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    • A family of solutions to the Einstein–Maxwell system of equations describing relativistic charged fluid spheres

      K KOMATHIRAJ RANJAN SHARMA

      Research Article Volume 90 Issue 5 May 2018 Article ID 0068

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/090/05/0068

    • Keywords

       

      Relativistic star; exact solutions; Einstein–Maxwell system

    • Abstract

       

      In this paper, we present a formalism to generate a family of interior solutions to the Einstein–Maxwell system of equations for a spherically symmetric relativistic charged fluid sphere matched to the exterior Reissner–Nordström space–time. By reducing the Einstein–Maxwell system to a recurrence relation with variable rational coefficients, we show that it is possible to obtain closed-form solutions for a specific range of model parameters. A large class of solutions obtained previously are shown to be contained in our general class of solutions. We also analyse the physical viability of our new class of solutions.

    • Author Affiliations

       

      K KOMATHIRAJ1 RANJAN SHARMA2

      1. Department of Mathematical Sciences, Faculty of Applied Sciences, South Eastern University, Oluvil, Sri Lanka
      2. Department of Physics, P.D. Women’s College, Jalpaiguri 735 101, India

    • Dates

       
      Published
      10 May 2018
      Manuscript received
      29 September 2017
      Manuscript revised
      15 December 2017
      Accepted
      19 December 2017
      Early published
      Unedited version published online
      Final version published online
      24 April 2018

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