Rincón, Ángel, Bargueño, Pedro
Nariai-like black holes in light of scale-dependent gravity
The European Physical Journal C. 2023, 83:836. https://doi.org/10.1140/epjc/s10052-023-12004-w
URI: http://hdl.handle.net/10045/137662
DOI: 10.1140/epjc/s10052-023-12004-w
ISSN: 1434-6052
Abstract: 
In this work, we investigate for the first time Nariai-like black hole solutions in four dimensional space time with spherical symmetry in the context of scale-dependent gravity. In particular, we construct self-consistent solutions in such a way that the classical one that coming from Einstein theory) is also contained into our new results. We start by considering a truncated effective Einstein–Hilbert action with cosmological constant in which both the gravitational and the cosmological couplings are elevated to scale-dependent functions (instead of being coupling constants), taking advantage of the scale-dependent scenario, which is a concrete and simple approach strongly inspired by asymptotically safe gravity. We briefly discuss black hole thermodynamics and and compare it with its classical counterpart. The impact of non-Einsteinian features is encoded by the scale-dependent parameter, ϵ. A few comments regarding the topology of the solution and their impact are also mentioned.
Keywords:Nariai-like black holes, Dimensional space time, Spherical symmetry, Scale-dependent gravity
Springer Nature
info:eu-repo/semantics/article