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General Solution for a Class of Static Charged Spheres

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Abstract

We find a class of solutions to the Einstein–Maxwell system for a charged sphere with a particular choice of the electric field intensity by assuming a particular form for the hypersurfaces {t = constant}. In the uncharged limit we regain static stars studied previously. A qualitative analysis of the physical features of the model is performed. The presence of charge allows for more general behaviour than is the case for uncharged spheres. In particular we show that the causal signals are permitted over a wider range of parameters in the presence of charge. Also we show that our solutions satisfy a simple scaling relationship.

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Authors and Affiliations

  1. Department of Physics, North Bengal University, India

    R. Sharma & S. Mukherjee

  2. School of Mathematical and Statistical Sciences, University of Natal, South Africa

    S. D. Maharaj

Authors
  1. R. Sharma
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  2. S. Mukherjee
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  3. S. D. Maharaj
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Sharma, R., Mukherjee, S. & Maharaj, S.D. General Solution for a Class of Static Charged Spheres. General Relativity and Gravitation 33, 999–1009 (2001). https://doi.org/10.1023/A:1010272130226

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  • DOI: https://doi.org/10.1023/A:1010272130226

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