arXiv subjects

Murat Mesta

Publications and source records attributed to Murat Mesta.

3 recordsLinked to original sources

arXiv2026

Regular AdS$_3$ black holes from regularized Gauss-Bonnet coupling

We obtain a three-dimensional bi-vector-tensor theory of the generalized Proca class by regularizing the Gauss-Bonnet invariant within the Weyl geometry. We show that the theory admits a regular AdS$_3$ black hole solution with primary hairs. Introducing a deformation in the theory, a different regular AdS$_3$ black hole solution is obtained. Charged generalizations of these solutions are given by coupling to Born-Infeld electrodynamics.

hep-th↗

arXiv2025

AdS$_3$ black holes with primary Proca hair from a regularized Gauss-Bonnet coupling

We construct a consistent three-dimensional Einstein-Gauss-Bonnet theory as a vector-tensor theory within the generalized Proca class by employing a regularization procedure based on the Weyl geometry, which was introduced recently in \link{2504.13084}. We then obtain an asymptotically AdS$_3$, static, and circularly symmetric black hole solution with primary Proca hair. Afterward, we investigate the effect of the scalar-tensor Gauss-Bonnet coupling constructed previously by different regularization schemes. We further generalize these solutions by incorporating an electric charge. As special cases, we find a regular black hole solution in addition to charged and uncharged stealth BTZ black hole solutions.

hep-th↗

arXiv2025

On the consistency of non-commutative geometry inspired Reissner-Nordström black hole solution

We revisit the non-commutative geometry inspired Reissner-Nordström black hole solution obtained by smearing the point sources with a Gaussian distribution. We show that while the form of the metric function and the physical properties derived from that remain valid, not all the components of Einstein equations are satisfied. We construct an improved energy-momentum tensor that consistently satisfies Einstein equations and show that it leads to a different prediction for the region where the strong energy condition is violated. For certain choice of parameters, our proposal predicts the violation of the energy condition outside the Cauchy horizon, which might be important for observational signatures.

gr-qc↗