On the Coupling of Matter and Gravity to the Boundary of Space-Time

TL;DR

This paper explores how matter and gravity can be coupled at the boundary of space-time using specific boundary conditions, with implications for phenomena like the Casimir effect.

Contribution

It introduces a formalism for coupling matter and gravity at space-time boundaries under certain boundary conditions, linking to the Casimir effect.

Findings

Coupling of matter and gravity at space-time boundaries established.

Boundary conditions crucial for the coupling mechanism.

Connection to Casimir effect discussed.

Abstract

We show that under certain boundary conditions on the matter fields and on the fluctuations of the background metric the gravity-matter system can be coupled to the boundary of space-time through the stress-energy tensor. The connection of the formalism developed to the Casimir effect is discussed.