Hostname: page-component-7bb8b95d7b-fmk2r Total loading time: 0 Render date: 2024-09-14T08:17:09.746Z Has data issue: false hasContentIssue false
  • English
  • Français

An approximate global stationary metric with axial symmetry for a perfect fluid with equation of state µ+(1–n)p = µ0: Exterior metric

Published online by Cambridge University Press:  30 September 2008

A. Oscoz ,
E. Mediavilla ,
M. Serra-Ricart ,
J.E. Cuchí ,
A. Gil–Rivero ,
A. Molina  and
E. Ruiz
J.E. Cuchí
Affiliation:
Facultad de Ciencias, Universidad de Salamanca, Plaza de la Merced s/n, 37008 Salamanca, Spain
A. Gil–Rivero
Affiliation:
Facultad de Ciencias, Universidad de Salamanca, Plaza de la Merced s/n, 37008 Salamanca, Spain
A. Molina
Affiliation:
Departament de Física Fonamental, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Spain
E. Ruiz
Affiliation:
Facultad de Ciencias, Universidad de Salamanca, Plaza de la Merced s/n, 37008 Salamanca, Spain
Get access

Abstract

We construct an approximate asymptotically flat stationary and axisymmetric vacuum metric by imposing matching conditions on an interior metric associated to a perfect fluid with equation of state µ+(1–n)p = µ0. A comparison between this vacuum metric and the Kerr one is made. Finally, a brief reflexion about the Wahlquist metric is commented in relation with our results.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 30: Spanish Relativity Meeting - Encuentros Relativistas Españoles , ERE2007: Relativistic Astrophysics and Cosmology , 2008 , pp. 315 - 318
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

Beig, R., & Simon, W., 1981, Proc. Roy. Soc., A376, 333 CrossRef
Bradley, M., Fodor, G., Marklund, M., & Perjés, Z., 2000, Class. Quantum Grav., 17, 351 CrossRef
Cabezas, J.A., Martín, J., Molina, A., & Ruiz, E., 2007, Gen. Rel. Grav., 39, 707 CrossRef
Hernández–Pastora, J.L., Martín, J., & Ruiz, E., 2003, in Advances in General Relativity and Cosmology (in memory of A. Lichnerowicz), ed. G. Ferrarese (Pitagora Editrice, Bologna) 147
Kundu, P., 1981, J. Math. Phys., 22, 2006 CrossRef
Lichnerowicz, A., 1955, in Théories Relativistes de la Gravitation et de l'Electromagnetisme (Masson, Paris)
Papapetrou, A., 1966, Ann. Inst. H. Poincaré, 4, 83