Regular Article - Theoretical Physics
Causal structure of singularity in non-spherical gravitational collapse
International Center for Cosmology, Charusat University, 388421, Anand, Gujarat, India
2 BITS Pilani K.K. Birla Goa Campus, 403726, Sancoale, Goa, India
3 Department of Theoretical Physics and Astronomy, Herzen State Pedagogical University of Russia, Moika 48, 191186, Saint-Petersburg, Russia
4 The SAO RAS, Pulkovskoe Shosse 65, 196140, St. Petersburg, Russia
Accepted: 3 May 2022
Published online: 11 May 2022
We investigate here the final state of gravitational collapse of a non-spherical and non-marginally bound dust cloud as modeled by the Szekeres spacetime. We show that a directionally globally naked singularity can be formed in this case near the collapsing cloud boundary and not at its geometric center, as is typically the case for a spherical gravitational collapse. This singularity is a strong curvature naked singularity in the sense of Tipler criterion on gravitational strength. The null geodesics escaping from the singularity would be less scattered in this case in certain directions since the singularity is close to the boundary of the cloud, as is the case in the current scenario. The physical implications are pointed out.
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