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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
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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

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References

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