Quantum Singularities in (2+1) Dimensional Matter Coupled Black Hole Spacetimes

ABSTRACT: Quantum singularities are considered in matter coupled 2+1 dimensional spacetimes in Einstein’s theory. The occurrence of naked singularities in the spacetimes both in linear and non-linear electrodynamics in Einstein-Maxwell as well as in the Einstein-Maxwell-Dilaton gravity and pure magnetic Einstein-Power-Maxwell theory are considered. It is shown that the inclusion of the matter fields changes the geometry. The classical central singularity at turns out to be quantum mechanically singular for quantum particles obeying Klein-Gordon equation but nonsingular for fermions obeying Dirac equation in all space times except the class of static pure magnetic spacetime. The physical properties of the 2+1 dimensional magnetically charged solutions in Einstein-Power-Maxwell theory with particular power of the Maxwell field are investigated. The true timelike naked curvature singularity develops when which constitutes one of the striking effects of the power Maxwell field. For specific power parameter, the occurrence of timelike naked singularity is analysed in quantum mechanical point of view. It is shown that the class of static pure magnetic spacetime in the power Maxwell theory is quantum mechanically singular when it is probed with fields obeying Klein-Gordon and Dirac equations in the generic case. Keywords: Quantum singularity, naked singularity, 2+1 dimensional spacetimes. ……………………………………………………………………………………………………………………………………………………………………………………………………………………