Timelike Vector Field Dynamics in the Early Universe

Abstract

We study the dynamics of a timelike vector field which violates Lorentz invariance when the background spacetime is in an accelerating phase in the early universe. It is shown that a timelike vector field is difficult to realize an inflationary phase, so we investigate the evolution of a vector field within a scalar field driven inflation model. And we calculate the power spectrum of the vector field without considering the metric perturbations. While the time component of the vector field perturbations provides a scale invariant spectrum when $\xi =0$, where $\xi$ is a nonminimal coupling parameter, both the longitudinal and transverse perturbations give a scale invariant spectrum when $\xi =1/6$.

16pages, 4 figures, corrected equation (6), added references v3: added references and comments, v4: extended sec. III

References in corpus (10)

• Vector Inflation
• Vector Field Models of Inflation and Dark Energy
• Ghost instabilities of cosmological models with vector fields nonminimally coupled to the curvature
• Can a vector field be responsible for the curvature perturbation in the Universe?
• A cosmic vector for dark energy
• Anisotropic Inflation from Vector Impurity
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• Lorentz Violating Inflation
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Cited by in corpus (7)

• Inflation from N-Forms and its stability
• Non-gaussianity from the trispectrum and vector field perturbations
• Non-gaussianity at tree and one-loop levels from vector field perturbations
• Effects of spacetime anisotropy on the galaxy rotation curves
• The Slow-Roll and Rapid-Roll Conditions in the Space-like Vector Field Scenario
• The Unified First law in "Cosmic Triad" Vector Field Scenario
• Non-gaussianity and Statistical Anisotropy in Cosmological Inflationary Models