Work

Black holes with nonminimal derivative coupling

Year: 2012
Type: article
Abstract: We study the gravitational field equations in the presence of a coupling between the derivative of a massless scalar field and the Einstein tensor. This configuration is motivated by Galileon gravity as it preserves shift invariance in the scalar sector. We analytically obtain solutions with static and spherically symmetric geometry, which also include black holes with a single regular horizon. We examine the thermodynamical properties of these solutions, and we reveal the nonperturbative nature of the coupling constant. We also find a phase transition, similar to the one described by Hawking and Page, which occurs at a critical temperature determined by both the black hole mass and by the strength of the coupling.
Institution: University of Namur
Language: English
Open Access status: green
OpenAlex ID: W2167315042
FWCI: 5.239
Cites: 32
Cited by: 288
Related to: 10