The Asymptotic Form of the Energy Density of Weakly Interacting Particles in a Static, Spherical Geometry
Abstract
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 $r$.
 Publication:

arXiv eprints
 Pub Date:
 May 1993
 arXiv:
 arXiv:hepph/9305303
 Bibcode:
 1993hep.ph....5303S
 Keywords:

 High Energy Physics  Phenomenology;
 Astrophysics;
 General Relativity and Quantum Cosmology
 EPrint:
 PlainTex, 12pages