Casimir effect in 2+1 Horava gravity

Abstract

We study the Casimir effect of a membrane embedded in 2+1 dimensions flat cone generated by a massive particle located at the origin of the coordinate system. The flat cone is an exact solution of the nonprojectable Horava theory, similar to general relativity. We consider a scalar field satisfying Dirichlet boundary conditions, and regularize the spectrum using the $\zeta$--function technique. In addition, we include the effects of temperature in our analysis. Our results show that the Casimir force depends on three factors: the anisotropic scaling z, the mass of the point particle, and the temperature.

minor correction in introduction

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Cited by in corpus (4)

• Casimir effect of a rough membrane in 2+1 Horava-Lifshitz theory
• Casimir effect of a rough membrane in an Aether-like Lorentz-violating scenario
• Casimir Effect of rough plates under a magnetic field in Hořava-Lifshitz theory
• One-Loop Quantum Corrections to the Casimir Effect for Smoothly Rough Plates in the Low-Temperature Regime