Dynamically and thermodynamically stable black holes in Einstein-Maxwell-dilaton gravity
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Springer
Received: December 11, Revised: May 19, Accepted: June 12, Published: July 9,
2019 2020 2020 2020
Dumitru Astefanesei,a Jose Luis Bl´ azquez-Salcedo,b Carlos Herdeiro,c Eugen Raduc and Nicolas Sanchis-Guald a
Pontificia Universidad Cat´ olica de Valpara´ıso, Instituto de F´ısica, Av. Brasil 2950, Valpara´ıso, Chile b Institut f¨ ur Physik, Universit¨ at Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany c Departamento de Matem´ atica da Universidade de Aveiro and Center for Research and Development in Mathematics and Applications (CIDMA), Campus de Santiago, 3810-183 Aveiro, Portugal d Centro de Astrof´ısica e Gravitac˜ ao — CENTRA, Departamento de F´ısica, Instituto Superior T´ecnico — IST, Universidade de Lisboa — UL, Avenida Rovisco Pais 1, 1049-001 Lisbon, Portugal
E-mail: [email protected], [email protected], [email protected], [email protected], [email protected]
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP07(2020)063
JHEP07(2020)063
Dynamically and thermodynamically stable black holes in Einstein-Maxwell-dilaton gravity
Keywords: Black Holes, Black Holes in String Theory ArXiv ePrint: 1912.02192
JHEP07(2020)063
Abstract: We consider Einstein-Maxwell-dilaton gravity with the non-minimal exponential coupling between the dilaton and the Maxwell field emerging from low energy heterotic string theory. The dilaton is endowed with a potential that originates from an electromagnetic Fayet-Iliopoulos (FI) term in N = 2 extended supergravity in four spacetime dimensions. For the case we are interested in, this potential introduces a single parameter α. When α → 0, the static black holes (BHs) of the model are the Gibbons-Maeda-GarfinkleHorowitz-Strominger (GMGHS) solutions. When α → ∞, the BHs become the standard Reissner-Nordstr¨ om (RN) solutions of electrovacuum General Relativity. The BH solutions for finite non-zero α interpolate between these two families. In this case, the dilaton potential regularizes the extremal limit of the GMGHS solution yielding a set of zero temperature BHs with a near horizon AdS2 × S 2 geometry. We show that, in the neighborhood of these extremal solutions, there is a subset of BHs that are dynamically and thermodynamically stable, all of which have charge to mass ratio larger than unity. By dynamical stability we mean that no growing quasi-normal modes are found; thus they are stable against linear perturbations (spherical and non-spherical). Moreover, non-linear numerical evolutions lend support to their non-linear stability. By thermodynamical stability we mean the BHs are stable both in the canonical and grand-canonical ensemble. In particular, both the specific heat at constant charge and the isothermal permittivity are positive. This is not possible for RN and GMGHS BHs. We discuss the different thermodynamical phases for the BHs in this model and comment on what may allow the existence of both dynamically and thermodynamically stable BHs.
Contents 1 Introduction
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2 Ein
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