Attractor solutions in Lorentz violating scalar-vector-tensor theory

Arianto,; Zen, Freddy P.; Triyanta,; Gunara, Bobby Eka

doi:10.1103/physrevd.77.123517

Cited by 19 publications

(14 citation statements)

References 29 publications

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“…(3) Here g µν and A µ are respectively the components of the metric tensor and Einstein-Aether vector field. General Relativity is recovered for c 1 = c 2 = c 3 = c 4 = 0 [11].…”

Section: The Einstein-aether Theorymentioning

confidence: 97%

Impact of Lorentz violation on the dynamics of inflation

et al. 2009

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This work deals with the dynamics of inflation in the context of a scalar-vector-tensor theory of gravity exhibiting spontaneous Lorentz violation at early times. We describe a first-order formalism which we use to obtain new exact Lorentz violating inflationary solutions for a broad family of models, some in the absence of a potential for the inflaton field. Our results show that different conditions are required to solve the horizon and flatness problems. In particular, we find a necessary condition for inflation to provide a solution to both problems and we show that in inflationary models with no inflaton potential a period of superinflation might be necessary to solve the flatness problem.Comment: 6 pages, no figure

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“…(3) Here g µν and A µ are respectively the components of the metric tensor and Einstein-Aether vector field. General Relativity is recovered for c 1 = c 2 = c 3 = c 4 = 0 [11].…”

Section: The Einstein-aether Theorymentioning

confidence: 97%

Impact of Lorentz violation on the dynamics of inflation

et al. 2009

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“…The above equation reduces to Refs. [11,28] for Q m = 0. Equations (21), (22), and (27) represent the basic set of equations of the model of interacting components of the cosmic fluid in the framework of Lorentz violating scalarvector-tensor theory of gravity.…”

Section: The Action and Field Equationsmentioning

confidence: 99%

“…In order to study the dynamics of the model, we shall introduce the following dimensionless variables [14,28]:…”

Section: Dynamical Analysismentioning

confidence: 99%

Cosmological evolution of interacting dark energy in Lorentz violation

et al. 2009

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The cosmological evolution of an interacting scalar field model in which the scalar field interacts with dark matter, radiation, and baryon via Lorentz violation is investigated. We propose a model of interaction through the effective couplingβ. Using dynamical system analysis, we study the linear dynamics of an interacting model and show that the dynamics of critical points are completely controlled by two parameters. Some results can be mentioned as follows. Firstly, the sequence of radiation, the dark matter, and the scalar field dark energy exist and baryons are sub dominant. Secondly, the model also allows the possibility of having a universe in the phantom phase with constant potential. Thirdly, the effective gravitational constant varies with respect to time throughβ. In particular, we consider a simple case whereβ has a quadratic form and has a good agreement with the modified ΛCDM and quintessence models. Finally, we also calculate the first post-Newtonian parameters for our model.

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“…The existence of vector fields in a scalar-vector-tensor theory of gravity also leads to its applications in modern cosmology and it might explain inflationary scenarios [11][12][13][14] and accelerated expansion of the universe [7,15]. Based on a dynamical vector field coupled to the gravitation and scalar fields, we have studied to some extent the cosmological implications of a scalar-vector-tensor theory of gravity [16][17][18]. The models also allow crossing of phantom divide line [19].…”

Section: Introductionmentioning

confidence: 99%

Modified gravitational equations on braneworld with Lorentz invariant violation

2009

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The modified gravitational equations to describe a four-dimensional braneworld in the case with the Lorentz invariant violation in a bulk spacetime is presented. It contains a trace part of the brane energy-momentum tensor and the coefficients of all terms describe the Lorentz violation effects from the bulk spacetime. As an application, we apply this formalism to study cosmology. In respect to standard effective Friedmann equations on the brane, Lorentz invariance violation in the bulk causes a modification of this equations that can lead to significant physical consequences. In particular, the effective Friedmann equation on the brane explicitly depends on the equation of state of the brane matter and the Lorentz violating parameters. We show that the components of five-dimensional Weyl curvature are related to the matter on brane even at low energies. We also find that the constraints on the theory parameters are depend on the equation of state of the energy components of 123 910 Arianto et al. the brane matter. Finally, the stability of the model depend on the specific choices of initial conditions and the parameters β i .

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Attractor solutions in Lorentz violating scalar-vector-tensor theory

Cited by 19 publications

References 29 publications

Impact of Lorentz violation on the dynamics of inflation

Impact of Lorentz violation on the dynamics of inflation

Cosmological evolution of interacting dark energy in Lorentz violation

Modified gravitational equations on braneworld with Lorentz invariant violation

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