2012/02/01 by Rituparno Goswami, George F. R. Ellis · 1 citation
Physics and Astronomy · #astro-ph.CO #astro-ph.SR #gr-qc
paper · pdf · doi:10.1007/s10714-012-1376-x
7 pages, Revtex4
arxiv created 2012/02/01 · arxiv updated 2015/06/04
Birkhoff's theorem for spherically symmetric vacuum spacetimes is a key theorem in studying local systems in general relativity theory. However realistic local systems are only approximately spherically symmetric and only approximately vacuum. In a previous paper, we showed the theorem remains approximately true in an approximately spherically symmetric vacuum space time. In this paper we prove the converse case: the theorem remains approximately true in a spherically symmetric, approximately vacuum space time.