F(R)-gravity and inflation

Sebastiani, Lorenzo; Myrzakulov, Ratbay

doi:10.1142/s0219887815300032

Cited by 94 publications

(66 citation statements)

References 34 publications

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“…Myrzakulov et al [31] have investigated the inflation in f (R, φ) theories of gravity where the scalar field is coupled with gravity. Sebastiani and Myrzakulov [32] have briefly reviewed various f (R) gravity models for inflation, in particular, Starobinsky-like inflation. After that, f (R, T ) gravity become most prominent theory for investigating the fate of the late time accelerating expansion of the universe.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic cosmological models in f(R,T) gravity with variable deceleration parameter

Sahoo

Bishi

2017

Int. J. Geom. Methods Mod. Phys.

102

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The objective of this work enclosed with the study of spatially homogeneous anisotropic Bianchi type-I universe in f (R, T ) gravity (where R is the Ricci scalar and T is the trace of stress energy momentum tensor) in two different cases viz. f (R, T ) = R + 2f (T ) and f (R, T ) = f 1 (R) + f 2 (T ) with bulk viscosity matter content. In this study, we consider a time varying deceleration parameter, which generates an accelerating universe to obtain the exact solution of the field equations. The physical and kinematical properties of both the models are discussed in detail for the future evolution of the universe. We have explored the nature of WEC, DEC, SEC and energy density for both the cases. We have found that both the models, with bulk viscosity matter component, show an acceleration of the universe. We have also shown that the cosmic jerk parameter is compatible with the three kinematical data sets.

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Section: Introductionmentioning

confidence: 99%

Anisotropic cosmological models in f(R,T) gravity with variable deceleration parameter

Sahoo

Bishi

2017

Int. J. Geom. Methods Mod. Phys.

102

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“…For some reviews of inflation in modified gravity see Ref. [39,40]. Since a special class of Horndeski models can be recasted in the form of Gauss-Bonnet modified gravity, it may be useful to compare our results with the ones in Ref.…”

Section: Discussionmentioning

confidence: 95%

k $k$ -essence in Horndeski models

Myrzakul

Myrzakulov

Sebastiani

2016

Astrophys Space Sci

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In this paper, we investigate a simple class of Horndeski models where the scalar field plays the role of a k-essence fluid. We present several solutions for early-time universe, namely inflation and cosmological bounce, by making use of some reconstruction technique. Moreover, we furnish the formalism to calculate perturbations in FRW space-time and we compute the spectral index and the tensor-to-scalar ratio during inflation.

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“…For some other reviews of inflation in modified gravity, see Refs. [47,48]. Other useful references can be found in Refs.…”

Section: Discussionmentioning

confidence: 99%

k-Essence Non-Minimally Coupled with Gauss–Bonnet Invariant for Inflation

Myrzakulov

Sebastiani

2016

Symmetry

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Abstract:In this paper, we investigated inflationary solutions for a subclass of Horndeski models where a scalar field is non-minimally coupled with the Gauss-Bonnet invariant. Examples of canonical scalar field and k-essence to support the early-time acceleration are considered. The formalism to calculate the perturbations in a Friedmann-Robertson-Walker (FRW) universe and to derive the spectral index and the tensor-to-scalar ratio is furnished.

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F(R)-gravity and inflation

Cited by 94 publications

References 34 publications

Anisotropic cosmological models in f(R,T) gravity with variable deceleration parameter

Anisotropic cosmological models in f(R,T) gravity with variable deceleration parameter

k $k$ -essence in Horndeski models

k-Essence Non-Minimally Coupled with Gauss–Bonnet Invariant for Inflation

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