7 research outputs found
New Black Hole Solutions with Axial Symmetry in Einstein-Yang-Mills Theory
We construct new black hole solutions in Einstein-Yang-Mills theory. They are
static, axially symmetric and asymptotically flat. They are characterized by
their horizon radius and a pair of integers (k,n), where k is related to the
polar angle and n to the azimuthal angle. The known spherically and axially
symmetric EYM black holes have k=1. For k>1, pairs of new black hole solutions
appear above a minimal value of n, that increases with k. Emerging from
globally regular solutions, they form two branches, which merge and end at a
maximal value of the horizon radius. The difference of their mass and their
horizon mass equals the mass of the corresponding regular solution, as expected
from the isolated horizon framework.Comment: 11 pages, 3 figure
Non-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
non-abelian solutions tend to magnetically charged limiting solutions, related
to embedded abelian solutions. Thermodynamic properties of the black hole
solutions are addressed.Comment: LaTeX, 14 pages, 6 postscript figures; typos corrected in reference
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
in , these solutions are labelled by the node numbers of
the three gauge field functions , and . 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 and
, 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.Comment: 40 pages, 5 tables, 19 Postscript figures, use revtex.st