2022/08/30 by Wijayanto, Mirda Prisma, Fadhilla, Emir Syahreza, Akbar, Fiki Taufik +1
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.2208.14361
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.