REAL

Slowly rotating fluid balls of Petrov type D

Bradley, M. and Eriksson, D. and Fodor, Gyula and Rácz, István (2007) Slowly rotating fluid balls of Petrov type D. PHYSICAL REVIEW D PARTICLES FIELDS GRAVITATION AND COSMOLOGY, 75. -024013. ISSN 1550-7998

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Abstract

The second order perturbative field equations for slowly and rigidly rotating perfect fluid balls of Petrov type D are solved numerically. It is found that all the slowly and rigidly rotating perfect fluid balls up to second order, irrespective of Petrov type, may be matched to a possibly nonasymptotically flat stationary axisymmetric vacuum exterior. The Petrov type D interior solutions are characterized by five integration constants, corresponding to density and pressure of the zeroth order configuration, the magnitude of the vorticity, one more second order constant, and an independent spherically symmetric second order small perturbation of the central pressure. A four-dimensional subspace of this five-dimensional parameter space is identified for which the solutions can be matched to an asymptotically flat exterior vacuum region. Hence these solutions are completely determined by the spherical configuration and the magnitude of the vorticity. The physical properties, like equation of state, shape, and speed of sound, are determined for a number of solutions.

Item Type: Article
Subjects: Q Science / természettudomány > QC Physics / fizika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 02 Jul 2014 09:16
Last Modified: 07 Mar 2024 12:06
URI: https://real.mtak.hu/id/eprint/13451

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