Generalized second law of thermodynamics in the emergent universe for some viable models of f(T) gravity

Ghosh, Rahul; Pasqua, Antonio; Chattopadhyay, Surajit

doi:10.1140/epjp/i2013-13012-6

Cited by 28 publications

(13 citation statements)

References 34 publications

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“…[23]. We also want to mention here that our results are consistent with the general relativity [38] and previous studies [39][40][41][42][43][44] published in literature.…”

Section: Final Remarkssupporting

confidence: 92%

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Kaluza–Klein nature of entropy function

2015

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“…[23]. We also want to mention here that our results are consistent with the general relativity [38] and previous studies [39][40][41][42][43][44] published in literature.…”

Section: Final Remarkssupporting

confidence: 92%

“…[23], our result eqn. (42) describes the validity of the generalized second law correctly. Furthermore, taking into account the de Sitter scale factor a(t) ∼ e Ht with H = constant in equation (42), we finḋ S I +Ṡ L = 0 which corresponds to a reversible adiabatic expansion of the Universe.…”

Section: Thermodynamics In Kaluza-klein Theorymentioning

confidence: 98%

Kaluza–Klein nature of entropy function

2015

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“…Let us now study the second law of thermodynamics through the usual equilibrium description (see also [282,284,[304][305][306] and references therein for related investigations). In terms of all fluids that are enclosed by the horizon, the Gibbs equation reads as T H dS t = d (ρ t V ) + P t dV = V dρ t + (ρ t + P t ) dV .…”

Section: Second Lawmentioning

confidence: 99%

f(T) teleparallel gravity and cosmology

et al. 2016

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Over the past decades, the role of torsion in gravity has been extensively investigated along the main direction of bringing gravity closer to its gauge formulation and incorporating spin in a geometric description. Here we review various torsional constructions, from teleparallel, to Einstein-Cartan, and metric-affine gauge theories, resulting in extending torsional gravity in the paradigm of f (T ) gravity, where f (T ) is an arbitrary function of the torsion scalar. Based on this theory, we further review the corresponding cosmological and astrophysical applications. In particular, we study cosmological solutions arising from f (T ) gravity, both at the background and perturbation levels, in different eras along the cosmic expansion. The f (T ) gravity construction can provide a theoretical interpretation of the late-time universe acceleration, alternative to a cosmological constant, and it can easily accommodate with the regular thermal expanding history including the radiation and cold dark matter dominated phases. Furthermore, if one traces back to very early times, for a certain class of f (T ) models, a sufficiently long period of inflation can be achieved and hence can be investigated by cosmic microwave background observations, or alternatively, the Big Bang singularity can be avoided at even earlier moments due to the appearance of non-singular bounces. Various observational constraints, especially the bounds coming from the large-scale structure data in the case of f (T ) cosmology, as well as the behavior of gravitational waves, are described in detail. Moreover, the spherically symmetric and black hole solutions of the theory are reviewed. Additionally, we discuss various extensions of the f (T ) paradigm. Finally, we consider the relation with other modified gravitational theories, such as those based on curvature, like f (R) gravity, trying to enlighten the subject of which formulation, or combination of formulations, might be more suitable for quantization ventures and cosmological applications. Contents

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“…( ) gravity has gained significant attention in the literature with promising cosmological implications [56,[82][83][84][85][86][87]. In such theories, one can develop different cosmological models depending on the choice of function ( ).…”

Section: Discussionmentioning

confidence: 99%

Energy Conditions of Built-In Inflation Models inf(T)Gravitational Theories

Nashed

2015

Advances in High Energy Physics

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We examine the validity of energy conditions of built-in inflation models inf(T)gravitational theories. For this purpose, we formulate the inequalities of energy conditions by assuming the flat and nonflat Friedmann-Robertson-Walker (FRW) universe. We find the feasible constraints on the constants of integration and evaluate their possible ranges graphically for the consistency of these energy conditions for flat, closed, and open universes. We constrain the constants of integration for flat space-time from the inflation epoch while the closed and open universe constants are constrained from late universe.

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Generalized second law of thermodynamics in the emergent universe for some viable models of f(T) gravity

Cited by 28 publications

References 34 publications

Kaluza–Klein nature of entropy function

Kaluza–Klein nature of entropy function

f(T) teleparallel gravity and cosmology

Energy Conditions of Built-In Inflation Models inf(T)Gravitational Theories

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