Thermodynamics of an Evolving Lorentzian Wormhole with Entropy Corrections

Abstract

In this work, we study the generalized second law of thermodynamics (GSL) at the apparent horizon of an evolving Lorentzian wormhole. We obtain the expressions of thermal variables at the apparent horizon. Choosing the two well-known entropy functions i.e. power-law and logarithmic, we obtain the expressions of GSL. We have analyzed the GSL using a power-law form of scale factor $a(t)=a_0{t}^n$ and the special form of shape function $b(r)=\frac{b_0}{r}$. It is shown that GSL is valid in the evolving wormhole spacetime for both choices of entropies if the power-law exponent is small, but for large values of $n$, the GSL is satisfied at initial stage and after certain stage of the evolution of the wormhole, it violates.

7 pages, 3 figures

References in corpus (23)

• Traversable wormholes: Some simple examples
• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Wormhole geometries in modified teleparralel gravity and the energy conditions
• Power-law corrections to entanglement entropy of horizons
• Lessons from Classical Gravity about the Quantum Structure of Spacetime
• Exact Differential and Corrected Area Law for Stationary Black Holes in Tunneling Method
• Evolving wormhole geometries within nonlinear electrodynamics
• Entropy-Corrected Holographic Dark Energy
• N-dimensional static and evolving Lorentzian wormholes with cosmological constant
• Evolving Lorentzian wormholes supported by phantom matter and cosmological constant
• Generalized second law of thermodynamics for FRW cosmology with logarithmic correction
• Wormholes supported by phantom-like modified Chaplygin gas
• Correspondence between entropy-corrected holographic and Gauss-Bonnet dark energy models
• Wormhole dynamics in spherical symmetry
• Cosmic accelerated expansion and the entropy corrected holographic dark energy
• Evolving Lorentzian wormholes supported by phantom matter with constant state parameters
• Lovelock Thin-Shell Wormholes
• The generalized second law of thermodynamics and the nature of the Entropy Function
• Exact solutions of Brans-Dicke wormholes in the presence of matter
• Dynamics and Thermodynamics of (2+1)-Dimensional Evolving Lorentzian Wormhole
• Power-law entropy corrected new holographic scalar field models of dark energy with modified IR-cutoff
• Anisotropic Structures and Wormholes with Loop Quantum Gravity Holonomy Corrections
• Non-equilibrium thermodynamics of dark energy on the power-law entropy corrected apparent horizon

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• Quantum gravity correction to Hawking radiation of the 2+1 dimensional wormhole
• Thermodynamics of dynamical wormholes
• Thermodynamics of the Primordial Universe
• Thermodynamic Behavior of Time-Dependent Wormholes in Palatini $f(R)$ Gravity