Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-05-12
JCAP 0908:010,2009
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, no figure, and comments are welcome; v2:27 pages, more references added and typoes corrected, accepted for publicati
Scientific paper
10.1088/1475-7516/2009/08/010
In this paper, we study the thermodynamic quantities of Friedmann-Robertson-Walker (FRW) universe by using the tunneling formalism beyond semiclassical approximation developed by \emph{Banerjee} and \emph{Majhi}\cite{beyond0}. For this we first calculate the corrected Hawking-like temperature on apparent horizon by considering both scalar particle and fermion tunneling. With this corrected Hawking-like temperature, the explicit expressions of the corrected entropy of apparent horizon for various gravity theories including Einstein gravity, Gauss-Bonnet gravity, Lovelock gravity, $f(R)$ gravity and scalar-tensor gravity, are computed. Our results show that the corrected entropy formula for different gravity theories can be written into a general expression (\ref{entropy-final}) of a same form. It is also shown that this expression is also valid for black holes. This might imply that the expression for the corrected entropy derived from tunneling method is independent of gravity theory, spacetime and dimension of the spacetime. Moreover, it is concluded that the basic thermodynamical property that the corrected entropy on apparent horizon is a state function is satisfied by the FRW universe.
Li Ming-Fan
Ren Ji-Rong
Zhu Tianfei
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