Conformal scalar fields, isotropic singularities and conformal cyclic cosmologies
General Relativity and Quantum Cosmology
2013-12-10 v1 High Energy Physics - Theory
Abstract
We analyse spacetimes with a conformal scalar field source, a cosmological constant and a quartic self-interaction term for the scalar field. We also consider additional matter contents in the form of Maxwell and Yang-Mills fields or radiation fluids. Existence theorems for weakly asymptotically flat spacetimes are given. We give a generalisation of Bekenstein's result [Ann. Phys. 82, 535 (1974)] and use it to derive existence theorems for spacetimes that contain an isotropic singularity. The results are combined to suggest a mathematical setup for Penrose's CCC scenario using a conformal scalar field cosmology.
Cite
@article{arxiv.1312.2059,
title = {Conformal scalar fields, isotropic singularities and conformal cyclic cosmologies},
author = {Christian Lübbe},
journal= {arXiv preprint arXiv:1312.2059},
year = {2013}
}
Comments
18 pages, 2 figures