2015
DOI: 10.1007/s10714-015-1913-5
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A study of Universal thermodynamics in Lanczos–Lovelock gravity

Abstract: A study of Universal thermodynamics is done in Lanczos-Lovelock gravity. The Universe is chosen as FRW model bounded by apparent or event horizon. The unified first law is examined, assuming extended Hawking temperature on the horizon. As a result there is a modification of Bekenstein entropy on the horizons. Further the validity of generalized second law of thermodynamics and thermodynamical equilibrium are also investigated for perfect fluid (with constant equation of state), modified chaplygin gas model and… Show more

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Cited by 10 publications
(14 citation statements)
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“…As the projection of the pure matter energy supply Aψ m along the apparent horizon gives the heat flow δQ in the Clausius relation δQ = T dS, so from the above equation (42) we obtain [32][33][34][35][36][37][38][39][40]…”
Section: Universal Thermodynamics In Rastall Theory Of Gravitymentioning
confidence: 99%
“…As the projection of the pure matter energy supply Aψ m along the apparent horizon gives the heat flow δQ in the Clausius relation δQ = T dS, so from the above equation (42) we obtain [32][33][34][35][36][37][38][39][40]…”
Section: Universal Thermodynamics In Rastall Theory Of Gravitymentioning
confidence: 99%
“…Finally, based on approach [51], it seems that their proposal for the apparent horizon entropy is independent of any interaction between the cosmos sectors. It is also worthy to note that the mutual interaction between the geometrical (T e µν ) and non-geometrical (T m µν ) sectors of cosmos in various modified theories of gravity, affect the apparent horizon entropy [33][34][35][36]. In fact, depending on the scales, it is such a curvature fluid which may play the role of dark energy.…”
Section: A Non-interacting Casementioning
confidence: 99%
“…give a positive answer to this expectation and show that such geometrical fluids and their interaction with other parts of cosmos may also affect the horizon entropy of FRW universe [33][34][35][36].…”
Section: Introductionmentioning
confidence: 98%
“…It is seen that this equation is similar to the Clausius relation δQ = T dS for a dynamical black hole. Recently, Mitra et al [28][29][30] examined the unified first law (equation above) for different gravity theories in a FRW universe model that is bounded by an apparent horizon or event horizon. However, Zubair and Jawad [31] obtained the generalized second law of gravitational thermodynamics (GSLT) inequality for F (T , T G ) gravity theory.…”
Section: Introductionmentioning
confidence: 99%