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A Radiating Schwarzschild Interior Solution


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1 Department of Mathematics, Gujarat University, Ahmedabad-380009, India
     

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An interior solution of Einstein’s field equations corresponding to perfect fluid plus a pure radiation Field is presented. This solution is based on the Schwarschild’s interior solution for a homogeneous fluid sphere in hydrostatic equilibrium. Our interior solution is matched with the exterior Vaidya solution across a moving boundary. Some physical features of the solution are described and numerical estimates of various physical parameters are derived.
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  • A Radiating Schwarzschild Interior Solution

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Authors

P. C. Vaidya
Department of Mathematics, Gujarat University, Ahmedabad-380009, India
L. K. Patel
Department of Mathematics, Gujarat University, Ahmedabad-380009, India

Abstract


An interior solution of Einstein’s field equations corresponding to perfect fluid plus a pure radiation Field is presented. This solution is based on the Schwarschild’s interior solution for a homogeneous fluid sphere in hydrostatic equilibrium. Our interior solution is matched with the exterior Vaidya solution across a moving boundary. Some physical features of the solution are described and numerical estimates of various physical parameters are derived.