TY - JOUR
T1 - On a radiating fluid in a general relativistic context
AU - Greco, Antonio
AU - Gambino, Gaetana
PY - 2006
Y1 - 2006
N2 - A model for the radiation hydrodynamics in general relativity is analyzed,describing the gravitational collapse and supernovae explosion. As these physicalphenomena can be assumed spherically symmetric, the equations of motionfor a unique fluid, representing the interaction between matter and radiation,are written in a spherical symmetric space-time with respect to a comovingframe. The system is completed by using the Eddington closure, assuming alocal thermodynamical equilibrium for the radiation field. The resulting systemis analyzed by the Lie symmetry approach and a reduction to an ODEs systemis obtained. Numerical simulations of the solutions are performed, showing arealistic enough description of the physical phenomena.
AB - A model for the radiation hydrodynamics in general relativity is analyzed,describing the gravitational collapse and supernovae explosion. As these physicalphenomena can be assumed spherically symmetric, the equations of motionfor a unique fluid, representing the interaction between matter and radiation,are written in a spherical symmetric space-time with respect to a comovingframe. The system is completed by using the Eddington closure, assuming alocal thermodynamical equilibrium for the radiation field. The resulting systemis analyzed by the Lie symmetry approach and a reduction to an ODEs systemis obtained. Numerical simulations of the solutions are performed, showing arealistic enough description of the physical phenomena.
KW - Exact solutions
KW - Lie symmetries
KW - Radiation hydrodynamics
KW - Exact solutions
KW - Lie symmetries
KW - Radiation hydrodynamics
UR - http://hdl.handle.net/10447/31852
M3 - Article
VL - 78
SP - 121
EP - 131
JO - RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO. SUPPLEMENTO
JF - RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO. SUPPLEMENTO
SN - 1592-9531
ER -