Slow-roll inflation with a Gauss-Bonnet correction

Guo, Zong-Kuan; Schwarz, Dominik J.

doi:10.1103/physrevd.81.123520

Cited by 119 publications

(168 citation statements)

References 51 publications

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“…Cosmological perturbation with dilatonic Gauss-Bonnet gravity has been studied extensively in the literature [84][85][86][87]. The presence of an additional R 2 term does not seem to alter the qualitative behaviour.…”

Section: Canonical Quantizationmentioning

confidence: 99%

History of cosmic evolution with modified Gauss–Bonnet-dilatonic coupled term

Debnath¹,

Ruz²,

Mandal³

et al. 2017

Eur. Phys. J. C

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Gauss-Bonnet-dilatonic coupling in four dimensions plays an important role to explain late-time cosmic evolution. However, this term is an outcome of the low energy string effective action and thus ought to be important in the early universe too. Unfortunately, a phase-space formulation of such a theory does not exist in the literature due to branching. We therefore consider a modified theory of gravity, which contains a nonminimally coupled scalar-tensor sector in addition to a higher-order scalar curvature invariant term with Gauss-Bonnet-dilatonic coupling. Such an action unifies early inflation with late-time cosmic acceleration. The quantum version of the theory is also well behaved.

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Section: Canonical Quantizationmentioning

confidence: 99%

History of cosmic evolution with modified Gauss–Bonnet-dilatonic coupled term

Debnath¹,

Ruz²,

Mandal³

et al. 2017

Eur. Phys. J. C

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“…The coupling between the Gauss-Bonnet curvature and tachyon field brings to the fore a new degree of freedom and following [80][81][82], one may define the hierarchy flow functions as follows:…”

Section: The Setupmentioning

confidence: 99%

“…Having the above points in mind, we build on the work of Herrera, Del Campo and Campuzano on warm-tachyon inflation [76] by adding a GaussBonnet correction. We organize the paper by presenting our model in the next section and derive the flow functions [77][78][79][80][81][82] and the number of e-foldings, followed by studying perturbations of this model in Sect. 3.…”

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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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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“…These equations are similar to those studied in models of inflation with scalar fields coupled to the Gauss-Bonnet invariant [Neupane et al (2006) in the scalar field equations), we can calculate for this model the number of e-folds and the observable quantities such as the power spectra of the scalar and tensor modes, the spectral indices, the tensor-to-scalar ratio and the running spectral indices. For example, considering the slow-roll conditions (see [Guo et al (2010)] and [Koh et al (2014)…”

Section: The Modelmentioning

confidence: 99%

Slow-roll inflation from massive vector fields non-minimally coupled to gravity

Oliveros

2016

Astrophys Space Sci

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In this work we study slow-roll inflation for a vector-tensor model with massive vector fields nonminimally coupled to gravity. The model under consideration has arbitrary parameters for each geometrical coupling. Taking into account a spatially flat FRW type universe and a general vector fields (with temporal and spatial components), we get the general expressions for equation of motion and the total energy momentum tensor. In this scenario, the isotropy of expansion is guaranteed considering a triplet of orthogonal vector fields, but the effective mass of the vector field is of the order of the Hubble scale and the inflationary regime is difficult to realize with this model. However, for suitable values (or constraints) of model parameters, it is possible to overcome this issue. In this sense, two cases were analyzed. In the first case, a regime with slow-roll inflation was obtained, and for the second case the vector field behaves as a constant, and it drives a quasi de Sitter expansion, hence that slow-roll takes place and inflation occurs.

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Slow-roll inflation with a Gauss-Bonnet correction

Cited by 119 publications

References 51 publications

History of cosmic evolution with modified Gauss–Bonnet-dilatonic coupled term

History of cosmic evolution with modified Gauss–Bonnet-dilatonic coupled term

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

Slow-roll inflation from massive vector fields non-minimally coupled to gravity

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