Charged Cylindrical Collapse of Anisotropic Fluid

Details Charged Cylindrical Collapse of Anisotropic Fluid Charged Cylindrical Collapse of Anisotropic Fluid

2010-08-13

arxiv.org/abs/1008.2679v1

Gen.Rel.Grav.43:127-142,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, accepted for publication in Gen. Relativ. Grav

Scientific paper

10.1007/s10714-010-1076-3

Following the scheme developed by Misner and Sharp, we discuss the dynamics of gravitational collapse. For this purpose, an interior cylindrically symmetric spacetime is matched to an exterior charged static cylindrically symmetric spacetime using the Darmois matching conditions. Dynamical equations are obtained with matter dissipating in the form of shear viscosity. The effect of charge and dissipative quantities over the cylindrical collapse are studied. Finally, we show that homogeneity in energy density and conformal flatness of spacetime are necessary and sufficient for each other.

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