Casimir effect in 2+1 Horava gravity

TL;DR

This paper investigates the Casimir effect for a scalar field in a 2+1 dimensional flat cone spacetime within Horava gravity, analyzing how the force varies with anisotropic scaling, particle mass, and temperature.

Contribution

It provides a novel analysis of the Casimir effect in 2+1 Horava gravity, considering temperature effects and the influence of anisotropic scaling.

Findings

Casimir force depends on anisotropic scaling z

Force varies with the mass of the point particle

Temperature significantly affects the Casimir force

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.