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• W2034673723 abstract "A formalism to deal with high-order perturbations of a general spherical background was developed in earlier work [D. Brizuela, J. M. Mart'{i}n-Garc'{i}a, and G. A. Mena Marug'an, Phys. Rev. D 74, 044039 (2006); D. Brizuela, J. M. Mart'{i}n-Garc'{i}a, and G. A. Mena Marug'an, Phys. Rev. D 76, 024004 (2007)]. In this paper, we apply it to the particular case of a perfect fluid background. We have expressed the perturbations of the energy-momentum tensor at any order in terms of the perturbed fluid's pressure, density, and velocity. In general, these expressions are not linear and have sources depending on lower-order perturbations. For the second-order case we make the explicit decomposition of these sources in tensor spherical harmonics. Then, a general procedure is given to evolve the perturbative equations of motions of the perfect fluid for any value of the harmonic label. Finally, with the problem of a spherical collapsing star in mind, we discuss the high-order perturbative matching conditions across a timelike surface, in particular, the surface separating the perfect fluid interior from the exterior vacuum." @default.
• W2034673723 created "2016-06-24" @default.
• W2034673723 creator A5071301081 @default.
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• W2034673723 date "2010-11-17" @default.
• W2034673723 modified "2023-10-18" @default.
• W2034673723 title "High-order perturbations of a spherical collapsing star" @default.
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• W2034673723 doi "https://doi.org/10.1103/physrevd.82.104039" @default.
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