Quantum Probe of Hořava-Lifshitz Gravity

Abstract

Particle probe analysis of the Kehagias - Sfetsos black hole spacetime of Ho% řava-Lifshitz gravity is extended to wave probe analysis within the framework of quantum mechanics. The timelike naked singularity that develops when $\omega M^2<1/2$, is probed with quantum fields obeying Klein-Gordon and Chandrasekhar-Dirac equations. Quantum field probe of the naked singularity has revealed that both the spatial part of the wave and the Hamiltonian operators of Klein-Gordon and Chandrasekhar-Dirac equations are essentially self-adjoint and thus, the naked singularity in the Kehagias - Sfetsos spacetime become quantum mechanically non - singular.

15 pages no figures, revised version with new title, accepted for publication in JMP

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Cited by in corpus (4)

• Neutron Star Structure in Hořava-Lifshitz Gravity
• Quantum Probe to the Higher Dimensional Yang-Mills Singularity
• Vanishing Compactness Gap and Fermionic Compact Dark Matter in Hořava-Lifshitz Gravity
• Directional Quantum Singularities in Curzon Spacetime