Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-27T06:59:47.763Z Has data issue: false hasContentIssue false
  • English
  • Français

Algebraically general and gravito-electric rotating dust

Published online by Cambridge University Press:  30 September 2008

A. Oscoz ,
E. Mediavilla ,
M. Serra-Ricart ,
L. Wylleman  and
N. Van den Bergh
L. Wylleman
Affiliation:
Faculty of Applied Sciences TW16, Gent University, Galglaan 2, 9000 Gent, Belgium
N. Van den Bergh
Affiliation:
Faculty of Applied Sciences TW16, Gent University, Galglaan 2, 9000 Gent, Belgium
Get access

Abstract

An invariant classification scheme of algebraicallygeneral rotating dust with a purely electric Weyl tensor ispresented. It turns out that the vorticity vector of the dustcongruence is necessarily parallel to a Weyl principal vector, whichis moreover geodesic. An explicit metric expression can be obtainedfor the subclass of expanding models with one functionallyindependent zero-order Riemann invariant. The basic equations forthe general case, where there are two such invariants, are givenwithin a weighted 1+1+2 tetrad formalism.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 30: Spanish Relativity Meeting - Encuentros Relativistas Españoles, ERE2007: Relativistic Astrophysics and Cosmology , 2008 , pp. 237 - 240
Copyright
© EAS, EDP Sciences, 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ehlers, J., 1961, Akad. Wiss. Mainz Abh., Math.-Nat. Kl., 11, 793
Matarrese, S., Pantano, O., & Saez, D., 1993, Phys. Rev. D, 47, 1311 CrossRef
Matarrese, S., Pantano, O., & Saez, D., 1994, Phys. Rev. Lett., 72, 320 CrossRef
Riquier, C., 1910, Les Systèmes d' Équations aux Dérivées Partielles (Paris: Gauthier Villars)
Sopuerta, C.F., 1997, Phys. Rev. D, 55, 5936 CrossRef
Stephani, H., Kramer, D., MacCallum, M.A.H., Hoenselaers, C., & Herlt, E., 2003, Exact Solutions to Einstein's Field Equations (Cambridge: University Press)
Van den Bergh, N., & Wylleman, L., 2004, Class. Quantum Grav., 21, 2291 CrossRef
van Elst, H., Uggla, C., Lesame, W.M., & Ellis, G.F.R., 1997, Class. Quantum Grav., 14, 1151 CrossRef
Wylleman, L., Petrov type I gravito-electric rotating dust I. Main properties and subdivision, submitted to Phys. Rev. D
Wylleman, L., 2008, Ph.D. Thesis, University of Ghent
Wylleman, L., & Van den Bergh, N., An asymmetric and algebraically general rotating dust family, Class. Quant. Grav, submitted