Physical parameters for stable f(R) models

Samanta, Gauranga C.; Godani, Nisha

doi:10.1007/s12648-019-01565-w

Cited by 26 publications

(8 citation statements)

References 77 publications

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“…[22,23] and gives the main term allowing to fit the modulus of X for glycerol [23]. This extension came after several works [45][46][47][48] where the entropic effects were found to be consistent with the measured X (1) 2;1 in various systems. Note that to perform this extension one needs to introduce a time dependent configurational entropy, which is nevertheless acceptable in the region ωτ α 1, where the model is used.…”

Section: B Entropic Effectsmentioning

confidence: 69%

Unifying different interpretations of the nonlinear response in glass-forming liquids

Paramesh¹,

Albert²,

Michl³

et al. 2017

Phys. Rev. E

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This work aims at reconsidering several interpretations coexisting in the recent literature concerning non-linear susceptibilities in supercooled liquids. We present experimental results on glycerol and propylene carbonate showing that the three independent cubic susceptibilities have very similar frequency and temperature dependences, both for their amplitudes and phases. This strongly suggests a unique physical mechanism responsible for the growth of these non-linear susceptibilities. We show that the framework proposed by two of us [BB, Phys. Rev. B 72, 064204 (2005)], where the growth of non-linear susceptibilities is intimately related to the growth of "glassy domains", accounts for all the salient experimental features. We then review several complementary and/or alternative models, and show that the notion of cooperatively rearranging glassy domains is a key (implicit or explicit) ingredient to all of them. This paves the way for future experiments which should deepen our understanding of glasses.

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Section: B Entropic Effectsmentioning

confidence: 69%

Unifying different interpretations of the nonlinear response in glass-forming liquids

Paramesh¹,

Albert²,

Michl³

et al. 2017

Phys. Rev. E

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“…He explored the evolution of matter density and showed the domination of scalar over a matter-induced mode as we move back to the past. Many viable cosmological models in modified f (R) gravity have been discussed in [40][41][42][43][44][45][46][47][48][49][50]. Subsequently, Harko et al [51] generalized the gravitational action f (R) by including the stress energy tensor term and developed a new theory called f (R, T ) theory of gravity.…”

Section: Literature Surveymentioning

confidence: 99%

Traversable Wormholes with Exponential Shape Function in Modified Gravity and in General Relativity: A Comparative Study

Samanta¹,

Godani²,

Bamba³

2018

Preprint

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We propose a novel shape function, on which the metric that models traversable wormholes is dependent. With this shape function, the energy conditions, equation of state and anisotropy parameter are analyzed in f (R) gravity, f (R, T ) gravity and general relativity. Furthermore, the consequences obtained with respect to these theories are compared. In addition, the existence of wormhole geometries is investigated.

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“…The dynamical behavior of the matter and the dark energy effects have been obtained within extended theories of gravity [25][26][27][28]. Apart from this, recently many scientists have studied the dynamics of cosmological models using f (R) gravity in various directions [29][30][31][32][33][34][35][36][37][38][39][40][41][42]. Unsurprisingly, these models may also have some inadequacies.…”

Section: Introductionmentioning

confidence: 99%

Static traversable wormholes in f(R,T)=R+2αlnT gravity

Godani¹,

Samanta²

2019

Chinese Journal of Physics

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Traversable wormholes, studied by Morris and Thorne [3] in general relativity, are investigated in this research paper in f (R, T ) gravity by introducing a new form of nonlinear f (R, T ) function. By using this novel function, the Einstein's field equations in f (R, T ) gravity are derived. To obtain the exact wormhole solutions, the relations p t = ωρ and p r = sinh(r)p t , where ρ is the energy density, p r is the radial pressure and p t is the tangential pressure, are used. Other than these relations, two forms of shape function defined in literature are used, and their suitability is examined by exploring the regions of validity of null, weak, strong and dominant energy conditions . Consequently, the radius of the throat or the spherical region, with satisfied energy conditions, is determined and the presence of exotic matter is minimized.

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Physical parameters for stable f(R) models

Cited by 26 publications

References 77 publications

Unifying different interpretations of the nonlinear response in glass-forming liquids

Unifying different interpretations of the nonlinear response in glass-forming liquids

Traversable Wormholes with Exponential Shape Function in Modified Gravity and in General Relativity: A Comparative Study

Static traversable wormholes in f(R,T)=R+2αlnT gravity

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