Classical and quantum evolution of non-isentropic hot singular layers in finite-temperature general relativity

TL;DR

This paper extends the theory of spherically symmetric matter layers in general relativity to include nonconstant surface entropy and finite temperature, proposing a minisuperspace model and Wheeler-DeWitt quantization.

Contribution

It introduces a generalized model for hot, non-isentropic layers in general relativity and applies quantum cosmology techniques to analyze their behavior.

Findings

Generalized the theory to nonconstant surface entropy and finite temperature.

Proposed a minisuperspace model for temperature evolution.

Performed Wheeler-DeWitt quantization of the system.

Abstract

The spherically symmetric layer of matter is considered within the frameworks of general relativity. We perform generalization of the already known theory for the case of nonconstant surface entropy and finite temperature. We also propose the minisuperspace model to determine the behaviour of temperature field and perform the Wheeler-DeWitt quantization.