Limiting Solutions of Sequences of Globally Regular and Black Hole Solutions in Su(n)-eymd Theories
نویسنده
چکیده
Static spherically symmetric solutions in SU(N)-EYM and EYMD theories are classified by the node numbers of their non-trivial gauge field functions. With increasing node numbers, the solutions form sequences, tending to limiting solutions. The limiting solutions are based on subalgebras of su(N), consisting of a neutral non-abelian part and a charged abelian part, belonging to the Cartan subalgebra.
منابع مشابه
Sequences of Globally Regular and Black Hole Solutions in Su(4) Einstein-yang-mills Theory
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 (n1, n2, n3) of the three gauge field functions u1, u2 and u3. We classify the various types of solutions ...
متن کاملSequences of Einstein-Yang-Mills-dilaton black holes.
Einstein-Yang-Mills-dilaton theory possesses sequences of neutral static spherically symmetric black hole solutions. The solutions depend on the dilaton coupling constant γ and on the horizon. The SU(2) solutions are labelled by the number of nodes n of the single gauge field function, whereas the SO(3) solutions are labelled by the nodes (n1, n2) of both gauge field functions. The SO(3) soluti...
متن کاملNon-Abelian Einstein-Born-Infeld Black Holes
We construct regular and black hole solutions in SU(2) Einstein-Born-Infeld theory. These solutions have many features in common with the corresponding SU(2) Einstein-Yang-Mills solutions. In particular, sequences of neutral nonabelian solutions tend to magnetically charged limiting solutions, related to embedded abelian solutions. Thermodynamic properties of the black hole solutions are addres...
متن کاملEinstein-Yang-Mills Sphalerons and Black Holes
In the SU(3) Einstein-Yang-Mills system sequences of static spherically symmetric regular solutions and black hole solutions exist for both the SU(2) and the SO(3) embedding. We construct the lowest regular solutions of the SO(3) embedding, missed previously, and the corresponding black holes. The SO(3) solutions are classified according to their boundary conditions and the number of nodes of t...
متن کاملEinstein-yang/mills Equations
Spherically symmetric solutions to the Einstein-Yang/Mills equations with gauge group SU (2) have been investigated by many authors, c.f. [1-8]. These equations take the form of a second order ordinary differential equation for the connection coeffici ent w, coupled to a first order equation for the metric coefficient A, (together with a de-coupled first-order equation for the metric coefficien...
متن کامل