Existence of radiating Einstein-Maxwell solutions which are C ∞ on all of I + and I $
- 1 April 1989
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 6 (4) , 453-466
- https://doi.org/10.1088/0264-9381/6/4/006
Abstract
The authors give a prescription for constructing Cinfinity solutions of the Einstein-Maxwell constraint equations on R3 which are close to flat initial data and which are exactly vacuum Schwarzschild initial data outside of a compact region. They use a generalisation of a theorem due to Friedrich (1988) to prove that the maximal evolution of these initial data sets are Cinfinity -conformally extendible to future and past null and timelike infinity, I+, i+, I- and i-. This establishes the existence of radiating solutions which are smoothly asymptotically flat in both the past and future.Keywords
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