TY - JOUR

T1 - A scale dependent black hole in three-dimensional space-time

AU - Koch, Benjamin

AU - Reyes, Ignacio A.

AU - Rincón, Ángel

N1 - Funding Information:
The work of BK was supported by the Fondecyt 1161150, the work of IR was supported CONICYT-PCHA/Doctorado Nacional/2014, and the work of AR was supported by the CONICYT-PCHA/Doctorado Nacional/2015-21151658.
Publisher Copyright:
© 2016 IOP Publishing Ltd.

PY - 2016/10/25

Y1 - 2016/10/25

N2 - Scale dependence at the level of the effective action is a generic result of quantum field theory. Allowing for scale dependence of the gravitational couplings leads to a generalization of the corresponding field equations. In this work, those equations are solved by imposing the 'null energy condition' in three-dimensional space time with stationary spherical symmetry. The constants of integration are given in terms of the classical BTZ parameters plus one additional constant, that parametrizes the strength of the scale dependence. The properties such as asymptotics, horizon structure, and thermodynamics are discussed. It is found that the black hole entropy shows a remarkable transition from the usual 'area law' to an 'area ×radius' law.

AB - Scale dependence at the level of the effective action is a generic result of quantum field theory. Allowing for scale dependence of the gravitational couplings leads to a generalization of the corresponding field equations. In this work, those equations are solved by imposing the 'null energy condition' in three-dimensional space time with stationary spherical symmetry. The constants of integration are given in terms of the classical BTZ parameters plus one additional constant, that parametrizes the strength of the scale dependence. The properties such as asymptotics, horizon structure, and thermodynamics are discussed. It is found that the black hole entropy shows a remarkable transition from the usual 'area law' to an 'area ×radius' law.

KW - asymptotic safety

KW - black hole in three-dimensions BTZ

KW - functional renormalization group

UR - http://www.scopus.com/inward/record.url?scp=84994651138&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/33/22/225010

DO - 10.1088/0264-9381/33/22/225010

M3 - Article

AN - SCOPUS:84994651138

VL - 33

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 22

M1 - 225010

ER -