Speaker
Hassan Mehmood
(University of New Brunswick)
Description
During the gravitational collapse of pressureless fluids in spherical symmetry, matter particles may collide with each other, forming what are called shell crossing surfaces. The differential equations governing the system become indeterministic at these surfaces, beyond which, therefore, the evolution of matter has to be determined by some other mechanism. This can be done by writing the equations in coordinates in which they turn out to be hyperbolic conservation laws; extensions beyond shell crossings can be formulated as weak solutions to a conservation law. But distinct ways of writing the conservation law yield distinct extensions. We show that the demand of metric continuity across a shell crossing gives a unique extension.
| Presenter's Name | Hassan Mehmood |
|---|---|
| Presenter's Email Address | [email protected] |
| Recording Permission | YES |
| Virtual Audience Permission | YES |
| Event Photography | I understand |
Authors
Hassan Mehmood
(University of New Brunswick)
Viqar Husain
(University of New Brunswick)
