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

Benjamin Koch, Ignacio A. Reyes, Ángel Rincón

Research output: Contribution to journalArticlepeer-review

62 Scopus citations


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.

Original languageEnglish
Article number225010
JournalClassical and Quantum Gravity
Issue number22
StatePublished - 25 Oct 2016
Externally publishedYes


  • asymptotic safety
  • black hole in three-dimensions BTZ
  • functional renormalization group


Dive into the research topics of 'A scale dependent black hole in three-dimensional space-time'. Together they form a unique fingerprint.

Cite this