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arXiv · 1607.04473

(Anti-) de Sitter Electrically Charged Black Hole Solutions in Higher-Derivative Gravity

Kai Lin·Wei-Liang Qian·A. B. Pavan·E. Abdalla
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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.

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Kai Lin, Wei-Liang Qian, A. B. Pavan, E. Abdalla. 2016-07-15. (Anti-) de Sitter Electrically Charged Black Hole Solutions in Higher-Derivative Gravity. https://doi.org/10.1209/0295-5075/114/60006

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