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High-order perturbations of a spherical collapsing star

Brizuela, David and Martín-García, José M. and Sperhake, Ulrich and Kokkotas, Kostas D. (2010) High-order perturbations of a spherical collapsing star. Physical Review D, 82 (10). Art. No. 104039. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:20101215-084714129

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevD.82.104039 DOIArticle
http://prd.aps.org/abstract/PRD/v82/i10/e104039PublisherArticle
http://link.aps.org/doi/10.1103/PhysRevD.82.104039PublisherArticle
ORCID:
AuthorORCID
Sperhake, Ulrich0000-0002-3134-7088
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.
Funders:
Funding AgencyGrant Number
Ministerio de Ciencia e Innovación (MCINN)FIS2008-06078-C03-03
Agence Nationale de la Recherche (ANR)BLAN07-1_201699
Deutsche Forschungsgemeinschaft (DFG)SFB/TR7
Ministerio de Educación y Ciencia (MEC)UNSPECIFIED
Fundação para a Ciência ea Tecnologia (FCT)PTDC/FIS/098025/2008
Sherman Fairchild FoundationUNSPECIFIED
NSFPHY-0601459
NSFPHY-0652995
NSFPHY-1057238
NSFPHY-090003
Centro de Supercomputacion de Galicia (CESGA)ICTS-2009-40
Classification Code:PACS: 04.25.Nx, 04.30.Db, 04.40.Dg
Record Number:CaltechAUTHORS:20101215-084714129
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20101215-084714129
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:21371
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:15 Dec 2010 18:44
Last Modified:25 Feb 2016 00:05

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