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Global existence and completeness of classical solutions in higher dimensional Einstein–Klein–Gordon system.
- Source :
-
General Relativity & Gravitation . Feb2024, Vol. 56 Issue 2, p1-40. 40p. - Publication Year :
- 2024
-
Abstract
- In this paper we study the global existence and completeness of classical solutions of gravity coupled a scalar field system called Einstein–Klein–Gordon system in higher dimensions. We introduce a new ansatz function to reduce the problem into a single first-order integro-differential equation. Then, we employ the contraction mapping in the appropriate Banach space. Using Banach fixed theorem, we show that there exists a unique fixed point, which is the solution of the theory. For a given initial data, we prove the existence of both local and global classical solutions. We also study the completeness properties of the spacetime. Here, we introduce a mass-like function for D ≥ 4 in Bondi coordinates. The completeness of spacetime along the future directed timelike lines outward to a region which resembles the event horizon of the black hole. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00017701
- Volume :
- 56
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- General Relativity & Gravitation
- Publication Type :
- Academic Journal
- Accession number :
- 176005499
- Full Text :
- https://doi.org/10.1007/s10714-024-03212-0