Radiation Like Scalar Field and Gauge Fields in Cosmology for a theory with Dynamical Time

Abstract

Cosmological solutions with a scalar field behaving as radiation are obtained, in the context of gravitational theory with dynamical time. The solution requires the spacial curvature of the universe k, to be zero, unlike the standard radiation solutions, which do not impose any constraint on the spacial curvature of the universe. This is because only such $k=0$ radiation solutions poses a homothetic Killimg vector. This kind of theory can be used to generalize electromagnetism and other gauge theories, in curved space time, and there are no deviations from standard gauge filed equation (like Maxwell equations) in the case there exist a conformal Killing vector. But there could be departures from Maxwell and Yang Mills equations, for more general space times.

arXiv comment7 pages, to appear in Mod. Phys. Lett. A

References in corpus (11)

• Scale invariance, new inflation and decaying Lambda terms
• The Principle of Non-Gravitating Vacuum Energy and some of its consequences
• Emergent Cosmology, Inflation and Dark Energy
• Volume elements of spacetime and a quartet of scalar fields
• Unified Dark Energy and Dust Dark Matter Dual to Quadratic Purely Kinetic K-Essence
• Fine Tuning Free Paradigm of Two Measures Theory: K-Essence, Absence of Initial Singularity of the Curvature and Inflation with Graceful Exit to Zero Cosmological Constant State
• Exotic Low Density Fermion States in the Two Measures Field Theory: Neutrino Dark Energy
• Absence of the Fifth Force Problem in a Model with Spontaneously Broken Dilatation Symmetry
• Hodge Duality and Cosmological Constant
• Transition to Zero Cosmological Constant and Phantom Dark Energy as Solutions Involving Change of Orientation of Space-Time Manifold
• General relativity as an extended canonical gauge theory

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• A transition between bouncing hyper-inflation to ΛCDM from diffusive scalar fields
• Linear potentials in galaxy halos by Asymmetric Wormholes
• $\Lambda$CDM as a Noether Symmetry in Cosmology
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