Slowly rotating fluid balls of Petrov type D

Michael Bradley, Daniel Eriksson, G. Fodor, I. Rácz

Research output: Contribution to journalArticle

14 Citations (Scopus)

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.

Original languageEnglish
Article number024013
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume75
Issue number2
DOIs
Publication statusPublished - 2007

Fingerprint

rotating fluids
Rotating Fluid
balls
Ball
Perfect Fluid
Vorticity
vorticity
Vacuum
vacuum
Configuration
Zeroth
fluids
Number of Solutions
configurations
Physical property
Small Perturbations
Equation of State
Parameter Space
Interior
equations of state

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Slowly rotating fluid balls of Petrov type D. / Bradley, Michael; Eriksson, Daniel; Fodor, G.; Rácz, I.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 75, No. 2, 024013, 2007.

Research output: Contribution to journalArticle

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