• Open Access

Spinning black holes for generalized scalar-tensor theories in three dimensions

Olaf Baake, Moisés Bravo-Gaete, and Mokhtar Hassaine
Phys. Rev. D 102, 024088 – Published 30 July 2020

Abstract

We consider a general class of scalar tensor theories in three dimensions whose action contains up to second-order derivatives of the scalar field with coupling functions that only depend on the standard kinetic term of the scalar field, thus ensuring the invariance under the constant shift of the scalar field. For this model, we show that the field equations for a stationary metric ansatz together with a purely radial scalar field can be fully integrated. The kinetic term of the scalar field solution is shown to satisfy an algebraic relation depending only on the coupling functions, and hence is constant while the metric solution is nothing but a Bañados-Teitelboim-Zanelli (BTZ)-like metric with an effective cosmological constant fixed in terms of the coupling functions. As a direct consequence the thermodynamics of the solution is shown to be identical to a BTZ-like one with an effective cosmological constant, despite the presence of a scalar field. Finally, the expression of the semiclassical entropy of this solution is also confirmed through a generalized Cardy-like formula involving the mass of the scalar soliton obtained from the black hole by means of a double Wick rotation.

  • Received 31 May 2020
  • Accepted 9 July 2020

DOI:https://doi.org/10.1103/PhysRevD.102.024088

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Olaf Baake*

  • Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca 3460000, Chile, and Centro de Estudios Cientificos (CECs), Avenida Arturo Part 514, Valdivia 5090000, Chile

Moisés Bravo-Gaete

  • Facultad de Ciencias Básicas, Universidad Católica del Maule, Casilla 617, Talca 3460000, Chile

Mokhtar Hassaine

  • Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca 3460000, Chile

  • *olaf.baake-at-inst-mat.utalca.cl
  • mbravo-at-ucm.cl
  • hassaine-at-inst-mat.utalca.cl

Article Text

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Issue

Vol. 102, Iss. 2 — 15 July 2020

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