Gravitational Collapse of Perfect Fluid in N-Dimensional Spherically Symmetric Spacetimes

dc.creatorda Rocha, Jaime F. Villas
dc.creatorWang, Anzhong
dc.date1999-10-29
dc.date1999-11-12
dc.date.accessioned2026-07-07T03:33:40Z
dc.date.available2026-07-07T03:33:40Z
dc.descriptionThe Riemann, Ricci and Einstein tensors for N-dimensional spherically symmetric spacetimes in various systems of coordinates are studied, and the general metric for conformally flat spacetimes is given. As an application, all the Friedmann-Robertson-Walker-like solutions for a perfect fluid with an equation of state $p = k ρ$ are found. Then, these solutions are used to model the gravitational collapse of a compact ball, by first cutting them along a timelike hypersurface and then joining them with asymptotically flat Vaidya solutions. It is found that when the collapse has continuous self-similarity, the formation of black holes always starts with zero mass, and when the collapse has no such symmetry, the formation of black holes always starts with a finite non-zero mass.
dc.descriptionSome typos are corrected, and new references are added
dc.identifierhttps://arxiv.org/abs/gr-qc/9910109
dc.identifierhttp://arxiv.org/abs/gr-qc/9910109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/36661
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleGravitational Collapse of Perfect Fluid in N-Dimensional Spherically Symmetric Spacetimes
dc.typetext

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