Generalized Second Law of Thermodynamics of Evolving 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) = a0t n and the special form of shape function b(r) = 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.

Thermodynamic Behavior of Time-Dependent Wormholes in Palatini $f(R)$ Gravity

“…The expression (33) shows that the generalized second law (GSL) of thermodynamics is fulfilled in Palatini formalism of modified f (R) gravity if the right hand side (r.h.s.) of the equation ( 33) is positive.…”

“…In this frame work, Y. Zheng and R. Yang have studied the horizon thermodynamics for black hole geometry [32]. The thermodynamics of an evolving lorentzian wormhole with entropy correction has been also discussed in [33]. Additionally, in f (T, T G ) gravity, the generalized second law of thermodynamics has been investigated by Zubair and Jawad [34].…”

Thermodynamics of dynamical wormholes

“…These kinds of analyses will improve the physical status of wormholes greatly [20,21]. The thermodynamic properties of evolving wormholes have been studied in literature at event horizons and apparent horizons [22][23][24].…”

Quantum Gravity Correction to Hawking Radiation of the 2+1-Dimensional Wormhole

“…Furthermore, in the presence of the GUP effect, it was observed that the particles with spin (spin-0, 1/2, and 1) are differently tunneled from a black hole, and therefore, they caused completely different Hawking temperatures [63][64][65][66][67][68]. However, while the black hole thermodynamic is intensively studied in the literature, there are few studies that deal with thermodynamic properties of wormholes [69][70][71][72][73][74][75][76][77][78]. The existence of a trapped horizon would allow the use of semiclassical approaches such as the Hamilton-Jacobi approach based on the tunneling of particles for investigation of the thermodynamic properties of a wormhole.…”