Casimir Effect in the Horava-Lifshitz Gravity with a Cosmological Constant
arXiv:1405.5424 · doi:10.1016/j.aop.2015.04.014
Abstract
We calculate the Casimir energy of a massless scalar field confined between two nearby parallel plates formed by ideal uncharged conductors, placed tangentially to the surface of a sphere with mass M and radius R. To this end, we take into account a static and spherically symmetric solution of Hořava-Lifshitz (HL) gravity, with a cosmological constant term, in lower orders of approximation, considering both weak-field and infrared limits. We show that the Casimir energy, just in the second order weak-field approximation, is modified due to the parameter of the HL gravity as well as to the cosmological constant.
18 pages. Improved conclusions. One figure and several references added. To appear in Annals of Physics
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- An UV Completion of Five Dimensional Scalar QED and Lorentz Symmetry
- Casimir effect of a rough membrane in an Aether-like Lorentz-violating scenario
- Quantum vacuum under mixed boundary conditions: the case for curved spacetime
- Quasi-local stress-tensor formalism and the Casimir effect
- One-Loop Quantum Corrections to the Casimir Effect for Smoothly Rough Plates in the Low-Temperature Regime