Charged analogue of well behaved neutral spheres: an algorithmic approach

  • We establish a systematic algorithmic approach that generates new classes of solutions to the Einstein-Maxwell system in static spherically symmetric spacetime from well known uncharged solutions. A particular case is shown to satisfy all major physical features of a realistic charged star including the standard point-wise energy conditions of normal matter. The solution matches smoothly with the exterior Reissner-Nordström metric at the pressure free interface. The study, which is reported for a particular choice of gravitational potential, encourages similar approaches to study electrification of well known physically realistic uncharged models.
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S. Thirukkanesh and F. C. Ragel. Charged analogue of well behaved neutral spheres: an algorithmic approach[J]. Chinese Physics C, 2016, 40(4): 045101. doi: 10.1088/1674-1137/40/4/045101
S. Thirukkanesh and F. C. Ragel. Charged analogue of well behaved neutral spheres: an algorithmic approach[J]. Chinese Physics C, 2016, 40(4): 045101.  doi: 10.1088/1674-1137/40/4/045101 shu
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Charged analogue of well behaved neutral spheres: an algorithmic approach

    Corresponding author: S. Thirukkanesh, thirukkanesh@esn.ac.lk
    Corresponding author: F. C. Ragel, thirukkanesh@esn.ac.lk
  • 1.  Department of Mathematics, Eastern University, Chenkalady, Sri Lanka
  • 2.  Department of Physics, Eastern University, Chenkalady, Sri Lanka

Abstract: We establish a systematic algorithmic approach that generates new classes of solutions to the Einstein-Maxwell system in static spherically symmetric spacetime from well known uncharged solutions. A particular case is shown to satisfy all major physical features of a realistic charged star including the standard point-wise energy conditions of normal matter. The solution matches smoothly with the exterior Reissner-Nordström metric at the pressure free interface. The study, which is reported for a particular choice of gravitational potential, encourages similar approaches to study electrification of well known physically realistic uncharged models.

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