Mass and radius of cosmic balloons

Details Mass and radius of cosmic balloons Mass and radius of cosmic balloons

Jan 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994stin...9519031w&link_type=abstract

Unknown

Statistics

Computation

Balloons, Computational Astrophysics, Cosmic Gases, Galactic Evolution, Mathematical Models, Relativistic Particles, Solitary Waves, Approximation, Boundary Conditions, Computerized Simulation, Density (Mass/Volume), Domain Wall, Radii, Weighting Functions

Scientific paper

Cosmic balloons are spherical domain walls with relativistic particles trapped inside. We derive the exact mass and radius relations for a static cosmic balloon using Gauss-Codazzi equations. The cosmic balloon mass as a function of its radius, M(R), is found to have a functional form similar to that of fermion soliton stars, with a fixed point at 2GM(R)/R approximately or equal to 0.486 which corresponds to the limit of infinite central density. We derive a simple analytical approximation for the mass density of a spherically symmetric relativistic gas star. When applied to the computation of the mass and radius of a cosmic balloon, the analytical approximation yields fairly good agreement with the exact numerical solutions.

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