Corrected entropy of Friedmann-Robertson-Walker universe in tunneling method

Journal Article · Sat Aug 01 04:00:00 EDT 2009 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2009/08/010· OSTI ID:22273218

Zhu, Tao; Ren, Ji-Rong; Li, Ming-Fan ^[1]

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1. Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000 (China)

In this paper, we study the thermodynamic quantities of Friedmann-Robertson-Walker (FRW) universe by using the tunneling formalism beyond semiclassical approximation developed by Banerjee and Majhi [25]. 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 (4.39) 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.

• OSTI ID: 22273218
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 08 Vol. 2009; ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
BLACK HOLES
COSMOLOGICAL MODELS
COSMOLOGY
ENTROPY
FERMIONS
GRAVITATION
SCALARS
SEMICLASSICAL APPROXIMATION
SPACE-TIME
TENSORS
THERMODYNAMICS
TUNNEL EFFECT
UNIVERSE