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arXiv · 1703.05315

Classical and quantum analysis of an Einstein-Scalar solution in $2+1$ dimensions

O. Gurtug·S. Habib Mazharimousavi·M. Halilsoy
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Abstract

The classical and quantum properties of a new solution obtained in $2+1$% -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.

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O. Gurtug, S. Habib Mazharimousavi, M. Halilsoy. 2017-03-15. Classical and quantum analysis of an Einstein-Scalar solution in $2+1$ dimensions. https://doi.org/10.1140/epjp%2Fi2017-11446-4

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