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Global solutions to the spherically symmetric Einstein-scalar field system with a positive cosmological constant in Bondi coordinates.
- Source :
-
Journal of Hyperbolic Differential Equations . Jun2021, Vol. 18 Issue 2, p311-341. 31p. - Publication Year :
- 2021
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02198916
- Volume :
- 18
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Hyperbolic Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 151507824
- Full Text :
- https://doi.org/10.1142/S0219891621500107