Abstract
Recently, a Hamilton–Jacobi method beyond the semiclassical approximation in black hole physics was developed by Banerjee and Majhi. We generalize their analysis of black holes to the case of a 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 the apparent horizon for the FRW universe are also obtained. In the corrected entropy, the area law involves a logarithmic area correction together with the standard term with the inverse power of the area.
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Zhu, T., Ren, JR. Corrections to Hawking-like radiation for a Friedmann–Robertson–Walker universe. Eur. Phys. J. C 62, 413–418 (2009). https://doi.org/10.1140/epjc/s10052-009-1044-9
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DOI: https://doi.org/10.1140/epjc/s10052-009-1044-9