Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-02-20
Phys.Rev.D58:084006,1998
Physics
High Energy Physics
High Energy Physics - Theory
40 pages, 5 tables, 19 Postscript figures, use revtex.sty
Scientific paper
10.1103/PhysRevD.58.084006
SU(4) Einstein-Yang-Mills theory possesses sequences of static spherically symmetric globally regular and black hole solutions. Considering solutions with a purely magnetic gauge field, based on the 4-dimensional embedding of $su(2)$ in $su(4)$, these solutions are labelled by the node numbers $(n_1,n_2,n_3)$ of the three gauge field functions $u_1$, $u_2$ and $u_3$. We classify the various types of solutions in sequences and determine their limiting solutions. The limiting solutions of the sequences of neutral solutions carry charge, and the limiting solutions of the sequences of charged solutions carry higher charge. For sequences of black hole solutions with node structure $(n,j,n)$ and $(n,n,n)$, several distinct branches of solutions exist up to critical values of the horizon radius. We determine the critical behaviour for these sequences of solutions. We also consider SU(4) Einstein-Yang-Mills-dilaton theory and show that these sequences of solutions are analogous in most respects to the corresponding SU(4) Einstein-Yang-Mills sequences of solutions.
Kleihaus Burkhard
Kunz Jutta
Sood Abha
Wirschins Marion
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