Strong curvature singularities in quasi-spherical asymptotically de Sitter dust collapse

Abstract

We study the occurrence, visibility, and curvature strength of singularities in dust-containing Szekeres spacetimes (which possess no Killing vectors) with a positive cosmological constant. We find that such singularities can be locally naked, Tipler strong and develop from a non-zero-measure set of regular initial data. When examined along timelike geodesics, the singularity's curvature strength is found to be independent of the initial data.

Quasi-Spherical Gravitational Collapse in Any Dimension

“…The quasi-spherical dust collapse models, given by Szekeres metric [17] were analyzed by Szekeres himself [18], Joshi and Krolak [19], Deshingkar, Joshi and Jhingan [20] and extensively by Goncalves [21]. The solutions for dust and a non-zero cosmological constant were found by Barrow and Stein-Schabes [26].…”

Naked singularities in higher dimensional Szekeres space–time

“…Afterwards, it was studied further by Joshi et al [19] and extensively by Goncalves [20]. Recently, we have obtained solutions for (n + 2)-dimensional Szekeres space-time with perfect fluid (or dust) as the matter content [21].…”

Does particle creation mechanism favour formation of black hole or naked singularity?

“…radiating collapse). On the other hand, Cissoko et al [22] and Goncalves [23] studied junction conditions of a non-static collapsing object with a static interior. Gravitational collapse in the presence of dark energy has been investigated in [24] and [25].…”