High-order perturbations of a spherical collapsing star
Abstract
A formalism to deal with high-order perturbations of a general spherical background was developed in earlier work [D. Brizuela, J. M. Martín-García, and G. A. Mena Marugán, Phys. Rev. D 74, 044039 (2006); D. Brizuela, J. M. Martín-García, and G. A. Mena Marugán, 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.
Additional Information
© 2010 The American Physical Society. Received 28 September 2010; published 17 November 2010. This work was supported by the Spanish MICINN Project No. FIS2008-06078-C03-03, the French ANR Grant LISA Science No. BLAN07-1_201699, and by the Deutsche Forschungsgemeinschaft (DFG) via SFB/TR7. U. S. acknowledges support from the Ramón y Cajal Programme of the Spanish Ministry of Education and Sciences (MEC), by FCT-Portugal through Project No. PTDC/FIS/098025/2008 and by grants from the Sherman Fairchild Foundation to Caltech, by NSF Grants No. PHY-0601459, PHY-0652995, and PHY-1057238, and allocations through loni_numrel05, the TeraGrid Advanced Support Program under Grant No. PHY- 090003, and the Centro de Supercomputación de Galicia (CESGA) under Project No. ICTS-2009-40.Attached Files
Published - Brizuela2010p12102Phys_Rev_D.pdf
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Additional details
- Eprint ID
- 21371
- Resolver ID
- CaltechAUTHORS:20101215-084714129
- FIS2008-06078-C03-03
- Ministerio de Ciencia e Innovación (MCINN)
- BLAN07-1_201699
- Agence Nationale de la Recherche (ANR)
- SFB/TR7
- Deutsche Forschungsgemeinschaft (DFG)
- Ministerio de Educación y Ciencia (MEC)
- PTDC/FIS/098025/2008
- Fundação para a Ciência ea Tecnologia (FCT)
- Sherman Fairchild Foundation
- PHY-0601459
- NSF
- PHY-0652995
- NSF
- PHY-1057238
- NSF
- PHY-090003
- NSF
- ICTS-2009-40
- Centro de Supercomputacion de Galicia (CESGA)
- Created
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2010-12-15Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field