Electromagnetic quasitopological gravities

Abstract We identify a set of higher-derivative extensions of Einstein-Maxwell theory that allow for spherically symmetric charged solutions characterized by a single metric function f (r) = −g tt = 1/g rr . These theories are a non-minimally coupled version of the recently constructed Generalized Q...

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Main Authors: Pablo A. Cano, Ángel Murcia
Format: Article
Language:English
Published: SpringerOpen 2020-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP10(2020)125
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author Pablo A. Cano
Ángel Murcia
author_facet Pablo A. Cano
Ángel Murcia
author_sort Pablo A. Cano
collection DOAJ
description Abstract We identify a set of higher-derivative extensions of Einstein-Maxwell theory that allow for spherically symmetric charged solutions characterized by a single metric function f (r) = −g tt = 1/g rr . These theories are a non-minimally coupled version of the recently constructed Generalized Quasitopological gravities and they satisfy a number of properties that we establish. We study magnetically-charged black hole solutions in these new theories and we find that for some of them the equations of motion can be fully integrated, enabling us to obtain analytic solutions. In those cases we show that, quite generally, the singularity at the core of the black hole is removed by the higher-derivative corrections and that the solution describes a globally regular geometry. In other cases, the equations are reduced to a second order equation for f (r). Nevertheless, for all the theories it is possible to study the thermodynamic properties of charged black holes analytically. We show that the first law of thermodynamics holds exactly and that the Euclidean and Noether-charge methods provide equivalent results. We then study extremal black holes, focusing on the corrections to the extremal charge-to-mass ratio at a non-perturbative level. We observe that in some theories there are no extremal black holes below certain mass. We also show the existence of theories for which extremal black holes do not represent the minimal mass state for a given charge. The implications of these findings for the evaporation process of black holes are discussed.
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spelling doaj.art-bd8355734f244fe988b40f51b078dfcb2022-12-21T18:55:10ZengSpringerOpenJournal of High Energy Physics1029-84792020-10-0120201015410.1007/JHEP10(2020)125Electromagnetic quasitopological gravitiesPablo A. Cano0Ángel Murcia1Instituut voor Theoretische Fysica, KU LeuvenInstituto de Física Teórica UAM/CSICAbstract We identify a set of higher-derivative extensions of Einstein-Maxwell theory that allow for spherically symmetric charged solutions characterized by a single metric function f (r) = −g tt = 1/g rr . These theories are a non-minimally coupled version of the recently constructed Generalized Quasitopological gravities and they satisfy a number of properties that we establish. We study magnetically-charged black hole solutions in these new theories and we find that for some of them the equations of motion can be fully integrated, enabling us to obtain analytic solutions. In those cases we show that, quite generally, the singularity at the core of the black hole is removed by the higher-derivative corrections and that the solution describes a globally regular geometry. In other cases, the equations are reduced to a second order equation for f (r). Nevertheless, for all the theories it is possible to study the thermodynamic properties of charged black holes analytically. We show that the first law of thermodynamics holds exactly and that the Euclidean and Noether-charge methods provide equivalent results. We then study extremal black holes, focusing on the corrections to the extremal charge-to-mass ratio at a non-perturbative level. We observe that in some theories there are no extremal black holes below certain mass. We also show the existence of theories for which extremal black holes do not represent the minimal mass state for a given charge. The implications of these findings for the evaporation process of black holes are discussed.http://link.springer.com/article/10.1007/JHEP10(2020)125Black HolesClassical Theories of Gravity
spellingShingle Pablo A. Cano
Ángel Murcia
Electromagnetic quasitopological gravities
Journal of High Energy Physics
Black Holes
Classical Theories of Gravity
title Electromagnetic quasitopological gravities
title_full Electromagnetic quasitopological gravities
title_fullStr Electromagnetic quasitopological gravities
title_full_unstemmed Electromagnetic quasitopological gravities
title_short Electromagnetic quasitopological gravities
title_sort electromagnetic quasitopological gravities
topic Black Holes
Classical Theories of Gravity
url http://link.springer.com/article/10.1007/JHEP10(2020)125
work_keys_str_mv AT pabloacano electromagneticquasitopologicalgravities
AT angelmurcia electromagneticquasitopologicalgravities