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Gravitational collapse of cylindrical anisotropic fluid: a source of gravitational waves

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Abstract

The present work deals with dynamics of gravitational collapse with cylindrical symmetry as developed by Misner and Sharp. The interior collapsing anisotropic cylindrical perfect fluid is matched to an exterior vacuum cylindrically symmetric space-time due to Einstein–Rosen using the Darmois matching conditions. It is found that the radial pressure of the anisotropic perfect fluid is non-zero on the boundary surface and is related to the components of shear viscosity. As a result, there is formation of gravitational waves outside the collapsing matter.

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Acknowledgments

One of the author (SC) is thankful to UGC-DRS programme, Department of Mathematics, Jadavpur University. The authors are thankful to the reviewer for pointing out the error and for valuable suggestions. The authors are also grateful to L. Herrera and N. O. Santos for their help in detecting the error.

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Authors and Affiliations

  1. Department of Mathematics, Tarakeswar Degree College, Tarakeswar, India

    Sanjukta Chakraborty

  2. Department of Mathematics, Jadavpur University, Kolkata, 700 032, India

    Subenoy Chakraborty

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  1. Sanjukta Chakraborty
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  2. Subenoy Chakraborty
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Correspondence to Sanjukta Chakraborty.

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Chakraborty, S., Chakraborty, S. Gravitational collapse of cylindrical anisotropic fluid: a source of gravitational waves. Gen Relativ Gravit 46, 1784 (2014). https://doi.org/10.1007/s10714-014-1784-1

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  • DOI: https://doi.org/10.1007/s10714-014-1784-1

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