Poisson type relativistic perfect fluid spheres

  title={Poisson type relativistic perfect fluid spheres},
  author={Gonzalo Garc'ia-Reyes},
  journal={arXiv: General Relativity and Quantum Cosmology},
  • Gonzalo Garc'ia-Reyes
  • Published 12 December 2018
  • Physics, Mathematics
  • arXiv: General Relativity and Quantum Cosmology
Static spherically symmetric solutions of the Einstein's field equations in isotropic coordinates representing perfect fluid matter distributions from Newtonian potential-density pairs are investigated. The approach is illustrated with three simple examples based on the potential-density pairs corresponding to a harmonic oscillator (homogeneous sphere), the well-known Plummer model and a massive spherical dark matter halo model with a logarithm potential. Moreover, the geodesic circular motion… 
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