Quantum Interference Effects in Horava-Lifshitz Gravity
arXiv:1008.4464 · doi:10.1142/S0217732310034328
Abstract
The relativistic quantum interference effects in the spacetime of slowly rotating object in the Hořava-Lifshitz gravity as the Sagnac effect and phase shift of interfering particle in neutron interferometer are derived. We consider the extension of Kehagias-Sfetsos (KS) solution~\cite{ks09} in the Hořava-Lifshitz gravity for the slowly rotating gravitating object. Using the covariant Klein-Gordon equation in the nonrelativistic approximation, it is shown that the phase shift in the interference of particles includes the gravitational potential term with the KS parameter . It is found that in the case of the Sagnac effect, the influence of the KS parameter is becoming important due to the fact that the angular velocity of the locally non rotating observer is increased in Hořava gravity. From the results of the recent experiments~\cite{holgeretal} we have obtained lower limit for the coupling KS constant as . Finally, as an example, we apply the obtained results to the calculation of the UCN (ultra-cold neutrons) energy level modification in the gravitational field of slowly rotating gravitating object in the Hořava-Lifshitz gravity.
13 pages, 1 figure, accepted for publication in Modern Physics Letter A
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- Particle motion in Horava-Lifshitz black hole space-times
- Perfect fluid tori orbiting Kehagias-Sfetsos naked singularities
- Hořava's quantum gravity illustrated by embedding diagrams of the Kehagias-Sfetsos spacetimes
- Magnetic Field of a Compact Spherical Star under f(R,T) Gravity
- Quantum Probe of Hořava-Lifshitz Gravity