Linear superposition of solutions of the Einstein-Maxwell equations
- 1 March 1986
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 3 (2) , 157-167
- https://doi.org/10.1088/0264-9381/3/2/009
Abstract
It is proved that when (gab, Fab) is an exact electrovacuum solution of the Einstein-Maxwell equations, Ia and ma are orthogonal vector fields, with la null, subject to (Fablb+ma)ma=0 and (lalb, lamb-lbma) a solution of the linearised Einstein-Maxwell equations, then (gab+lalb, Fab+lamb-ulbma) is in fact an excellent solution of the electrovacuum equations.Keywords
This publication has 2 references indexed in Scilit:
- Exact vacuum solutions of Einstein’s equation from linearized solutionsJournal of Mathematical Physics, 1978
- Solutions of the Einstein and Einstein-Maxwell EquationsJournal of Mathematical Physics, 1969