Abstract
This work presents a generalization of the rotating black hole in two plus one dimensions, in the light of scale-dependent gravitational couplings. In particular, the gravitational coupling kappa _0 and the cosmological term varLambda _0 are not forced to be constants anymore. Instead, kappa and varLambda are allowed to change along the radial scale r. The effective Einstein field equations of this problem are solved by assuming static rotational symmetry and by maintaining the usual structure of the line element. For this generalized solution, the asymptotic behavior, the horizon structure, and the thermodynamic properties are analyzed.
Highlights
To formulate a consistent and predictive quantum theory of gravity (QG) is one of the mayor challenges for the community seeking a unified description of the known fundamental interactions
In this paper we aim to study the dominant effects such a scale dependence could have on the BTZ black hole in the Einstein Hilbert truncation of the effective action of gravity in 2+1 dimensions
One of the integration constants ( ) of the generalized field equations is used as a control parameter, which allows to regulate the strength of scale dependence, such that for → 0, the well-know classical BTZ background is recovered
Summary
To formulate a consistent and predictive quantum theory of gravity (QG) is one of the mayor challenges for the community seeking a unified description of the known fundamental interactions. At least 16 major approaches to quantum gravity have been proposed in the literature (see [1] and references therein), but none of these approaches have reached the goal in a completely satisfactory way. In this paper we contribute to the topic of quantum gravity by studying black hole solutions of effective scale–dependent gravity in 2+1 dimensions. Combine three different aspects, namely, scale dependence, gravity in 2 + 1 dimensions and black holes. Each of those aspects hast a motivation of its own, but all of those aspects have an important motivation from the perspective of quantum gravity: 1022 Page 2 of 10.
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