Singularities of Noncompact Charged Objects

Abstract

We formulate a model of noncompact spherical charged objects in the framework of noncommutative field theory. The Einstein-Maxwell field equations are solved with charged anisotropic fluid. We choose the forms of mass and charge densities which belong to two parameter family of density distribution functions instead of densities as Gaussian width length. It is found that the corresponding densities and the Ricci scalar are singular at origin whereas the metric is nonsingular indicating a spacelike singularity. The numerical solution of the horizon equation implies that there are either two or one or no horizon depending on the mass. We also evaluate the Hawking temperature which implies that a black hole with two horizons is evaporated to an extremal black hole with one horizon.

10 pages, 2 figures, accepted for publication in Chinese Physics B

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• The Stability of a Shearing Viscous Star with Electromagnetic Field
• Cardy-Verlinde Formula of Non-Commutative Schwarzschild Black Hole
• Gravitational Dust Collapse in $f(R)$ Gravity
• Thermodynamics of Phantom Energy Accreting onto a Black Hole in Einstein-Power-Maxwell Gravity
• Relativistic Polytropic Models of Charged Anisotropic Compact Object