(Anti-) de Sitter Electrically Charged Black Hole Solutions in Higher-Derivative Gravity
Abstract
In this paper, static electrically charged black hole solutions with cosmological constant are investigated in an Einstein-Hilbert theory of gravity with additional quadratic curvature terms. Beside the analytic Schwarzschild (Anti-) de Sitter solutions, non-Schwarzschild (Anti-) de Sitter solutions are also obtained numerically by employing the shooting method. The results show that there exist two groups of asymptotically (Anti-) de Sitter spacetimes for both charged and uncharged black holes. In particular, it was found that for uncharged black holes the first group can be reduced to the Schwarzschild (Anti-) de Sitter solution, while the second group is intrinsically different from a Schwarzschild (Anti-) de Sitter solution even when the charge and the cosmological constant become zero.
Cite
@article{arxiv.1607.04473,
title = {(Anti-) de Sitter Electrically Charged Black Hole Solutions in Higher-Derivative Gravity},
author = {Kai Lin and Wei-Liang Qian and A. B. Pavan and E. Abdalla},
journal= {arXiv preprint arXiv:1607.04473},
year = {2016}
}