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arXiv · 1702.08220

Quantum Probe of Ho\v{r}ava-Lifshitz Gravity

Ozay Gurtug·M. Mangut
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Abstract

Particle probe analysis of the Kehagias - Sfetsos black hole spacetime of Ho% \v{r}ava-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.

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Ozay Gurtug, M. Mangut. 2017-02-27. Quantum Probe of Ho\v{r}ava-Lifshitz Gravity. https://doi.org/10.1063/1.5001114

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