Models of spherical shells as sources of Majumdar–Papapetrou type spacetimes

García-Reyes, Gonzalo

doi:10.1007/s10714-017-2197-8

Cited by 5 publications

(2 citation statements)

References 36 publications

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“…On the plane θ = π /2, the circular speed is (García‐Reyes )

v_{c}^{2} = \frac{v_{N c}^{2}}{1 - \frac{Φ}{2} - v_{N c}^{2}},

where

v_{N c}^{2} = r Φ_{N, r}

is the Newtonian circular speed, and the specific angular momentum

h^{2} = \frac{r^{2} {(1 - \frac{Φ}{2})}^{4} v_{N c}^{2}}{1 - \frac{Φ}{2} - 2 v_{N c}^{2}} .

…”

Section: Spherical Sources Of Majumdar–papapetrou Type Spacetimesmentioning

confidence: 99%

Axisymmetric and spherical sources of Majumdar–Papapetrou type spacetimes

García-Reyes

2017

Astron Nachr

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From a Newtonian potential–density pair we construct axisymmetric and spherical relativistic sources for a Majumdar–Papapetrou type conformastatic spacetime. As a first example, we considerer a family of Plummer–Hernquist type relativistic spherical sources, and as a second application we construct relativistic galaxy models from the Miyamoto–Nagai potential–density pair. The models also include dark matter. We study the equatorial circular motion of test particles around such configurations. Also, the stability of the orbits is analyzed for radial perturbation using an extension of the Rayleigh criterion. The models considered satisfy all the energy conditions.

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“…On the plane θ = π /2, the circular speed is (García‐Reyes )

v_{c}^{2} = \frac{v_{N c}^{2}}{1 - \frac{Φ}{2} - v_{N c}^{2}},

where

v_{N c}^{2} = r Φ_{N, r}

is the Newtonian circular speed, and the specific angular momentum

h^{2} = \frac{r^{2} {(1 - \frac{Φ}{2})}^{4} v_{N c}^{2}}{1 - \frac{Φ}{2} - 2 v_{N c}^{2}} .

…”

Section: Spherical Sources Of Majumdar–papapetrou Type Spacetimesmentioning

confidence: 99%

Axisymmetric and spherical sources of Majumdar–Papapetrou type spacetimes

García-Reyes

2017

Astron Nachr

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“…[11,12] for Schwarzschild type space-times, also used in [13] for the same space-time, and in Ref. [14] for Majumdar-Papapetrou type fields. This same approach and spacetime was also used in [15] in the construction of three-dimensional axisymmetric sources.…”

Section: Introductionmentioning

confidence: 99%

Poisson type relativistic perfect fluid spheres

García-Reyes

2018

Preprint

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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 of test particles around such structures is studied. The stability of the orbits against radial perturbations is also analyzed using an extension of the Rayleigh criteria of stability of a fluid in rest in a gravitational field. The models considered satisfy all the energy conditions.

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Poisson type conformastat spherically symmetric anisotropic fluid spacetimes

García-Reyes

2022

Chinese Journal of Physics

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Models of spherical shells as sources of Majumdar–Papapetrou type spacetimes

Cited by 5 publications

References 36 publications

Axisymmetric and spherical sources of Majumdar–Papapetrou type spacetimes

Axisymmetric and spherical sources of Majumdar–Papapetrou type spacetimes

Poisson type relativistic perfect fluid spheres

Poisson type conformastat spherically symmetric anisotropic fluid spacetimes

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