Global existence of classical static solutions of four dimensional Einstein-Klein-Gordon system

Autor:	Wijayanto, Mirda Prisma, Fadhilla, Emir Syahreza, Akbar, Fiki Taufik, Gunara, Bobby Eka
Rok vydání:	2022
Předmět:	Mathematical Physics General Relativity and Quantum Cosmology High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	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. Comment: 22 pages, no picture. Major revision: some typos corrected, paper restructured and some sections revised, appendices added. Accepted in Gen. Rel. Grav. 2023
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.14361 Zobrazit plný text záznamu View this record from Arxiv