Eur. Phys. J. Plus (2017) 132: 161
https://doi.org/10.1140/epjp/i2017-11446-4

Regular Article

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

¹ T.C. Maltepe University, Faculty of Engineering and Natural Sciences, Istanbul, Turkey
² Department of Physics, Eastern Mediterranean University, G. Magusa, Mersin 10, North Cyprus, Turkey

^* e-mail: habib.mazhari@emu.edu.tr

Received: 1 February 2017
Accepted: 11 March 2017
Published online: 11 April 2017

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.