Attractor Solutions in Lorentz Violating Scalar-Vector-Tensor Theory

Abstract

We investigate properties of attractors for scalar field in the Lorentz violating scalar-vector-tensor theory of gravity. In this framework, both the effective coupling and potential functions determine the stabilities of the fixed points. In the model, we consider the constants of slope of the effective coupling and potential functions which lead to the quadratic effective coupling vector with the (inverse) power-law potential. For the case of purely scalar field, there are only two stable attractor solutions in the inflationary scenario. In the presence of a barotropic fluid, the fluid dominated solution is absent. We find two scaling solutions: the kinetic scaling solution and the scalar field scaling solutions. We show the stable attractors in regions of ($\gamma$, $\xi$) parameter space and in phase plane plot for different qualitative evolutions. From the standard nucleosynthesis, we derive the constraints for the value of the coupling parameter.

one additional figure and references added, accepted in Phys. Rev. D

References in corpus (25)

• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• Lorentz-Violating Extension of the Standard Model
• Cosmological Tracking Solutions
• Exponential potentials and cosmological scaling solutions
• Modern tests of Lorentz invariance
• Gravity with a dynamical preferred frame
• A classification of scalar field potentials with cosmological scaling solutions
• Cosmic Concordance and Quintessence
• Lorentz-Violating Vector Fields Slow the Universe Down
• What is needed of a tachyon if it is to be the dark energy?
• Cosmological dynamics of the tachyon with an inverse power-law potential
• Post-Newtonian parameters and constraints on Einstein-aether theory
• Tracking solutions in tachyon cosmology
• Challenges for scaling cosmologies
• Applications of scalar attractor solutions to Cosmology
• Can We See Lorentz-Violating Vector Fields in the CMB?
• Static post-Newtonian equivalence of GR and gravity with a dynamical preferred frame
• Lorentz Violating Inflation
• Detecting a Lorentz-Violating Field in Cosmology
• General analytic formulae for attractor solutions of scalar-field dark energy models and their multi-field generalizations
• Modified Gravity via Spontaneous Symmetry Breaking
• Radiation Damping in Einstein-Aether Theory
• Super-inflation in Loop Quantum Cosmology
• Spontaneous Lorentz Violation and the Long-Range Gravitational Preferred-Frame Effect
• Some Impacts of Lorentz Violation on Cosmology

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