2018
DOI: 10.1063/1.5001114
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Quantum probe of Hořava-Lifshitz gravity

Abstract: Particle probe analysis of the Kehagias -Sfetsos black hole spacetime of Hořava-Lifshitz gravity is extended to wave probe analysis within the framework of quantum mechanics. The timelike naked singularity that develops when ωM 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… Show more

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Cited by 2 publications
(2 citation statements)
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References 34 publications
(54 reference statements)
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“…It is shown that the quantum Friedmann-Lemaitre-Robertson-Walker universe, which is non-asymptotically flat and filled with radiation in the context of Horava-Lifshitz gravity is quantum mechanically regular. A similar result is obtained in a black hole solution that admits naked singularity in Horava-Lifshitz gravity in [37].…”
Section: Introductionsupporting
confidence: 79%
“…It is shown that the quantum Friedmann-Lemaitre-Robertson-Walker universe, which is non-asymptotically flat and filled with radiation in the context of Horava-Lifshitz gravity is quantum mechanically regular. A similar result is obtained in a black hole solution that admits naked singularity in Horava-Lifshitz gravity in [37].…”
Section: Introductionsupporting
confidence: 79%
“…For a solar mass KS black hole, its horizon exists only if ω ≥ ω c ≈ 2.293 × 10 −11 cm −2 . In quantum regime, however, KS geometry turns out to be regular [32], which may safely avoid the naked singularity problem. Now, we can rewrite Eq.…”
mentioning
confidence: 99%