Hawking-like radiation from the apparent horizon in an FRW Universe : Quantum Corrections

TL;DR

This paper investigates Hawking-like radiation in a Friedmann-Robertson-Walker universe using semi-classical tunnelling and Hamilton-Jacobi methods, including quantum corrections to temperature and entropy.

Contribution

It introduces quantum corrections to Hawking-like radiation in an FRW universe and demonstrates the coordinate independence of the Hamilton-Jacobi formalism.

Findings

Hawking-like temperature calculated for the apparent horizon.

Quantum corrections to temperature and entropy derived.

Hamilton-Jacobi method shown to be coordinate-independent.

Abstract

In this paper we study Hawking-like radiation in a FRW-Universe using semi-classical tunnelling approach and the Hamilton-Jacobi method. Radial null geodesics are used to picture the process as a "tunnelling" of particles from behind the apparent horizon and Hawking -like temperature has been calculated. Quantum corrections have been evaluated in the Hamilton-Jacobi Method by solving Klein-Gordan wave equation and the temperature agrees at the semiclassical level. Also it is found that Hamilton-Jacobi formalism does not depend on the choice of the coordinate system. Finally, leading order corrections to entropy has been calculated.