(Anti-) de Sitter electrically charged black-hole solutions in higher-derivative gravity

¹ Instituto de Física e Química, Universidade Federal de Itajubá - Itajubá, MG, Brasil
² Escola de Engenharia de Lorena, Universidade de São Paulo - Lorena, SP, Brasil
³ Faculadade de Engenharia de Guaratinguetá, Universidade Estadual Paulista - Guaratinguetá, SP, Brasil
⁴ Instituto de Física, Universidade de São Paulo - CP 66318, 05315-970, São Paulo, SP, Brasil

^(a) lk314159@hotmail.com
^(b) wlqian@usp.br
^(c) alan@unifei.edu.br
^(d) eabdalla@usp.br

Received: 4 June 2016
Accepted: 1 July 2016

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.