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 -