Physics NotePublished
Theorems of Birkhoff Type in Finsler Spaces
Solange F. Rutz
1998
Publication details
- Authors
- Solange F. Rutz
- Type
- Physics Note
- Status
- Published
- Publication date
- 1998
- Description
- In this paper we give a summary of basic definitions of Finsler geometry and a brief account of symmetry imposition for Finsler metrics,as well as a possible extension of General Relativity, in the vacuum case, for these spaces. We then make use of these results in order to generalise, for up to first order departures from the Riemannian setting, the well known Birkhoff's theorem from General Relativity. This result has been fully accomplished by means of computer algebra – actually, the very problem of explicitly determining non-Riemannian solutions for some generalised theory of gravity has only been made possible by computer algebra. The process is described in detail within the paper.
- Year
- 1998
- Number
- CBPF-NF-014/98
- Linked to a thesis
- No
- Linked to a grant
- No