scholarly journals Singularities in spherically symmetric solutions with limited curvature invariants

2018 ◽  
Vol 2018 (07) ◽  
pp. 022-022 ◽  
Author(s):  
Daisuke Yoshida ◽  
Robert H. Brandenberger
Keyword(s):  
Spherically Symmetric ◽  
Curvature Invariants ◽  
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.

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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