Black holes with nonminimal derivative coupling

By M. Rinaldi. 2012

149 citations recorded by the source corpus.

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 non-perturbative nature of the Galileon 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.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/470bc8b15147d9a6519d2014a36506d62ba84805

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Lavinia Heisenberg
2. Tsutomu Kobayashi
3. P. Peter
4. Y. Rodríguez
5. E. Allys
6. N. Frusciante
7. Louis Pèrenon
8. K. Koyama

In Atomic and Molecular Physics, and Optics

1. Lavinia Heisenberg
2. N. Frusciante
3. Louis Pèrenon

In Nuclear and High Energy Physics

1. Lavinia Heisenberg
2. Tsutomu Kobayashi

Citations in the corpus

• A systematic approach to generalisations of General Relativity and their cosmological implications (2018, background): “Hairy black hole solutions can be constructed within this class of theories, if some of the assumptions are set aside, for instance solutions involving π′ 6= 0 [290, 291, 62, 61].”