Global existence of classical static solutions of four dimensional Einstein-Klein-Gordon system
Mathematical Physics
2023-01-16 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
In this paper we prove the global existence of classical static solutions of Einstein gravitational theory coupled to a real scalar field where the spacetime admits spherically symmetry. The equations of motions can then be reduced into a single first-order integro-differential equation. First, we obtain the decay estimates of the solutions. Then, in order to prove the global existence, we use the contraction mapping theorem in the appropriate function spaces.
Keywords
Cite
@article{arxiv.2208.14361,
title = {Global existence of classical static solutions of four dimensional Einstein-Klein-Gordon system},
author = {Mirda Prisma Wijayanto and Emir Syahreza Fadhilla and Fiki Taufik Akbar and Bobby Eka Gunara},
journal= {arXiv preprint arXiv:2208.14361},
year = {2023}
}
Comments
22 pages, no picture. Major revision: some typos corrected, paper restructured and some sections revised, appendices added. Accepted in Gen. Rel. Grav. 2023