Dark energy from modified <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>-scalar-Gauss–Bonnet gravity

Nojiri, Shin’ichi; Odintsov, Sergei D.; Tretyakov, Petr V.

doi:10.1016/j.physletb.2007.06.029

Cited by 136 publications

(33 citation statements)

References 27 publications

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“…where T (γ ) is the energy momentum tensor for radiation field and the energy momentum tensor for the tachyon field can be expressed as [53,54,83]…”

Section: The Setupmentioning

confidence: 99%

“…Furthermore, to have a ghost-free action, the EinsteinHilbert action should have quadratic curvature corrections which would be proportional to a Gauss-Bonnet term which has topologically no contribution in 4 dimensions, except when coupled to other fields including scalar fields. In addition, this term has no problem with unitarity and since the equations of motion do not contain higher than second order in temporal derivatives, there would be no stability problem [51][52][53][54][55][56]. Fortunately, the theory with a non-minimally coupled Gauss-Bonnet term could provide the possibility of avoiding the initial singularity of the universe [57].…”

Section: Introductionmentioning

confidence: 99%

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Warm-tachyon Gauss–Bonnet inflation in the light of Planck 2015 data

Motaharfar

Sepangi

2016

Eur. Phys. J. C

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We study a warm-tachyon inflationary model non-minimally coupled to a Gauss-Bonnet term. The general conditions required for reliability of the model are obtained by considerations of a combined hierarchy of Hubble and Gauss-Bonnet flow functions. The perturbed equations are comprehensively derived in the longitudinal gauge in the presence of slow-roll and quasi-stable conditions. General expressions for observable quantities of interest such as the tensor-to-scalar ratio, scalar spectral index and its running are found in the high dissipation regime. Finally, the model is solved using exponential and inverse power-law potentials, which satisfy the properties of a tachyon potential, with parameters of the model being constrained within the framework of the Planck 2015 data. We show that the GaussBonnet coupling constant controls termination of inflation in such a way as to be in good agreement with the Planck 2015 data.

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“…where T (γ ) is the energy momentum tensor for radiation field and the energy momentum tensor for the tachyon field can be expressed as [53,54,83]…”

Section: The Setupmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Warm-tachyon Gauss–Bonnet inflation in the light of Planck 2015 data

Motaharfar

Sepangi

2016

Eur. Phys. J. C

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“…The GBIG gravity is a generalized braneworld scenario which contains both UV (ultra-violet) and IR (infra-red) limits in a unified manner: It contains stringy effect via Gauss-Bonnet (GB) term in the bulk action as the UV sector of the theory and Induced Gravity (IG) effect which becomes important in the IR limit [81][82][83][84][85][86][87][88][89]. Here we add a new ingredient to this scenario: we consider possible modification of the induced gravity on the brane in the general framework of f (R, φ) gravity.…”

Section: The Modified Gbig Scenariomentioning

confidence: 99%

Phantom Mimicry on the Normal Branch of a DGP-Inspired Braneworld Scenario With Curvature Effect

Nozari

Alipour

2010

Mod. Phys. Lett. A

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It has been shown recently that phantom-like effect can be realized on the normal branch of the DGP setup without introduction of any phantom matter neither in the bulk nor on the brane and therefore without violation of the null energy condition. It has been shown also that inclusion of the Gauss-Bonnet term in the bulk action modifies this picture via curvature effects. Here, based on the Lue-Starkman conjecture on the dynamical screening of the brane cosmological constant in the DGP setup, we extend this proposal to a general DGP-inspired f (R, φ) model that stringy effects in the ultraviolet sector of the theory are taken into account by inclusion of the Gauss-Bonnet term in the bulk action. We study cosmological dynamics of this setup, especially its phantom-like behavior and possible crossing of the phantom divide line especially with a non-minimally coupled quintessence field on the brane. In this setup, scalar field and curvature quintessence are treated in a unified framework. 95.36.+x, 98.80.Cq

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“…Another well-known class consists of the so-called F (G) gravity models, in which a function of the Gauss-Bonnet invariant, G, is added to the Einstein-Hilbert action [10]. More general modified Gauss-Bonnet theories of gravity with nonminimal coupling have also been suggested [11,12], see also Ref. [13].…”

Section: Introductionmentioning

confidence: 99%

Impulsive gravitational waves of massless particles in extended theories of gravity

Mohseni

2012

Phys. Rev. D

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We investigate the vacuum pp-wave and Aichelburg-Sexl-type solutions in f (R) and the modified Gauss-Bonnet theories of gravity with both minimal and nonminimal couplings between matter and geometry. In each case, we obtain the necessary condition for the theory to admit the solution and examine it for several specific models. We show that the wave profiles are the same or proportional to the general relativistic one.

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Dark energy from modified F(R)-scalar-Gauss–Bonnet gravity

Cited by 136 publications

References 27 publications

Warm-tachyon Gauss–Bonnet inflation in the light of Planck 2015 data

Warm-tachyon Gauss–Bonnet inflation in the light of Planck 2015 data

Phantom Mimicry on the Normal Branch of a DGP-Inspired Braneworld Scenario With Curvature Effect

Impulsive gravitational waves of massless particles in extended theories of gravity

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