Anisotropic power-law solutions for a supersymmetry Dirac–Born–Infeld theory

Tuan, Q.; Kao, W. F.

doi:10.1088/0264-9381/33/8/085009

Cited by 21 publications

(90 citation statements)

References 133 publications

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“…On the other hand, Eq. (4.6) admits at least one positive root if a 1 a 6 < 0 [47][48][49][50][51][52]. Therefore the corresponding anisotropic solution is unstable if a 1 a 6 < 0.…”

Section: Inflationary Phasementioning

confidence: 99%

“…In particular, we would like to obtain a new set of power-law analytic solutions with the form [43,44,[47][48][49][50][51][52]:…”

Section: Anisotropic Power-law Solutionsmentioning

confidence: 99%

“…In order to understand the stability of the set of power-law solutions, we will consider the power-law perturbation of the field equations with δα = A α t m , δσ = A σ t m , and δφ = A φ t m [47][48][49][50][51][52]. Perturbing Eqs.…”

Section: Inflationary Phasementioning

confidence: 99%

“…In particular, the anisotropy will survive the inflation if I is chosen to be a canonical function of a scalar field as shown in the KSW model [43,44,[49][50][51][52]. On the other hand, if I is chosen as a function of the kinetic term of the scalar field, the anisotropy is unstable during the inflationary phase.…”

Section: Inflationary Phasementioning

confidence: 99%

“…More interestingly, non-canonical extensions of the KSW model, in which a scalar field takes non-canonical form such as Dirac-Born-Infeld (DBI), supersymmetric Dirac-BornInfeld (SDBI), and covariant Galileon forms, have also been shown to admit stable and attractive Bianchi type I inflationary solutions [49][50][51][52]. This indicates that the cosmic no-hair conjecture does not hold for the extended KSW models due to the presence of the coupling term f 2 (φ)F μν F μν .…”

Section: Introductionmentioning

confidence: 99%

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Anisotropic power-law inflation for a conformal-violating Maxwell model

Tuan

Kao

2018

Eur. Phys. J. C

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A set of power-law solutions of a conformalviolating Maxwell model with a non-standard scalar-vector coupling will be shown in this paper. In particular, we are interested in a coupling term of the form X 2n F μν F μν with X denoting the kinetic term of the scalar field. Stability analysis indicates that the new set of anisotropic power-law solutions is unstable during the inflationary phase. The result is consistent with the cosmic no-hair conjecture. We show, however, that a set of stable slowly expanding solutions does exist for a small range of parameters λ and n. Hence a small anisotropy can survive during the slowly expanding phase.

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“…On the other hand, Eq. (4.6) admits at least one positive root if a 1 a 6 < 0 [47][48][49][50][51][52]. Therefore the corresponding anisotropic solution is unstable if a 1 a 6 < 0.…”

Section: Inflationary Phasementioning

confidence: 99%

“…In particular, we would like to obtain a new set of power-law analytic solutions with the form [43,44,[47][48][49][50][51][52]:…”

Section: Anisotropic Power-law Solutionsmentioning

confidence: 99%

Section: Inflationary Phasementioning

confidence: 99%

Section: Inflationary Phasementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Anisotropic power-law inflation for a conformal-violating Maxwell model

Tuan

Kao

2018

Eur. Phys. J. C

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Anisotropic power-law inflation for a generalized model of two scalar and two vector fields

Do,

Kao

2023

Phys. Scr.

Self Cite

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Cosmological implication of a generalized model of two scalar and two vector fields, in which both scalar fields are non-minimally coupled to each vector field, is studied in this paper. In particular, we will seek a set of new anisotropic power-law inflationary solutions to this model. Additionally, the stability of the obtained solutions will be examined by using the dynamical system approach. As a result, we will show that this set of solutions turns out to be stable and attractive during the inflationary phase as expected due to the existence of the unusual couplings between two scalar and two vector fields. Notably, we will point out that the existence of phantom field will lead to an instability of the corresponding anisotropic power-law inflation.

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Anisotropic inflation with a non-minimally coupled electromagnetic field to gravity

Adak¹,

Akarsu²,

Dereli³

et al. 2017

J. Cosmol. Astropart. Phys.

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We consider the non-minimal model of gravity in Y (R)F 2 -form. We investigate a particular case of the model, for which the higher order derivatives are eliminated but the scalar curvature R is kept to be dynamical via the constraintThe effective fluid obtained can be represented by interacting electromagnetic field and vacuum depending on Y (R), namely, the energy density of the vacuum tracks R while energy density of the conventional electromagnetic field is dynamically scaled with the factor2 . We give exact solutions for anisotropic inflation by assuming the volume scale factor of the Universe exhibits a power-law expansion. The directional scale factors do not necessarily exhibit power-law expansion, which would give rise to a constant expansion anisotropy, but expand non-trivially and give rise to a non-monotonically evolving expansion anisotropy that eventually converges to a non-zero constant. Relying on this fact, we discuss the anisotropic e-fold during the inflation by considering observed scale invariance in CMB and demanding the Universe to undergo the same amount of e-folds in all directions. We calculate the residual expansion anisotropy at the end of inflation, though as a result of non-monotonic behaviour of expansion anisotropy all the axes of the Universe undergo the same of amount of e-folds by the end of inflation. We also discuss the generation of the modified electromagnetic field during the first few e-folds of the inflation and its persistence against to the vacuum till end of inflation.

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Anisotropic power-law solutions for a supersymmetry Dirac–Born–Infeld theory

Cited by 21 publications

References 133 publications

Anisotropic power-law inflation for a conformal-violating Maxwell model

Anisotropic power-law inflation for a conformal-violating Maxwell model

Anisotropic power-law inflation for a generalized model of two scalar and two vector fields

Anisotropic inflation with a non-minimally coupled electromagnetic field to gravity

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