General Relativity at an interface

TL;DR

This paper introduces a toy model linking thermodynamics and general relativity, deriving Einstein's equations and a simple cold dark matter expression from thermodynamic balance at space-time interfaces.

Contribution

It presents a novel thermodynamic approach to deriving Einstein's equations and modeling dark matter effects at space-time interfaces.

Findings

Derivation of Einstein's equations from thermodynamic balance.

A simple expression for cold dark matter.

Insight into the thermodynamic interpretation of space-time interfaces.

Abstract

In this work a simple toy model for a free interface between bulk phases in space and time is presented, derived from the balance equations for extensive thermodynamic variables of Meinhold-Heerlein. In this case the free interface represents geodesics in the space-time, allowing the derivation of the Einstein's equations for gravitational fields. The effect of the balance equation is examined and a simple expression for cold dark matter is derived. The thermodynamically meaning of this model is also discussed.