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Non-Commutative Correction to Thin Shell Collapse in Reissner Nordstrm Geometry
This paper investigates the polytropic matter shell collapse in the
non-commutative Reissner-Nordstrm geometry. Using the Israel
criteria, equation of motion for the polytropic matter shell is derived. In
order to explore the physical aspects of this equation, the most general
equation of state, , has been used for finite
and infinite values of . The effective potentials corresponding to the
equation of motion have been used to explain different states of the matter
shell collapse. The numerical solution of the equation of motion predicts
collapse as well as expansion depending on the choice of initial data. Further,
in order to include the non-commutative correction, we modify the matter
components and re-formulate the equation of motion as well as the corresponding
effective potentials by including non-commutative factor and charge parameter.
It is concluded that charge reduces the velocity of the expanding or collapsing
matter shell but does not bring the shell to static position. While the
non-commutative factor with generic matter favors the formation of black hole.Comment: 18 pages,17 figure