Higher dimensional nonlinear massive gravity

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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.

Section: The Five Dimensional Scalar-vector-kalb-ramond Theorymentioning

confidence: 99%

“…(5.33) leads to the non-trivial solution: 35) with the assumption that u 1 > 0, u 2 > 0, andv > 0. Note that this η solution is identical to the η solution for the 4D two-scalar-field KSW model [47,48].…”

Section: The Model and Its Anisotropic Power-law Solutionsmentioning

confidence: 99%

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

Tuan

Kao

2018

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“…The validity of the cosmic no-hair conjecture has also been tested in various cosmological models, including the higher curvature models [22][23][24][25][26][27][28], the Lorentz Chern-Simons theory [29,30], the massive vector theories [31][32][33][34], the nonlinear massive gravity models [35][36][37][38][39], the massive bigravity [40][41][42], and the supergravity-motivated models . Among these models, an interesting counter-example to the cosmic no-hair conjecture arising in the supergravitymotivated model proposed by Kanno, Soda, and Watanabe (KSW) [43,44] has attracted many attentions .…”

Section: Introductionmentioning

confidence: 99%

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

Tuan

Kao

2018

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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.

“…In this section, we will perform a dimensional reduction of the (4 + d)-dimensional dRGT massive gravity theory. Let us consider the dRGT massive gravity theory in (4 + d)-dimensional spacetime as follows [57]…”

Section: Gravity Theorymentioning

confidence: 99%

“…To construct the massive gravity theory which eliminates BD ghost, each potentialŨ i is implied from the characteristic equation given i × i square matrixK,K i×i [57]. In this work, we useK denotesK i×i in which their determinants can be constructedŨ i by…”

Section: Appendix A: the Explicit Form Ofũmentioning

confidence: 99%

Cosmological model due to dimensional reduction of higher-dimensional massive gravity theory

Nakarachinda

Wongjun

2018

We investigate a cosmological model resulting from a dimensional reduction of the higherdimensional dRGT massive gravity. By using the Kaluza-Klein dimensional reduction, we obtain an effective four-dimensional massive gravity theory with a scalar field. It is found that the resulting theory corresponds to a combined description of mass-varying massive gravity and quasi-dilaton massive gravity. By analyzing the cosmological solution, we found that it is possible to obtain the late-time expansion of the universe due to the graviton mass. By using a dynamical system approach, we found regions of model parameters for which the late-time expansion of the universe is a stable fixed point. Moreover, this also provides a mechanism to stabilize the extra dimensions. a