http://arxiv.org/abs/1803.11547
Birkhoff theorem is a well known result in General Relativity and it is used in many applications. However, its most general version, due to Bona, is almost unknown and presented in a form less accessible to the relativists and cosmologists community. Moreover, many wield it mistakenly as a simple transposition of Newton’s iron spheres theorem. In the present work, we propose a modern, dual null, presentation — useful in many explorations, including black holes — of the theorem that renders accessible most of the results of Bona’s version. In addition, we present the most general fluid contents admissible for the application of the theorem, beyond vacuum, and we solve explicitly the corresponding Einstein equations, presenting a family of solutions that share the properties predicted by the Birkhoff theorem.
A. Maciel, M. Delliou and J. Mimoso
Mon, 2 Apr 18
13/39
Comments: 10 pages, no figures