Cosmological applications of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>F</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>gravity

Kofinas, Georgios; Saridakis, Emmanuel N.

doi:10.1103/physrevd.90.084045

Cited by 147 publications

(180 citation statements)

References 94 publications

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“…In a recent paper [27], teleparallel equivalent of Gauss-Bonnet theory has been proposed involving a new torsion scalar T G , where, in Levi-Civita connection, the Gauss-Bonnet term is defined by…”

Section: F (T T G ) Gravitymentioning

confidence: 99%

“…To illustrate the validity of GSLT in f (T, T G ) gravity, we consider some generic f (T, T G ) models of the following form [27] 1.…”

Section: Gslt In F (T T G ) Gravitymentioning

confidence: 99%

“…In this study, we are interested to explore laws of thermodynamics in f (T, T G ) gravity which is a more generic modified theory involving torsion and Gauss-Bonnet contributions [27]. In previous studies, we have explored the issue of equilibrium thermodynamics in f (R, T ) [29], f (R, L m ) [30] and f (R, T, R µν T µν ) [31] theories of gravity.…”

Section: Introductionmentioning

confidence: 99%

“…We [25,26] have discussed the validity of energy bounds and GSLT for specific models and find the feasible constraints on the involved free parameters. Kofinas and Saridakis [27] proposed a novel theory namely f (T G ) gravity and then its generalized form f (T, T G ) gravity and they also discussed its cosmological significance. Recently, we have discussed the energy condition bounds in this modified gravity and tested two well known models [28] which are proposed in [27].…”

Section: Introductionmentioning

confidence: 99%

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Generalized second law of thermodynamics in f ( T , T G ) $f(T,T_{G})$ gravity

Zubair

Jawad

2015

Astrophys Space Sci

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An equilibrium picture of thermodynamics is discussed at the apparent horizon of FRW universe in f (T, T G ) gravity, where T represents the torsion invariant and T G is the teleparallel equivalent of the Gauss-Bonnet term. It is found that one can translate the Friedmann equations to the standard form of first law of thermodynamics. We discuss GSLT in the locality of assumption that temperature of matter inside the horizon is similar to that of horizon. Finally, we consider particular models in this theory and generate constraints on the coupling parameter for the validity of GSLT in terms of recent cosmic parameters and power law solutions.

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Section: F (T T G ) Gravitymentioning

confidence: 99%

“…To illustrate the validity of GSLT in f (T, T G ) gravity, we consider some generic f (T, T G ) models of the following form [27] 1.…”

Section: Gslt In F (T T G ) Gravitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Generalized second law of thermodynamics in f ( T , T G ) $f(T,T_{G})$ gravity

Zubair

Jawad

2015

Astrophys Space Sci

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“…The Lagrangian of this theory is written with the torsion scalar T , and not the Ricci scalar R defined with Levi-Civita connection [26][27][28] as in general relativity. Recently inspired by the same theories in the framework of general relativity, various generalization of teleparallel gravity including f (T ) gravity [29][30][31], f (T, T G ) gravity [32] as well as non-minimally coupled scalar-torsion theories [33] have been wildly studied in the literature (see for example [34,35]). A non-minimal coupling between derivative of scalar field and curvature in the framework of general relativity is also another interesting issue to explore cosmological implications of such a coupling in details [36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Interacting quintessence in a new scalar-torsion gravity

Fazlpour

2016

Gen Relativ Gravit

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In the framework of teleparallel equivalent of general relativity, we study a gravity theory where a scalar field beyond its minimal coupling, is also coupled with the vector torsion through a non-minimal derivative coupling. After a suitable choice of auxiliary variables that allows us to perform the phasespace analysis of the model we obtain the critical points and their stability. While there is no scaling attractor in non-interacting scenario, by considering an interaction between dark energy and dark matter, we find scaling attractors in which the fractional densities of dark energy and matter are non-vanishing constants over there. The universe can evolve to these scaling attractors regardless of initial conditions and the cosmological coincidence problem could be alleviated without fine-tunings.

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Traversable Wormholes in the Extended Teleparallel Theory of Gravity with Matter Coupling

Mustafa

Ahmad

Овгун

et al. 2021

Fortschritte der Physik

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This study explores the Gaussian and the Lorentzian distributed spherically symmetric wormhole solutions in the f(τ,T) gravity. The basic idea of the Gaussian and Lorentzian noncommutative geometries emerges as the physically acceptable and substantial notion in quantum physics. This idea of the noncommutative geometries with both the Gaussian and Lorentzian distributions becomes more striking when wormhole geometries in the modified theories of gravity are discussed. Here we consider a linear model within f(τ,T) gravity to investigate traversable wormholes. In particular, we discuss the possible cases for the wormhole geometries using the Gaussian and the Lorentzian noncommutative distributions to obtain the exact shape function for them. By incorporating the particular values of the unknown parameters involved, we discuss different properties of the new wormhole geometries explored here. It is noted that the involved matter violates the weak energy condition for both the cases of the noncommutative geometries, whereas there is a possibility for a physically viable wormhole solution. By analyzing the equilibrium condition, it is found that the acquired solutions are stable. Furthermore, we provide the embedded diagrams for wormhole structures under Gaussian and Lorentzian noncommutative frameworks. Moreover, we present the critical analysis on an anisotropic pressure under the Gaussian and the Lorentzian distributions.

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Cosmological applications ofF(T,TG)gravity

Cited by 147 publications

References 94 publications

Generalized second law of thermodynamics in f ( T , T G ) $f(T,T_{G})$ gravity

Generalized second law of thermodynamics in f ( T , T G ) $f(T,T_{G})$ gravity

Interacting quintessence in a new scalar-torsion gravity

Traversable Wormholes in the Extended Teleparallel Theory of Gravity with Matter Coupling

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