Global solutions to the spherically symmetric Einstein-scalar field system with a positive cosmological constant in Bondi coordinates
General Relativity and Quantum Cosmology
2020-12-29 v2 Analysis of PDEs
Abstract
We consider a characteristic initial value problem, with initial data given on a future null cone, for the Einstein (massless) scalar field system with a positive cosmological constant, in Bondi coordinates. We prove that, for small data, this system has a unique global classical solution which is causally geodesically complete to the future and decays polynomially in radius and exponentially in Bondi time, approaching the de Sitter solution.
Keywords
Cite
@article{arxiv.2004.07396,
title = {Global solutions to the spherically symmetric Einstein-scalar field system with a positive cosmological constant in Bondi coordinates},
author = {João L. Costa and Filipe C. Mena},
journal= {arXiv preprint arXiv:2004.07396},
year = {2020}
}
Comments
25 pages, to appear in Journal of Hyperbolic Differential Equations