scholarly journals Global spherically symmetric solutions to the equations of a viscous polytropic ideal gas in an exterior domain

1996 ◽  
Vol 178 (2) ◽  
pp. 339-374 ◽  
Author(s):  
Song Jiang
Keyword(s):  
Exterior Domain ◽  
Ideal Gas ◽  
Spherically Symmetric ◽  
Spherically Symmetric Solutions

GRAVITATIONAL COLLAPSE OF NEWTONIAN STARS

2000 ◽  
Vol 09 (01) ◽  
pp. 35-42 ◽  
Author(s):  
JUNG-HWAN JUN ◽  
YOUNG KWAK HO
Keyword(s):  
Equation Of State ◽  
Gravitational Collapse ◽  
Analytic Solutions ◽  
Ideal Gas ◽  
Oscillatory Behavior ◽  
Small Oscillation ◽  
Spherically Symmetric ◽  
Thermodynamic Equation ◽  
Spherically Symmetric Solutions ◽  
Collapse Behavior

We investigate spherically symmetric solutions for nonrelativistic cosmological fluid equations and thermodynamic equation of state for Newtonian stars of ideal gas. Using simple ansätze it is shown that the assumption of a polytrope, [Formula: see text], at the center of the star only suffices to obtain analytic solutions. We find collapse behavior for γ≤4/3 and oscillatory behavior for γ>4/3 along with the discussion on their mechanisms. For the oscillatory behavior we obtained the frequency of small oscillation ω which is [Formula: see text] times that obtained by Zel'dovich and Novikov.

scholarly journals FERMIONS IN THE BACKGROUND OF DILATONIC SPHALERONS

1994 ◽  
Vol 09 (40) ◽  
pp. 3731-3739 ◽  
Author(s):  
GEORGE LAVRELASHVILI
Keyword(s):  
Gauge Field ◽  
Field Potential ◽  
Spherically Symmetric ◽  
Yang Mills ◽  
Zero Modes ◽  
Discrete Sequence ◽  
Number Of Zeros ◽  
Spherically Symmetric Solutions ◽  
Static Spherically Symmetric Solutions

We discuss the properties and interpretation of a discrete sequence of a static spherically symmetric solutions of the Yang-Mills dilaton theory. This sequence is parametrized by the number of zeros, n, of a component of the gauge field potential. It is demonstrated that solutions with odd n possess all the properties of the sphaleron. It is shown that there are normalizable fermion zero modes in the background of these solutions. The question of instability is critically analyzed.

scholarly journals Intersecting Electric and Magnetic p-branes: Spherically Symmetric Solutions

1999 ◽  
Vol 31 (11) ◽  
pp. 1681-1702 ◽  
Author(s):  
K. A. Bronnikov ◽  
U. Kasper ◽  
M. Rainer
Keyword(s):  
Spherically Symmetric ◽  
Spherically Symmetric Solutions
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