Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-09-27
Phys.Rev.D75:024017,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
RevTeX; 32 pp. Accepted by Phys. Rev. D. Added references and extra comments in introduction
Scientific paper
10.1103/PhysRevD.75.024017
Perturbed stationary axisymmetric isolated bodies, e.g. stars, represented by a matter-filled interior and an asymptotically flat vacuum exterior joined at a surface where the Darmois matching conditions are satisfied, are considered. The initial state is assumed to be static. The perturbations of the matching conditions are derived and used as boundary conditions for the perturbed Ernst equations in the exterior region. The perturbations are calculated to second order. The boundary conditions are overdetermined: necessary and sufficient conditions for their compatibility are derived. The special case of perturbations of spherical bodies is given in detail.
MacCallum Malcolm A. H.
Mars Marc
Vera Raül
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