Thermodynamics of Evolving Lorentzian Wormholes at Apparent Horizon in $f(R)$ Theory of Gravity

Abstract

In the context of modified $f(R)$ gravity, we attempt to study the thermodynamic properties of the evolving Lorentzian wormholes at the apparent horizon. It is shown that the wormhole can be derived from a particular $f(R)$ model in the radiation background. Moreover, it has been shown that the field equations can be cast to a similar form $dE=TdS+WdV+Td\bar{S}$ at the apparent horizon for the evolving Lorentzian wormhole. Compared to the case of Einstein's general relativity, an additional term $Td\bar{S}$ appears here.

9 pages, Modern Physics Letters A. Vol. 27, No. 38 (2012). arXiv admin note: text overlap with arXiv:1011.5703, arXiv:0911.2556 by other authors

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Cited by in corpus (3)

• Wormhole Modeling Supported by Non-Exotic Matter
• Scalar and Electromagnetic Quasinormal modes of Extended black hole in F(R) gravity
• Thermodynamic Behavior of Time-Dependent Wormholes in Palatini $f(R)$ Gravity