https://doi.org/10.1140/epjc/s10052-023-11169-8
Regular Article - Theoretical Physics
The effects of running gravitational coupling on three dimensional black holes
1
Departamento de Física, Universidad de Santiago de Chile, Avenida Ecuador 3493, Santiago, Chile
2
Institut fur Theoretische Physik, Technische Universitat Wien, Wiedner Hauptstrasse 8-10, 1040, Vienna, Austria
3
Atominstitut, Technische Universitat Wien, Stadionalle 2, 1020, Vienna, Austria
4
Institute for Mathematics, Astrophysics and Particle Physics (IMAPP), Radboud University, Heyendaalseweg 135, 6525 AJ, Nijmegen, The Netherlands
5
Instituto de Física, Pontificia Universidad Católica de Chile, Av. Vicuña Mackenna 4860, Santiago, Chile
6
Center for Interdisciplinary Research in Astrophysics and Space Exploration (CIRAS), Universidad de Santiago de Chile, Av. Libertador Bernardo O’Higgins 3363, Estación Central, Chile
Received:
2
June
2022
Accepted:
26
December
2022
Published online:
1
February
2023
In the present work, we investigate the consequences of running gravitational coupling on the properties of the three-dimensional BTZ black hole. We take as starting point the functional form of gravitational coupling obtained in the context of asymptotic safe gravity theory. By using the standard scale setting relation where 
, we compute the solution of the Einstein field equations. We get and analyze the horizon and the thermodynamic properties of this new class of black hole solutions. The impact of the scale-dependent parameter 
on the cosmological “constant” and metric functions are briefly discussed. We find that the null energy condition is also violated in this setup when scale-dependent gravity and Newton’s coupling (coming from the asymptotic safety scenario of gravity) are simultaneously taken into account.
© The Author(s) 2023
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