Other
Scientific paper
Jun 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999phrvd..59l4017c&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 59, Issue 12, 15 June 1999, id. 124017
Other
5
Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields, Exact Solutions, Relativistic Stars: Structure, Stability, And Oscillations, Magnetohydrodynamics And Plasmas
Scientific paper
Spherically symmetric spacetimes representing a perfect fluid coupled to an electromagnetic field are considered in full generality. It is shown that the Hall current is necessarily zero and that the four-current contains, in general, both a convection and a conduction term in the case of a non-null electromagnetic field, whereas it vanishes necessarily if the electromagnetic field is null. Examples illustrating the various possibilities and satisfying the dominant energy condition are provided. The problem of matching solutions of the considered type (and more general others) to the Vaidya spacetime is considered, and a result relating this possibility to the satisfaction of the dominant energy condition on a certain compact spacetime submanifold is proven. Some of the examples given are explicitly joined to Vaidya's solution, thus providing examples of stellar models.
Carot Jaume
Tupper Brian O. J.
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