Gravitational Stability and Bulk Cosmology

dc.creatorCarlevaro, Nakia
dc.creatorMontani, Giovanni
dc.date2007-10-01
dc.date2007-12-05
dc.date.accessioned2026-07-07T12:54:57Z
dc.date.available2026-07-07T12:54:57Z
dc.descriptionWe present a discussion of the effects induced by bulk viscosity either on the very early Universe stability and on the dynamics associated to the extreme gravitational collapse of a gas cloud. In both cases the viscosity coefficient is related to the energy density $ρ$ via a power-law of the form $ζ=ζ_0 ρ^s$ (where $ζ_0, s=const.$) and the behavior of the density contrast in analyzed. In the first case, matter filling the isotropic and homogeneous background is described by an ultra-relativistic equation of state. The analytic expression of the density contrast shows that its growth is suppressed forward in time as soon as $ζ_0$ overcomes a critical value. On the other hand, in such a regime, the asymptotic approach to the initial singularity admits an unstable collapsing picture. In the second case, we investigate the top-down fragmentation process of an uniform and spherically symmetric gas cloud within the framework of a Newtonian approach, including the negative pressure contribution associated to the bulk viscous phenomenology. In the extreme regime toward the singularity, we show that the density contrast associated to an adiabatic-like behavior of the gas (which is identified by a particular range of the politropic index) acquire, for sufficiently large viscous contributions, a vanishing behavior which prevents the formation of sub-structures. Such a feature is not present in the isothermal-like collapse. We also emphasize that in the adiabatic-like case bulk viscosity is also responsible for the appearance of a threshold scale (equivalent to a Jeans length) beyond which perturbations begin to increase.
dc.description13 pages, no figure
dc.identifierhttps://arxiv.org/abs/0710.0313
dc.identifierhttp://arxiv.org/abs/0710.0313
dc.identifierAIP Conf. Proc. 966, 241-248 (2008)
dc.identifierdoi:10.1063/1.2837002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224116
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titleGravitational Stability and Bulk Cosmology
dc.typetext

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