Poisson type relativistic perfect fluid spheres

@article{GarciaReyes2018PoissonTR,
  title={Poisson type relativistic perfect fluid spheres},
  author={Gonzalo Garc'ia-Reyes},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2018}
}
  • 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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References

SHOWING 1-10 OF 50 REFERENCES
Newtonian and General Relativistic models of spherical shells
A family of spherical shells with varying thickness is derived by using a simple Newtonian potential–density pair. Then, a particular isotropic form of a metric in spherical coordinates is used to
Models of spherical shells as sources of Majumdar–Papapetrou type spacetimes
By starting with a seed Newtonian potential–density pair we construct relativistic thick spherical shell models for a Majumdar–Papapetrou type conformastatic spacetime. As a simple example, we
Stability of circular orbits of particles moving around black holes surrounded by axially symmetric structures
The Rayleigh criterion is used to study the stability of circular orbits of particles moving around static black holes surrounded by different axially symmetric structures with reflection symmetry,
Three-dimensional axisymmetric sources for Majumdar–Papapetrou type spacetimes
From Newtonian potential-density pairs, we construct three-dimensional axisymmetric relativistic sources for a Majumdar–Papapetrou type conformastatic spacetime. As simple examples, we build two
A general relativistic approach to the Navarro-Frenk-White galactic halos
Although galactic dark matter halos are basically Newtonian structures, the study of their interplay with large-scale cosmic evolution and with relativistic effects, such as gravitational lenses,
Structure scalars and evolution equations in f(G) cosmology
In this paper, we study the dynamics of self-gravitating fluid using structure scalars for spherical geometry in the context of f(G) cosmology. We construct structure scalars through orthogonal
A family of potential–density pairs for spherical galaxies and bulges
A family of spherical potential-density pairs is presented. The densities are proportional to r −4 at large radii and diverge in the centre as r −γ with 0≤γ<3. The models of Jaffe and Hernquist are
Analytical families of two-component anisotropic polytropes and their relativistic extensions
In this paper, we study a family of two-component anisotropic polytropes which model a wide range of spherically symmetric astrophysical systems such as early-type baryonic galaxies. This family is
A first course in general relativity
Preface 1. Fundamental principles of special relativity 2. Vector analysis in special relativity 3. Tensor analysis in special relativity 4. Perfect fluids in special relativity 5. Preface to
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