Journal ArticleDOI
On Datta's spherically symmetric systems in general relativity
TLDR
In this paper, the problem of non-static spherically symmetric systems in which the particle motion is, in a certain sense, purely transverse, is further developed and compared with the Newtonian case.Abstract:
The problem tackled by B. K. Datta, [1] in a recent paper concerning non-static spherically symmetric systems in which the particle motion is, in a certain sense, purely transverse, is further developed and compared with the Newtonian case. A full classification of the possible motions is given.read more
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Journal ArticleDOI
Conformally flat anisotropic spheres in general relativity
TL;DR: In this paper, the vanishing of the Weyl tensor is integrated in the spherically symmetric case, and the resulting expression is used to find new, conformally flat, interior solutions to Einstein equations for locally anisotropic fluids.
Journal ArticleDOI
Equilibrium configurations from gravitational collapse
TL;DR: In this article, a new procedure within Einstein's theory of gravity was developed to generate equilibrium configurations that result as the final state of gravitational collapse from regular initial conditions, assuming that the collapsing fluid is supported only by tangential pressure.
Journal ArticleDOI
Physical Processes in Naked Singularity Formation.
TL;DR: In this article, the authors review examples of naked singularity formation and recent progress in research of observable physical processes such as quantum particle creation from the formation of an observable high-curvature, strong-gravity region.
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Gravitational collapse with non-vanishing tangential stresses: a generalization of the Tolman - Bondi model
TL;DR: In this paper, a large class of non-static, spherically symmetric solutions of the Einstein field equations is found by quadratures and the solutions contain three arbitrary functions: the initial distributions of mass and energy, familiar from the Tolman - Bondi (dust) models, while the elastic internal energy per unit volume.
Journal ArticleDOI
Spherical relativistic vacuum core models in a $\Lambda$-dominated era
TL;DR: In this article, the effects of the cosmological constant in the evolution of exact analytical collapsing vacuum core celestial models are analyzed, where relativistic spherical geometry coupled with null expansion locally anisotropic matter distributions is considered.
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