Corrections to Hawking-like Radiation for a Friedmann-Robertson-Walker Universe

TL;DR

This paper extends a Hamilton-Jacobi method to analyze quantum corrections to Hawking-like radiation in FRW universes, revealing logarithmic and inverse area corrections to entropy and temperature.

Contribution

It generalizes a black hole quantum correction method to cosmological horizons, providing new insights into entropy and temperature corrections in FRW universes.

Findings

Quantum corrections are proportional to semiclassical contributions.

Logarithmic and inverse area terms appear in corrected entropy.

Hawking-like temperature and entropy receive specific quantum modifications.

Abstract

Recently, a Hamilton-Jacobi method beyond semiclassical approximation in black hole physics was developed by \emph{Banerjee} and \emph{Majhi}\cite{beyond0}. In this paper, we generalize their analysis of black holes to the case of Friedmann-Robertson-Walker (FRW) universe. It is shown that all the higher order quantum corrections in the single particle action are proportional to the usual semiclassical contribution. The corrections to the Hawking-like temperature and entropy of apparent horizon for FRW universe are also obtained. In the corrected entropy, the area law involves logarithmic area correction together with the standard inverse power of area term.