The Generic Sudden Singularity in Brans-Dicke Theory
General Relativity and Quantum Cosmology
2021-02-03 v2 High Energy Physics - Theory
Abstract
We construct a formal asymptotic series expansion for a general solution of the Brans-Dicke equations with a fluid source near a sudden singularity. This solution contains eleven independent arbitrary functions of the spatial coordinates as required by the Cauchy problem of the theory. We show that the solution is geodesically complete and has the character of a shock wave in the sudden asymptotic region. This solution is weak in the senses of Tipler and Krolak as in the corresponding case of general relativity.
Cite
@article{arxiv.2009.01732,
title = {The Generic Sudden Singularity in Brans-Dicke Theory},
author = {John D. Barrow and Spiros Cotsakis and Dimitrios Trachilis},
journal= {arXiv preprint arXiv:2009.01732},
year = {2021}
}
Comments
29 pages, to appear in the EPJC