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https://hdl.handle.net/1822/27787
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Campo DC | Valor | Idioma |
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dc.contributor.author | Mena, Filipe C. | - |
dc.contributor.author | Delliou, Morgan Le | - |
dc.contributor.author | Mimoso, José P. | - |
dc.date.accessioned | 2014-02-03T17:51:00Z | - |
dc.date.available | 2014-02-03T17:51:00Z | - |
dc.date.issued | 2013-08-01 | - |
dc.identifier.issn | 1550-7998 | por |
dc.identifier.uri | https://hdl.handle.net/1822/27787 | - |
dc.description.abstract | We investigate spherically symmetric spacetimes with an anisotropic fluid and discuss the existence and stability of a dividing shell separating expanding and collapsing regions. We resort to a 3 + 1 splitting and obtain gauge invariant conditions relating intrinsic spacetimes quantities to properties of the matter source. We find that the dividing shell is defined by a generalization of the Tolman- Oppenheimer-Volkoff equilibrium condition. The latter establishes a balance between the pressure gradients, both isotropic and anisotropic, and the strength of the fields induced by the Misner- Sharp mass inside the separating shell and by the pressure fluxes. This defines a local equilibrium condition, but conveys also a non-local character given the definition of the Misner-Sharp mass. By the same token, it is also a generalized thermodynamical equation of state as usually interpreted for the perfect fluid case, which now has the novel feature of involving both the isotropic and the anisotropic stress. We have cast the governing equations in terms of local, gauge invariant quantities which are revealing of the role played by the anisotropic pressures and inhomogeneous electric part of the Weyl tensor. We analyse a particular solution with dust and radiation that provides an illustration of our conditions. In addition, our gauge invariant formalism not only encompasses the cracking process from Herrera and coworkers but also reveals transparently the interplay and importance of the shear and of the anisotropic stresses. | por |
dc.description.sponsorship | The authors wish to thank the anonymous referee for many enlightening comments and suggestions and Jose Fernando Pascual-Sanchez for helpful discussions. M. Le D. also wishes to thank Michele Fontanini, Daniel Guariento and Elcio Abdalla for helpful discussions. The work of M. Le D. has been supported by CSIC (JAEDoc072), CICYT (FPA2006-05807) in Spain and FAPESP (2011/24089-5) in Brazil. F.C.M. thanks CMAT, Univ. Minho, for support through FEDER Funds COMPETE and FCT Projects No. Est-C/MAT/UI0013/2011, No. PTDC/MAT/108921/2008 and No. CERN/FP/123609/2011. M. Le D. and J. P. M. acknowledge the CAAUL's Project No. PEst-OE/FIS/UI2751/2011. J. P. M. also wishes to thank FCT for Grants No. CERN/FP/123615/2011 and No. CERN/FP/123618/2011. | por |
dc.language.iso | eng | por |
dc.publisher | AIP Publishing | por |
dc.rights | restrictedAccess | por |
dc.title | Local conditions separating expansion from collapse in spherically symmetric models with anisotropic pressures | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
sdum.publicationstatus | published | por |
oaire.citationStartPage | 043501 | por |
oaire.citationEndPage | 043501 | por |
oaire.citationIssue | 4 | por |
oaire.citationTitle | Physical review D : Particles and fields | por |
oaire.citationVolume | 88 | por |
dc.identifier.doi | 10.1103/PhysRevD.88.043501 | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Physical Review D - Particles, Fields, Gravitation and Cosmology | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
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1302.6186v3.pdf Acesso restrito! | 361,68 kB | Adobe PDF | Ver/Abrir |