Impact of Relativistic Fireballs on External Matter Numerical Models of Cosmological Gamma.pdfVIP
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Impact of Relativistic Fireballs on External Matter Numerical Models of Cosmological Gamma
IMPACT OF RELATIVISTIC FIREBALLS ON EXTERNAL MATTER:
NUMERICAL MODELS OF COSMOLOGICAL GAMMA-RAY BURSTS
A. Panaitescu, L. Wen1, P. Laguna2 P. M´esz´aros2
Department of Astronomy Astrophysics,
Pennsylvania State University, University Park, PA 16802
7
9 ABSTRACT
9
1
r We numerically model the interaction between an expanding fireball and a stationary
a
external medium whose density is either homogeneous or varies with distance as a power-law.
M The evolution is followed until most of the fireball kinetic energy is converted into internal
8 energy. The density, pressure and flow Lorentz factor profiles are shown at different stages,
2 including shock and rarefaction wave reflections, for a fireball of initial bulk Lorentz factor
Γ = 100, both in the adiabatic and non-adiabatic (radiative) regimes. For cooling times shorter
2
v than the dynamic time, bolometric light-curves are computed for values of Γ = 50, 100 and 200.
4 We compare the numerical light-curves with analytic results, and find that for a homogeneous
6 external medium there is a simple scaling relationship among light-curves obtained for different
0
0 parameters. The light-curves for power-law external densities are similar in shape to those in
1 the homogeneous case. We discuss the implications of a comparison of the results with observed
6 Gamma-Ray Burst time histories.
9
/
h
p Subject headings: gamma-rays: bursts - hydrodynamics - methods: numerical - relativity - shock
-
o wave
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