<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>gravity

Harkó, Tiberiu; Lobo, Francisco S. N.; Nojiri, Shin’ichi; Odintsov, Sergei D.

doi:10.1103/physrevd.84.024020

Cited by 2,463 publications

(2,334 citation statements)

References 88 publications

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“…The resulting f (T, T ) theory is different from f (T ) gravity, from the curvature-based f (R, T ) gravity [83], as well as from the recently constructed nonminimally torsion-matter coupled theory where T is coupled to the matter Lagrangian L m instead of T [99]. Therefore, it is a novel modified gravitational theory.…”

Section: Discussionmentioning

confidence: 76%

“…Thus, one obtains an effective interaction between the dark energy and matter sectors, which is usual in modified matter coupling theories [78][79][80][81][82][83]. Therefore, in the present model the effective dark energy is not conserved alone, and there is an effective coupling between dark energy and normal matter, with the possibility of energy transfer from one component to another.…”

Section: F (T ) Gravity and Cosmologymentioning

confidence: 77%

See 1 more Smart Citation

f(T,𝒯) gravity and cosmology

Harkó

Lobo

Otalora

et al. 2014

J. Cosmol. Astropart. Phys.

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259

213

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Abstract. We present an extension of f (T ) gravity, allowing for a general coupling of the torsion scalar T with the trace of the matter energy-momentum tensor T . The resulting f (T, T ) theory is a new modified gravity, since it is different from all the existing torsion or curvature based constructions. Applied to a cosmological framework, it leads to interesting phenomenology. In particular, one can obtain a unified description of the initial inflationary phase, the subsequent non-accelerating, matter-dominated expansion, and then the transition to a late-time accelerating phase. Additionally, the effective dark energy sector can be quintessence or phantom-like, or exhibit the phantom-divide crossing during the evolution. Moreover, in the far future the universe results either to a de Sitter exponential expansion, or to eternal power-law accelerated expansions. Finally, a detailed study of the scalar perturbations at the linear level reveals that f (T, T ) cosmology can be free of ghosts and instabilities for a wide class of ansatzes and model parameters.

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Section: Discussionmentioning

confidence: 76%

Section: F (T ) Gravity and Cosmologymentioning

confidence: 77%

f(T,𝒯) gravity and cosmology

Harkó

Lobo

Otalora

et al. 2014

J. Cosmol. Astropart. Phys.

Self Cite

259

213

View full text Add to dashboard Cite

show abstract

“…To deal with the problems of late time acceleration of the universe, Harko et al [16] proposed a new theory known as ( , ) f R T theory of gravity by modifying general theory of relativity. We chose a specific choice of the functional ( ) ( ) ( ) investigated the exact solutions of Hypersurface -Homogenous cosmological model.…”

Section: Resultsmentioning

confidence: 99%

“…Another approach to modified gravity is so-called ( ) f T gravity [13][14][15], where T is the scalar torsion. Recently, Harko et al [16] proposed ( , ) f R T gravity theory by taking into account the gravitational Lagrangian as the function of Ricci scalar R and of the trace of energy-stress tensor T. They have obtained the equation of motion of test particle and the gravitational field equation in metric formalism both. The ( , ) f R T gravity models could justify the late time cosmic accelerated enlargement of the Universe.…”

Section: Introductionmentioning

confidence: 99%

Hypersurface-Homogeneous Universe with Λ in <i>f</i>(<i>R,T</i>) Gravity by Hybrid Expansion Law

Shaikh¹,

Wankhade²

2017

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Abstract. In the present study we investigate, Hypersurface-Homogeneous cosmological model in f(R,T) theory of gravity with a term Λ. We obtain the gravitational field equations in the metric formalism, which follow from the covariant divergence of the stress-energy tensor. The field equations correspond for a specific choice of f(R,T)=f 1 (R)+f 2 (T), with the individual superior functions f 1 (R)=λR and f 2 (T)=λT. In this paper, we consider a simple form of expansion history of Universe referred to as the hybrid expansion law − a product of power-law and exponential type of functions. Einstein's field equations have been solved by taking into account the hybrid expansion law for scale factor that yields time dependent deceleration parameter (DP). Some physical and geometric properties of the model along with physical acceptability of the solutions have also been discussed in detail.

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“…This way to explain the accelerated expansion of our universe is known as modified or generalized gravity. Considering that the gravitational interaction is described only by the curvature of space-time, we can generalize the Einsteina e-mail: ednaldobarrosjr@gmail.com b e-mail: esialg@gmail.com Hilbert action through an analytic function of scalars of the theory, as for example f (R) gravities [5][6][7][8][9], withR being the Ricci scalar or curvature scalar, f (R, ) [10][11][12][13], with being the trace of energy-momentum tensor, or yet f (G) [14][15][16][17][18], f (R, G) [19][20][21][22][23][24] and f (R, ,R μν μν ) [25], with μν being the energy-momentum tensor.…”

Section: Introductionmentioning

confidence: 99%

Generalized teleparallel theory

Ednaldo

Rodrigues

2016

Eur. Phys. J. C

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We construct a theory in which the gravitational interaction is described only by torsion, but that generalizes the teleparallel theory still keeping the invariance of local Lorentz transformations in one particular case. We show that our theory falls, in a certain limit of a real parameter, under f (R) gravity or, in another limit of the same real parameter, under modified f (T ) gravity; on interpolating between these two theories it still can fall under several other theories. We explicitly show the equivalence with f (R) gravity for the cases of a Friedmann-Lemaître-Robertson-Walker flat metric for diagonal tetrads, and a metric with spherical symmetry for diagonal and non-diagonal tetrads. We study four applications, one in the reconstruction of the de Sitter universe cosmological model, for obtaining a static spherically symmetric solution of de Sitter type for a perfect fluid, for evolution of the state parameter ω DE , and for the thermodynamics of the apparent horizon.

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f(R,T)gravity

Cited by 2,463 publications

References 88 publications

f(T,𝒯) gravity and cosmology

f(T,𝒯) gravity and cosmology

Hypersurface-Homogeneous Universe with Λ in <i>f</i>(<i>R,T</i>) Gravity by Hybrid Expansion Law

Generalized teleparallel theory

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