The Asymptotic Form of the Energy Density of Weakly Interacting Particles in a Static, Spherical Geometry

Details The Asymptotic Form of the Energy Density of Weakly Interacting Particles in a Static, Spherical Geometry The Asymptotic Form of the Energy Density of Weakly Interacting Particles in a Static, Spherical Geometry

1993-05-24

arxiv.org/abs/hep-ph/9305303v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

PlainTex, 12pages

Scientific paper

The asymptotic form of the energy density for a gas of particles surrounding
a sphere of mass $M$ and radius $R$ is studied using Einstein's equations. It
is shown that if the pressure of the gas $p$ varies linearly with the energy
density $\rho$ for small $\rho$, then $\rho\sim 1/r^2$ for large $r$.

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