2008/01/31 by Arianto, Freddy P. Zen, Triyanta +3 · 1 citation
Mathematics · Physics and Astronomy · #Attractor #Barotropic fluid #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Coupling parameter #Lorentz transformation #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Parameter space #Physics #Quantum mechanics #Scalar (mathematics) #Scalar field #Scalar potential #Scaling #Vector field #hep-th
paper · pdf · doi:10.1103/physrevd.77.123517
published as Phys.Rev.D77:123517,2008 · one additional figure and references added, accepted in Phys. Rev. D
arxiv created 2008/03/13 · openalex publication_date 2008/06/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate properties of attractors for the 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 the 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 a 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 (\ensuremathγ,\ensuremathξ) parameter space and in a phase plane plot for different qualitative evolutions. From the standard nucleosynthesis, we derive the constraints for the value of the coupling parameter.