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GR: Gravitation und Relativitätstheorie

GR 8: Einstein-Yang-Mills klassisch, Skalarfelder, Ströme

GR 8.3: Vortrag

Donnerstag, 20. März 1997, 14:40–15:00, HS 132

Sequences of Solutions in SU(4) Einstein-Yang-Mills-Dilaton Theory — •Abha Sood, Jutta Kunz, Marion Wirschins, and Burkhard Kleihaus — Fachbereich Physik, Universität Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany

SU(4) Einstein-Yang-Mills-dilaton theory possesses sequences of static spherically symmetric neutral sphaleron solutions and neutral as well as charged black hole solutions. The solutions depend on the dilaton coupling constant γ and on the horizon. The solutions are labelled by the nodes (n₁,n₂,n₃) of the three gauge field functions, u₁, u₂ and u₃. The equations are symmetric under the interchange of u₁ and u₃. We here classify all solutions in sequences. To characterize these sequences of solutions we employ the running index n and the fixed indices i and j. The magnetically neutral sequences of solutions converge to magnetically charged limiting solutions, and the charged sequences of solutions converge to solutions with greater charge. The limiting solutions of the regular solutions are “extreme” solutions. The sequences (i,j,n) converge to charged SU(3)-like solutions, the sequences (i,n,j) converge to charged SU(2)timesSU(2)-like solutions, the sequences (n,i,n) and (n,n,i) converge to charged SU(2)-like solutions and the sequences (n,n,n) converge to Einstein-Maxwell-Dilaton solutions.