Black hole solutions in R 2 gravity

Kechagias, Alexandros; Kounnas, Costas; Lüst, Dieter; Riotto, Antonio Walter

doi:10.1007/JHEP05(2015)143

Scientific article

English

Black hole solutions in R 2 gravity

Contributors

Kechagias, Alexandros; Kounnas, Costas; Lüst, Dieter; Riotto, Antonio Walter

Published in

The journal of high energy physics, vol. 1505, p. 143-163

Collection

Open Access - SCOAP3

Publication date

2015

Abstract

We find static spherically symmetric solutions of scale invariant R 2 gravity. The latter has been shown to be equivalent to General Relativity with a positive cosmological constant and a scalar mode. Therefore, one expects that solutions of the R 2 theory will be identical to that of Einstein theory. Indeed, we find that the solutions of R 2 gravity are in one-to-one correspondence with solutions of General Relativity in the case of non-vanishing Ricci scalar. However, scalar-flat R = 0 solutions are global minima of the R 2 action and they cannot in general be mapped to solutions of the Einstein theory. As we will discuss, the R = 0 solutions arise in Einstein gravity as solutions in the tensionless, strong coupling limit M P → 0. As a further result, there is no corresponding Birkhoff theorem and the Schwarzschild black hole is by no means unique in this framework. In fact, R 2 gravity has a rich structure of vacuum static spherically symmetric solutions partially uncovered here. We also find charged static spherically symmetric backgrounds coupled to a U(1) field. Finally, we provide the entropy and energy formulas for the R 2 theory and we find that entropy and energy vanish for scalar-flat backgrounds.

Keywords

Black Holes
Classical Theories of Gravity

UNIGE affiliation entities

Faculté des sciences / Section de physique / Département de physique nucléaire et corpusculaire

Citation (ISO format)

KECHAGIAS, Alexandros et al. Black hole solutions in R 2 gravity. In: The journal of high energy physics, 2015, vol. 1505, p. 143–163. doi: 10.1007/JHEP05(2015)143

Article (Published version)

CC BY

Identifiers

PID : unige:73686
DOI : 10.1007/JHEP05(2015)143
arXiv : 1502.04192

Journal ISSN

1029-8479

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25/06/2015 17:22:57

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14/03/2023 23:24:45

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31/10/2024 00:40:48

Black hole solutions in R 2 gravity

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Abstract

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First validation

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