Classical and quantum analysis of an Einstein-Scalar solution in $2+1$ dimensions
Abstract
The classical and quantum properties of a new solution obtained in % -dimensional gravity coupled with a real scalar field is analyzed in detail. The considered new solution is a one-parameter generalization of a previously known solution. We investigate the solution classically by calculating exact null and null circular geodesics which correspond to a typical particle probe of the correspondsing black hole spacetime. The solution admitting naked singularity is investigated within the context of quantum mechanics. The timelike naked singularity is probed with spin-zero and spin-half quantum particles. We show that the curvature singularity in the new solution is stronger and hence in general the spacetime remains quantum singular with respect to a quantum particle probe.
Cite
@article{arxiv.1703.05315,
title = {Classical and quantum analysis of an Einstein-Scalar solution in $2+1$ dimensions},
author = {O. Gurtug and S. Habib Mazharimousavi and M. Halilsoy},
journal= {arXiv preprint arXiv:1703.05315},
year = {2017}
}
Comments
12 pages one figure, final version accepted for publication in EPJP