem for the triplet ansatz sector of metric-affine gravity (MAG) theories and the Einstein-Proca system, it is shown that the only static black hole of the triplet sector of MAG is the Schwarzschild solution, under the constraint (-4\beta_4 + k_1\beta_5/2k_0 + k_2\gamma_4/k_0)/\kappa z_4 \neq 0 on the coupling constants. For the special case (-4\beta_4 + k_1\beta_5/2k_0 + k_2\gamma_4/k_0)/\kappa z_4 = 0, it follows that the only static non-extremal black hole is the Reissner-Nordstr\"om one. The results can be extended to exclude also the existence of soliton solutions of the triplet sector of MAG.
引用
@article{arxiv.gr-qc/9911069,
title = {Uniqueness theorems for static black holes in metric-affine gravity},
author = {Eloy Ayón-Beato and Alberto García and Alfredo Macías and Hernando Quevedo},
journal= {arXiv preprint arXiv:gr-qc/9911069},
year = {2016}
}
备注
12 pages, RevTex, to appear in Phys. Rev. D