Hawking Like radiation from the Dynamic horizon in Lemaitre-Tolman-Bondi Model of the Universe : Quantum Prescription

TL;DR

This paper investigates Hawking-like radiation from a dynamic horizon in an inhomogeneous universe model, deriving quantum-corrected temperature using Hamilton-Jacobi and null geodesic methods, linking black hole thermodynamics to cosmology.

Contribution

It introduces a quantum-corrected temperature calculation for the LTB universe model, extending black hole thermodynamics to inhomogeneous cosmological settings.

Findings

Quantum corrections to Hawking-like temperature derived

Semiclassical temperature matches null geodesic method results

Application of black hole thermodynamics to inhomogeneous universe models

Abstract

Recent progress of black hole thermodynamics due to Hawking radiation has been applied to universal thermodynamics with universe as inhomogeneous LTB model. Hawking-like temperature with quantum corrections has been evaluated using HJ method and the semiclassical part of the temperature coincides with that formulated in radial null geodesic method.