Energy conditions in a modified Brans-Dicke theory
Abstract
We consider a modified version of Brans-Dicke theory (MBDT) in four dimensions obtained by applying the induced matter method of Wesson to a 5D generalized Brans-Dicke theory. In 5D the model consists of pure vacuum, with no self-interacting potential, except for a scalar field. Constraining the 5D geometry to be a generalization of the anisotropic Bianchi type I universe model first studied by Kasner, we derive the induced energy-momentum. We discuss the energy conditions and their bounds in the MBDT with such an induced imperfect fluid, with an eye toward a realistic model of the present-day universe, and consider the large-scale behavior of that spatially homogeneous and anisotropic model. We discuss how the energy conditions would be satisfied or violated in the context of MBDT, with the aim of providing a feasible description of the universe in the current era.
Keywords
Cite
@article{arxiv.2207.08004,
title = {Energy conditions in a modified Brans-Dicke theory},
author = {Hootan Amani and Paul Halpern},
journal= {arXiv preprint arXiv:2207.08004},
year = {2022}
}
Comments
20 pages, 5 figures