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Non-Extensive Thermodynamics Effects in the Cosmology of f(T) Gravity

2021
*
Symmetry
*

quantifies

doi:10.3390/sym13010075
fatcat:oplzqhsql5clldqzphbzatmyvy
*the**non*-*extensive**thermodynamics**effects*quantified by*the*parameter δ, which when is set equal to unity, one recovers*the*field equations*of**f*(*T*)*gravity*. ... Using*f*(*T*) gravitational theory, we construct modified*cosmological*models via*the*first law*of**thermodynamics*by using*the**non*-*extensive**thermodynamics*framework,*the**effects**of*which are captured by ... Conflicts*of*Interest:*The*authors declare no conflict*of*interest. ...##
###
Cosmological reconstruction of f(T, 𝒯) gravity

2014
*
International Journal of Geometric Methods in Modern Physics (IJGMMP)
*

Motivated by

doi:10.1142/s0219887814500777
fatcat:4maaeno7rrfnlfr5w2kgypxhlu
*the*newly proposal for*gravity*as*the**effect**of**the*torsion scalar*T*and trace*of**the*energy momentum tensor*T*,we investigate*the**cosmological*reconstruction*of*different models*of**the*Universe ... Our aim here is to show that how this modified*gravity*model,*f*(*T*,*T*) is able to reproduce different epoches*of**the**cosmological*history. ... Saridakis for useful comments and*the*anonymous reviewer for enlightening comments related to this work. ...##
###
f(Q, T) gravity

2019
*
European Physical Journal C: Particles and Fields
*

We propose an

doi:10.1140/epjc/s10052-019-7207-4
fatcat:3qtb5x53oba2llgaqv6x6dsqei
*extension**of**the*symmetric teleparallel*gravity*,*in*which*the*gravitational action L is given by an arbitrary function*f**of**the*nonmetricity Q and*of**the*trace*of**the*matter energy-momentum ... We consider several*cosmological*models by imposing some simple functional forms*of**the*function*f*(Q,*T*), corresponding to additive expressions*of**f*(Q,*T*)*of**the*form*f*(Q,*T*)=α Q+β*T*,*f*(Q,*T*)=α Q^n+1+β*T*, ... Data Availability Statement This manuscript has no associated data or*the*data will not be deposited [Authors' comment: There are no data for this study.] ...##
###
Growth factor inf(T,T)gravity

2016
*
Physical Review D
*

We investigate

doi:10.1103/physrevd.94.124004
fatcat:4dqpcxabifcanancx5lsmxcyq4
*the*growth factor for sub-horizon modes during late times*in**f*(*T*,*T*)*gravity*, where*T*is*the*torsion scalar and*T*is*the*trace*of**the*stress-energy tensor. ... Furthermore,*the*role*of**the*anisotropic term π^S is investigated. ...*The*research work disclosed*in*this paper is partially funded by*the*ENDEAVOUR Scholarships Scheme. ...##
###
Constrainingf(T,T)gravity models using type Ia supernovae

2016
*
Physical Review D
*

We present an analysis

doi:10.1103/physrevd.94.024034
fatcat:ypohoe2i2rgvrhdqpi2c5tsarm
*of*an*f*(*T*,*T*)*extension**of**the*Teleparallel Equivalent*of*General Relativity, where*T*denotes*the*torsion and*T**the*trace*of**the*energy-momentum tensor. ...*In*particular, we construct two specific models that recover*the*usual continuity equation, namely,*f*(*T*,*T*)=*T*+g(*T*) and*f*(*T*,*T*)=*T*× g(*T*). ...*In*fact,*f*(*T*)*gravity*theories have been explored*in*a wide variety*of*aspects, namely alternative*cosmological*models [10] , observational constraints [11] ,*thermodynamics*[12] , static solutions ...##
###
Reconstruction, thermodynamics and stability of the ΛCDM model in $f(T,{ \mathcal T })$ gravity

2016
*
Classical and quantum gravity
*

We reconstruct

doi:10.1088/0264-9381/33/12/125006
fatcat:asyb6xkr3zepvjgdumxy7pp4d4
*the*ΛCDM model for*f*(*T*,*T*) Theory, where*T*is*the*torsion scalar and*T**the*trace*of**the*energy-momentum tensor. ... We show that to maintain conservation*of*energy-momentum tensor should impose that F_g[y] must be linear on*the*trace*T*. This reconstruction decays*in**the**f*(*T*) Theory for F_g≡ Q, with Q a constant. ...*Ines*G. Salako thanks IMSP for hospitality during*the*elaboration*of*this work. ...##
###
Cosmological Issues in F(T) Gravity Theory
[article]

2015
*
arXiv
*
pre-print

We explore various

arXiv:1504.04457v2
fatcat:7imvp4tmqjfdhk3vgze7c4335m
*cosmological*aspects*of**F*(*T*)*gravity*including*the*evolution*of**the*equation*of*state for*the*universe, finite-time future singularities,*thermodynamics*, and four-dimensional*effective*... We review recent developments on*cosmology**in*extended teleparallel*gravity*, called "*F*(*T*)*gravity*" with*T**the*torsion scalar*in*teleparallelism. ... Furthermore, he is really grateful to all*of**the*collaborators*of*our studies*in*terms*of**F*(*T*)*gravity*, especially, all*the*co-authors*of**the*works*in*Refs. ...##
###
Energy-momentum squared symmetric Teleparallel gravity: f(Q,T_μνT^μν) gravity
[article]

2021
*
arXiv
*
pre-print

*In*this work we propose

*the*

*f*(Q,T_μν

*T*^μν)

*gravity*as a further

*extension*

*of*

*the*

*f*(Q) and

*f*(Q,

*T*)

*gravity*theories. ...

*The*action involves an arbitrary function

*of*

*the*

*non*-metricity Q and T_μν

*T*^μν

*in*

*the*

*gravity*Lagrangian. ... Acknowledgments

*The*author acknowledges

*the*Inter University Centre for Astronomy and Astrophysics (IUCAA), Pune, India for granting visiting associateship. ...

##
###
Non-minimal geometry-matter couplings in Weyl-Cartan space-times: Myrzakulov f(R,T,Q,T) gravity
[article]

2021
*
arXiv
*
pre-print

A

arXiv:2110.00358v1
fatcat:fxvs7cg4ibbtbjtjhc5sz5l56i
*thermodynamic*interpretation*of**the*nonconservation*of**the*energy-momentum tensor is also developed*in**the*framework*of**the**thermodynamics**of**the*irreversible processes*in*open systems. ... We investigate*the**cosmological*implications*of**the*theory for two different choices*of**the*gravitational action, corresponding to an additive and a multiplicative algebraic structure*of**the*function*f*...*The*action*of**the*theory is given by S = [*f*(R,*T*) + L m ] √ −gd 4 x.*The*astrophysical and*cosmological*applications*of**f*(R,*T*) theory were studied*extensively**in*. ...##
###
Friedmann cosmology with particle creation in modified f(R,T) gravity
[article]

2014
*
arXiv
*
pre-print

*The*theoretical and observational consequences

*of*

*thermodynamics*

*of*open systems, which allow particle creation are investigated

*in*modified

*f*(R,

*T*) (R is

*the*Ricci scalar and

*T*is

*the*trace

*of*energy-momentum ... A simplest particular model

*f*(R,

*T*)=R+2f(

*T*) and "gamma-law" equation

*of*state p=(γ-1)ρ are assumed to explore

*the*role

*of*particle creation

*in*

*the*early and late time evolution

*of*

*the*universe. ... Sharif and Zubair 63 have discussed a

*non*-equilibrium

*thermodynamics*

*in*

*f*(R,

*T*)

*gravity*by taking two forms

*of*

*the*energy-momentum tensor

*of*dark components which endorses second law

*of*

*thermodynamics*...

##
###
Energy conditions in f(Q,T) gravity

2020
*
Physica Scripta
*

*The*recently proposed

*f*(Q,

*T*)

*gravity*(Xu et al. Eur. Phys. J. C 79 (2019) 708) is an

*extension*

*of*

*the*symmetric teleparallel

*gravity*. ...

*In*this paper, we examined

*the*essence

*of*some well prompted forms

*of*

*f*(Q,

*T*)

*gravity*models i.e.

*f*(Q,

*T*)= mQ+bT and

*f*(Q,

*T*)= m Q^n+1+b

*T*where m, b, and n are model parameters. ...

*The*coupling between Q and

*T*results

*in*

*the*

*non*-conservation

*of*

*the*energy-momentum tensor, which entails some significant

*thermodynamic*change

*of*

*the*Universe as

*in*

*f*(R,

*T*)

*gravity*[6] . ...

##
###
Bulk viscosity in F(T, TG) gravity

2017
*
Canadian journal of physics (Print)
*

Concluding Remarks

doi:10.1139/cjp-2016-0785
fatcat:h7ag2ivynnfk5lk3d2kjrqnctu
*In**cosmology*, viscous fluid models have*extensively*been considered to explore expanding nature*of**the*universe. ... Many dark energy models have been discussed*in**F*(G)*gravity*as well [17, 18] .*In*this paper, we evaluate*the*EoS parameter by introducing bulk viscosity*in**the*background*of**F*(*T*,*T*G )*gravity*. ...##
###
Further matters in space-time geometry:f(R,T,RμνTμν)gravity

2013
*
Physical Review D
*

We consider a gravitational model

doi:10.1103/physrevd.88.044023
fatcat:6jlmaljyfjbklesay5lwxhofsu
*in*which matter is*non*-minimally coupled to geometry, with*the**effective*Lagrangian*of**the*gravitational field being given by an arbitrary function*of**the*Ricci scalar ...*The**cosmological*implications*of**the*model are investigated for both*the*conservative and*non*-conservative cases, and several classes*of*analytical solutions are obtained. ...*The*astrophysical and*cosmological*implications*of**the**f*(R,*T*)*gravity*theory have been*extensively*investigated recently [32] . ...##
###
Holographic polytropic f(T)-gravity models
[article]

2015
*
arXiv
*
pre-print

*The*present paper reports a study on

*the*

*cosmological*consequences arising from reconstructing

*f*(

*T*)

*gravity*through new holographic-polytropic dark energy. ... We obtain

*the*deceleration parameter,

*effective*equation

*of*state as well as torsion equation

*of*state parameters from total density and pressure

*in*both cases. ... However,

*the*maximum entropy

*in*a box possessing volume L 3 (growing with

*the*area

*of*

*the*box) behaves

*non*-

*extensively*

*in*

*the*framework

*of*BH

*thermodynamics*so called Bekenstein entropy bound. ...

##
###
Violation of the First Law of Thermodynamics inf(R,T) Gravity

2012
*
Chinese Physics Letters
*

We have proved,

doi:10.1088/0256-307x/29/10/109801
fatcat:nf6wekdffragbh7mmm3ec3eqve
*in*general, that*the*first law*of*black bole*thermodynamics*is violated for*f*(R,*T*)*gravity*. ... But there might exist some special cases*in*which*the*first law for*f*(R,*T*)*gravity*is recovered. ... This model is an*extension**of*a former model*f*(R).*In*this*extension*, there is a*non*-minimally coupling between*the*Ricci scalar R and*the*trace*of**the*energy-momentum tensor. ...
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