scholarly journals The Dynamical Instability of Static, Spherically Symmetric Solutions in Nonsymmetric Gravitational Theories

1998 ◽  
Vol 30 (10) ◽  
pp. 1501-1520 ◽  
Author(s):  
M. A. Clayton ◽  
L. Demopoulos ◽  
J. Légaré
Keyword(s):  
Dynamical Instability ◽  
Spherically Symmetric ◽  
Gravitational Theories ◽  
Spherically Symmetric Solutions ◽  
Static Spherically Symmetric Solutions

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.

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