Energy conditions and stability in generalized <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> gravity with arbitrary coupling between matter and geometry

Wang, Jun; Wu, Yabo; Guo, Yong‐Xin; Yang, Weiqiang; Wang, Lei

doi:10.1016/j.physletb.2010.04.063

Cited by 95 publications

(32 citation statements)

References 22 publications

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“…In literature, the f (R) theory has been tested against the energy conditions [19]. Thus, we need to check the validity of these conditions for energy density and pressure for the torsion and scalar field.…”

Section: Energy Conditions and Generalized Teleparallel Gravitiesmentioning

confidence: 99%

Energy conditions in generalized teleparallel gravity models

2012

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In this paper, we investigate the energy conditions (including null, weak, strong, dominant) in generalized teleparallel gravities including pure F (T ), teleparallel gravity with non-minimally coupled scalar field and F (T ) with non-minimally coupled scalar field models. In particular, we apply them to Friedmann-Robertson-Walker (FRW) cosmology and obtain some corresponding results. Using two specific phenomenological forms of F (T ), we show that some of the energy conditions are violated.

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Section: Energy Conditions and Generalized Teleparallel Gravitiesmentioning

confidence: 99%

Energy conditions in generalized teleparallel gravity models

2012

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“…Below, following Ref. [13] we simply review the Raychaudhuri equation which is the physical origin of the null energy condition(NEC) and the strong energy condition(SEC) [22].…”

Section: A the Raychaudhuri Equationmentioning

confidence: 99%

“…Moreover, the energy conditions and the Dolgov-Kawasaki criterion for the model have been derived in Ref. [13], which are quite general and can degenerate to the well-known energy conditions in GR and f(R) gravity with non-minimal coupling and non-coupling as special cases.…”

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confidence: 99%

Modified f(G) gravity models with curvature–matter coupling

Zhao

et al. 2012

Eur. Phys. J. C

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A modified f(G) gravity model with coupling between matter and geometry is proposed, which is described by the product of the Lagrange density of the matter and an arbitrary function of the Gauss-Bonnet term. The field equations and the equations of motion corresponding to this model show the non-conservation of the energy-momentum tensor, the presence of an extra-force acting on test particles and the non-geodesic motion. Moreover, the energy conditions and the stability criterion at de Sitter point in the modified f(G) gravity models with curvature-matter coupling are derived, which can degenerate to the well-known energy conditions in general relativity.Furthermore, in order to get some insight on the meaning of these energy conditions, we apply them to the specific models of f(G) gravity and the corresponding constraints on the models are given.In addition, the conditions and the candidate for late-time cosmic accelerated expansion in the modified f(G) gravity are studied by means of conditions of power-law expansion and the equation of state of matter less than −

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“…In the literature, this approach has been extensively studied to evaluate the possible ranges of the free parameter of the generalized gravity models. For instants, the energy bound have been explored to constrain f (R) theories of gravity [21][22][23][24] and some extensions of f (R) gravity [25][26][27][28][29][30][31][32][33], modified Gauss-Bonnet gravity [34][35][36][37] and scalar-tensor gravity [38,39]. The energy condition have also been analysed in f (T ) gravity [40][41][42] and generalized models of f (T ) gravity [43][44][45][46].…”

Section: Introductionmentioning

confidence: 99%

Energy conditions in f(T) gravity with higher-derivative torsion terms

Azizi¹,

Gorjizadeh²

2017

EPL

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We study the energy conditions in the framework of the modified gravity with higher-derivative torsional terms in the action. We discuss the viability of the model by studying the energy conditions in terms of the cosmographical parameters like Hubble, deceleration, jerk, snap and lerk parameters. In particular, We consider two specific models that are proposed in literature and examine the viability bounds imposed by the weak energy condition.

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Energy conditions and stability in generalized f(R) gravity with arbitrary coupling between matter and geometry

Cited by 95 publications

References 22 publications

Energy conditions in generalized teleparallel gravity models

Energy conditions in generalized teleparallel gravity models

Modified f(G) gravity models with curvature–matter coupling

Energy conditions in f(T) gravity with higher-derivative torsion terms

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