Abstract

In the context of modified $f(R)$ gravity theory, we study time-dependent wormhole spacetimes in the radiation background. In this framework, we attempt to generalize the thermodynamic properties of time-dependent wormholes in $f(R)$ gravity. Finally, at event horizon, the rate of change of total entropy has been discussed.

Highlights

  • Open AccessWormholes, short cuts between otherwise distant or unconnected regions of the universe, have become a popular research topic since the influential paper of Morris and Thorne [1]

  • The expression in Equation (20) for the rate of change of total entropy at event horizon shows that the validity of the generalized second law of thermodynamics depends on the right hand side (r.h.s.) of the equation

  • We have reviewed the time-dependent wormholes in modified f ( R) gravity

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Summary

Introduction

Short cuts between otherwise distant or unconnected regions of the universe, have become a popular research topic since the influential paper of Morris and Thorne [1]. Cai and his collaborators made the major development by showing that the Einstein field equations evaluated at the apparent horizon can be expressed in the form of the first law of thermodynamics in various theories of gravity. This connection between gravity and thermodynamics has been extended in the braneworld cosmology [17] [18]. Hayward first introduced a formalism for defining thermal properties of black holes in terms of measurable quantities. Where dΩ=22 dθ 2 + sin θ dφ 2 is the line element of a two-dimensional unit sphere, a (t ) is the scale factor of the universe, b (r ) and Φ (t, r ) are the

Saiedi DOI
Thermodynamics at Event Horizon
Conclusion

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