Black hole solutions of gravity theories with non-minimal coupling between matter and curvature

作者：Bertolami Orfeu^*; Cadoni Mariano; Porru Andrea

来源：Classical and Quantum Gravity, 2015, 32(20): 205009.

DOI：10.1088/0264-9381/32/20/205009

• modified theories of gravity
• black holes
• exact solutions

We study black hole solutions in an extension of general relativity (GR) with an explicit non-minimal coupling between matter and curvature. General black hole solutions satisfying the known energy conditions are derived including the ones with anti-de Sitter background. These solutions differ from those of GR by just a coupling function-dependent rescaling of the mass and charge of the black hole and by a 'dressing' of the cosmological constant. The existence of black hole solutions of the non-minimally coupled theory as well as the conditions for a suitable weak-field limit are considered as a constraint on the coupling function responsible for the non-minimal coupling between matter and curvature. The 'dressing' of the cosmological constant is then used to address the cosmological constant problem.

• 出版日期2015-10-22