The general four-dimensional spherically symmetric Finsler space

Finsler geometries give natural generalisations of Riemannian geometries, and hence possible natural extensions of general relativity. In this latter (gravitational) context, it is of particular interest to find the general spherically symmetric Finsler metric on [Re][sup 4]. In this paper, the auth...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:General relativity and gravitation 1993-06, Vol.25 (6), p.589-602
Hauptverfasser: MCCARTHY, P. J, RUTZ, S. F
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Finsler geometries give natural generalisations of Riemannian geometries, and hence possible natural extensions of general relativity. In this latter (gravitational) context, it is of particular interest to find the general spherically symmetric Finsler metric on [Re][sup 4]. In this paper, the authors derive this metric. The general solution is given in two alternative forms, the second of which allows easy comparison with Riemannian-like metrics. The authors also derive the general axially symmetric Finsler metric on [Re][sup 4]. 15 refs.
ISSN:0001-7701
1572-9532
DOI:10.1007/BF00757070