Stability analysis of anisotropic inflationary cosmology

Chen, Chiang-Mei; Kao, W. F.

doi:10.1103/physrevd.64.124019

Cited by 88 publications

(95 citation statements)

References 32 publications

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“…In particular, we assume more general cosmological metrics than the FRW one, namely the Bianchi type-I, the KantowskiSachs (KS) and the Bianchi type-III ones, in order to provide a more general description of the cosmological evolution. Note that anisotropic cosmological metrics have been already studied in the context of GR with the presence of isotropic and anisotropic fluids [467][468][469]. Moreover, we desire to obtain several representative results in this scenario, such as power-law and de Sitter (dS) expansions.…”

Section: E Anisotropic Cosmologymentioning

confidence: 99%

f(T) teleparallel gravity and cosmology

et al. 2016

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Over the past decades, the role of torsion in gravity has been extensively investigated along the main direction of bringing gravity closer to its gauge formulation and incorporating spin in a geometric description. Here we review various torsional constructions, from teleparallel, to Einstein-Cartan, and metric-affine gauge theories, resulting in extending torsional gravity in the paradigm of f (T ) gravity, where f (T ) is an arbitrary function of the torsion scalar. Based on this theory, we further review the corresponding cosmological and astrophysical applications. In particular, we study cosmological solutions arising from f (T ) gravity, both at the background and perturbation levels, in different eras along the cosmic expansion. The f (T ) gravity construction can provide a theoretical interpretation of the late-time universe acceleration, alternative to a cosmological constant, and it can easily accommodate with the regular thermal expanding history including the radiation and cold dark matter dominated phases. Furthermore, if one traces back to very early times, for a certain class of f (T ) models, a sufficiently long period of inflation can be achieved and hence can be investigated by cosmic microwave background observations, or alternatively, the Big Bang singularity can be avoided at even earlier moments due to the appearance of non-singular bounces. Various observational constraints, especially the bounds coming from the large-scale structure data in the case of f (T ) cosmology, as well as the behavior of gravitational waves, are described in detail. Moreover, the spherically symmetric and black hole solutions of the theory are reviewed. Additionally, we discuss various extensions of the f (T ) paradigm. Finally, we consider the relation with other modified gravitational theories, such as those based on curvature, like f (R) gravity, trying to enlighten the subject of which formulation, or combination of formulations, might be more suitable for quantization ventures and cosmological applications. Contents

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Section: E Anisotropic Cosmologymentioning

confidence: 99%

f(T) teleparallel gravity and cosmology

et al. 2016

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“…Therefore the 5D KR model is a 5D extension of the KSW model. Note also that the KR theory has been studied extensively [83][84][85][86][87][88][89][90][91][92][93][94][95][96][97][98][99][100]. For example, its black hole solutions can be found in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…[94][95][96][97]. More interestingly, the cosmological birefringence and large-scale magnetic fields effects have been discussed in the context of a CPT-even dimension-six Chern-Simons-like coupled with Kalb-Ramond and scalar fields [98,99].…”

Section: Introductionmentioning

confidence: 99%

Anisotropic power-law inflation of the five dimensional scalar–vector and scalar-Kalb–Ramond model

Tuan

Kao

2018

Eur. Phys. J. C

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We will study the cosmological implications of the five dimensional scalar-vector and scalar-Kalb-Ramond model. In particular, a new set of Bianchi type I power-law analytic solution will be obtained for this model. The cosmic no-hair conjecture can be shown to break down in the presence of the scalar-vector and scalar-Kalb-Ramond couplings. The effect of the Kalb-Ramond field in the presence of the power-law solution will be shown explicitly. We will also show that the presence of a phantom field does, however, destabilize the corresponding Bianchi type I power-law inflationary solutions.

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“…Since the major difficulty in cosmological models is the nonlinearity of the field equations and thus limitation in obtaining the exact solutions, we investigate the asymptotic behavior of the model, which provides the relevant features to be compared with the current physical data available for the universe. In this context, the perturbation methods, especially linear stability analysis which have been used to study the qualitative analysis of the equations and of the long term behavior of the solutions are being proposed in this work (Farajollahi and Salehi 2010Farajollahi and Milani 2011;Chen and Kao 2001). Section 2 is devoted to a detailed formulation of the model.…”

Section: Introductionmentioning

confidence: 99%

Dynamical stability in scalar-tensor cosmology

Farajollahi

Shahabi

Salehi

2011

Astrophys Space Sci

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We study FRW cosmology for a double scalar - tensor theory of gravity where two scalar fields are nonminimally coupled to the geometry. In a framework to study stability and attractor solutions of the model in the phase space, we constraint the model parameters with the observational data. For an accelerating universe, the model behaves like quintom dark energy models and predicts a transition from quintessence era to phantom era.Comment: 10 pages, 6 figures, to appear in Astrophysics and space sci

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Stability analysis of anisotropic inflationary cosmology

Cited by 88 publications

References 32 publications

f(T) teleparallel gravity and cosmology

f(T) teleparallel gravity and cosmology

Anisotropic power-law inflation of the five dimensional scalar–vector and scalar-Kalb–Ramond model

Dynamical stability in scalar-tensor cosmology

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