Lemaitre-Tolman-Bondi cosmological models, smoothness, and positivity of the central deceleration parameter

dc.creatorVanderveld, R. Ali
dc.creatorFlanagan, Eanna E.
dc.creatorWasserman, Ira
dc.date2009-04-28
dc.date2009-05-07
dc.date.accessioned2026-07-07T13:12:06Z
dc.date.available2026-07-07T13:12:06Z
dc.descriptionWe argued in a previous paper [R. A. Vanderveld et al. 2006, arXiv:astro-ph/0602476] that negative deceleration parameters at the center of symmetry in Lemaitre-Tolman-Bondi cosmological models can only occur if the model is not smooth at the origin. Here we demonstrate explicitly the connection between non-smoothness and the failure of positivity theorems for deceleration. We also address some confusion that has arisen in the literature and respond to some recent criticisms of our arguments.
dc.description4 pages, no figures, revtex4
dc.identifierhttps://arxiv.org/abs/0904.4319
dc.identifierhttp://arxiv.org/abs/0904.4319
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229490
dc.subjectCosmology and Nongalactic Astrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleLemaitre-Tolman-Bondi cosmological models, smoothness, and positivity of the central deceleration parameter
dc.typetext

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