1202.0240 (Rituparno Goswami et al.)

Birkhoff Theorem and Matter    [PDF]

Rituparno Goswami, George F. R. Ellis

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.

View original: http://arxiv.org/abs/1202.0240