A study of generalized second law of thermodynamics in modified f(R) Horava–Lifshitz gravity

Abstract

We study the thermodynamics of the apparent, event and particle horizons in this modified gravity. We observe that under this gravity, the time derivative of total entropy stays at positive level and hence the generalized second law is validated.

Generalized second law of thermodynamics in f ( R , T ) $f(R,T)$ theory of gravity

“…Such an approach was applied in a number of other alternative cosmological models as one can check in (Ford and Roman 2001;Mohseni Sadjadi 2006;Setare 2007;Jamil et al 2010a;Jamil et al 2010b). In fact, GSL has been broadly investigated in alternative gravity theories (check Abdolmaleki et al 2014Herrera 2014Bamba et al 2013;Ghosh et al 2013;Chattopadhyay and Ghosh 2012;Mazumder and Chakraborty 2011;Karami et al 2011;Karami and Ghaffari 2010).…”

Reconstruction scenario in modified Horava-Lifshitz F(R) gravity with well-known scale factors

“…The pioneer framework of unification of inflation with DE in modified gravities has been provided by Nojiri and Odintsov (2003) in f (R) gravity, which was subsequently generalized to more realistic versions (Nojiri and Odintsov 2007;Cognola et al 2008). The singularity problem possesses importance which describes the early universe and it was investigated by Nojiri and Odintsov (2008).…”

“…By taking power-law F (R) model, Carloni et al (2010) evaluated FRW cosmology for finite time singularities and explained reductions of this gravity. Chattopadhyay and Ghosh (2012) have discussed the generalized second law of thermodynamics in this gravity and argued that it remains valid in quintessence phase.…”

Reconstruction of generalized ghost pilgrim dark energy in F ( R ˜ ) $F(\tilde{R})$ gravity

“…However, the reconstruction scenario in F (R) has been firstly explored by Carloni et al (2010). Then, Chattopadhyay and Ghosh (2012) have explored the generalized second law of thermodynamics and pointed out that it holds in quintessence phase in F (R) gravity. We have also made correspondence of different modified theories of gravity with dynamical DE models and calculated different cosmological parameters (Jawad et al 2013a(Jawad et al , 2013b(Jawad et al , 2013c(Jawad et al , 2013dJawad 2014aJawad , 2014bJawad , 2014cJawad andRani 2015a, 2015b).…”