Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-03-24
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, 7 figures
Scientific paper
A spherically symmetric distribution of classical blackbody radiation is considered, at conditions in which gravitational self-interaction effects become not negligible. Static solutions to Einstein field equations are searched for, for each choice of the assumed central energy density. Spherical cavities at thermodynamic equilibrium, i.e. filled with blackbody radiation, are then studied, in particular for what concerns the relation among the mass M of the ball of radiation contained in them and their temperature at center and at the boundary. For these cavities it is shown, in particular, that: i) there is no absolute limit to M as well to their central and boundary temperatures; ii) when radius R is fixed, however, limits exist both for mass and for boundary energy density rho_B: M <= K M_S(R) and rho_B <= Q/R^2, with K = 0.493 and Q = 0.02718, dimensionless, and M_S(R) the Schwarzschild mass for that radius. Some implications of the existence and the magnitude of these limits are considered. Finally the radial profiles for entropy for these systems are studied, in their dependence on the mass (or central temperature) of the ball of radiation.
No associations
LandOfFree
Mass and temperature limits for blackbody radiation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Mass and temperature limits for blackbody radiation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mass and temperature limits for blackbody radiation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-90894