Birkhoff theorem and matter

作者：Goswami Rituparno^*; Ellis George F R

来源：General Relativity and Gravitation, 2012, 44(8): 2037-2050.

DOI：10.1007/s10714-012-1376-x

• Birkhoff%26apos
• s theorem
• Perturbed black holes
• Solar system

Birkhoff%26apos;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 other case: the theorem remains approximately true in a spherically symmetric, approximately vacuum space time.

• 出版日期2012-8