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arxiv: 1702.08220 · v2 · pith:3RVTTA62new · submitted 2017-02-27 · 🌀 gr-qc

Quantum Probe of Hov{r}ava-Lifshitz Gravity

classification 🌀 gr-qc
keywords quantumprobenakedsingularityanalysisava-lifshitzchandrasekhar-diracequations
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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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