Casimir effect in Post-Newtonian Gravity with Lorentz-violation

TL;DR

This paper investigates the Casimir effect within the Standard Model Extension framework, calculating vacuum energy and pressure corrections due to Lorentz violation in a weak gravitational field, and proposes a new constraint on Lorentz-violating parameters.

Contribution

It provides the first calculation of Casimir energy and pressure corrections in SME with Lorentz violation, offering potential new bounds on Lorentz-violating parameters.

Findings

Derived constraints on Lorentz-violating parameter s00 from Casimir energy.

Calculated gravitational corrections to Casimir pressure in SME.

Results applicable beyond point-like gravitational sources.

Abstract

We study the Casimir effect in the framework of Standard Model Extension (SME). Employing the weak field approximation, the vacuum energy density {\epsilon} and the pressure for a massless scalar field confined between two nearby parallel plates in a static spacetime background are calculated. In particular, through the analysis of {\epsilon}, we speculate a constraint on the Lorentz-violating term s00 which is lower than the bounds currently available for this quantity. After that, the correction to the pressure given by the gravitational sector of SME is presented. Finally, we remark that our outcome has an intrinsic validity that goes beyond the treated case of a point-like source of gravity.