## 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 spatial curvature of the universe. This is because only such k = 0 radiation solutions pose a homothetic Killing vector. This kind of theory can be used to generalize electromagnetism and other gauge theories, in curved spacetime, and there are no deviations from standard gauge field 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 spacetimes.

Original language | English |
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Article number | 1650188 |

Journal | Modern Physics Letters A |

Volume | 31 |

Issue number | 33 |

DOIs | |

State | Published - 30 Oct 2016 |

## Keywords

- Two measure theory
- dynamical time
- flatness of the universe
- homothetic Killing vectors

## ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Astronomy and Astrophysics
- General Physics and Astronomy