One of the outstanding issues of general relativity is that of the final state of gravitational collapse. Understandably, much has been written about spherical collapse , but comparatively less is known about non-spherical geometries. Thorne’s seminal analysis of cylindrical collapse 2 led him to formulate the hoop conjecture, which essentially states that horizons form when and only when the g...

We want to study the perturbation growth of an initial seed of an ellipsoidal shape in Top-Hat collapse model of the structure formation in the Modied Chaplygin gas cosmology. Considering reasonable values of the constants and the parameters of the model under study, we can show that a very small deviation from spherical symmetry (ellipsoidal geometry) in the initial seed leads to a nal highly ...

We investigate here the final state of gravitational collapse a non-spherical and non-marginally bound dust cloud as modeled by Szekeres spacetime. show that directionally globally naked singularity can be formed in this case near collapsing boundary, not at its geometric center is typically for spherical collapse. This strong curvature sense Tipler criterion on strength. The null geodesics esc...

This paper studies the non-spherical perturbations of the continuously selfsimilar critical solution of the gravitational collapse of a massless scalar field (the Roberts solution). The exact analysis of the perturbation equations reveals that there are no growing non-spherical perturbation modes. PACS numbers: 04.70.Bw, 05.70.Jk Typeset using REVTEX ∗Email: [email protected]