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Mode stability of a near-extremal Kerr superspinar
Rittick Roy, Prashant Kocherlakota, Pankaj S. Joshi
We study here the quasi-normal mode stability of a near-extremal Kerr superspinar, an exotic spinning compact object that exceeds the Kerr bound, under gravitational perturbations.…
A General Relativistic Approach to Small-Scale Structure Formation
Dipanjan Dey, Prashant Kocherlakota, Pankaj S. Joshi
We treat here general relativistically the issue of galaxy formation, which is a major problem in cosmology. While the current models use a top-hat collapse model, coupled with New…
An Approach to Stability Analyses in General Relativity via Symplectic Geometry
Prashant Kocherlakota, Pankaj S. Joshi
We begin with a review of the statements of non-linear, linear and mode stability of autonomous dynamical systems in classical mechanics, using symplectic geometry. We then discuss…