146 research outputs found
Stationary Dyonic Regular and Black Hole Solutions
We consider globally regular and black hole solutions in SU(2)
Einstein-Yang-Mills-Higgs theory, coupled to a dilaton field. The basic
solutions represent magnetic monopoles, monopole-antimonopole systems or black
holes with monopole or dipole hair. When the globally regular solutions carry
additionally electric charge, an angular momentum density results, except in
the simplest spherically symmetric case. We evaluate the global charges of the
solutions and their effective action, and analyze their dependence on the
gravitational coupling strength. We show, that in the presence of a dilaton
field, the black hole solutions satisfy a generalized Smarr type mass formula.Comment: 23 pages, 4 figure
Rotating Einstein-Yang-Mills Black Holes
We construct rotating hairy black holes in SU(2) Einstein-Yang-Mills theory.
These stationary axially symmetric black holes are asymptotically flat. They
possess non-trivial non-Abelian gauge fields outside their regular event
horizon, and they carry non-Abelian electric charge. In the limit of vanishing
angular momentum, they emerge from the neutral static spherically symmetric
Einstein-Yang-Mills black holes, labelled by the node number of the gauge field
function. With increasing angular momentum and mass, the non-Abelian electric
charge of the solutions increases, but remains finite. The asymptotic expansion
for these black hole solutions includes non-integer powers of the radial
variable.Comment: 63 pages, 10 figure
Static Axially Symmetric Einstein-Yang-Mills-Dilaton Solutions: II.Black Hole Solutions
We discuss the new class of static axially symmetric black hole solutions
obtained recently in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton
theory. These black hole solutions are asymptotically flat and they possess a
regular event horizon. The event horizon is almost spherically symmetric with a
slight elongation along the symmetry axis. The energy density of the matter
fields is angle-dependent at the horizon. The static axially symmetric black
hole solutions satisfy a simple relation between mass, dilaton charge, entropy
and temperature. The black hole solutions are characterized by two integers,
the winding number and the node number of the purely magnetic gauge
field. With increasing node number the magnetically neutral black hole
solutions form sequences tending to limiting solutions with magnetic charge
, corresponding to Einstein-Maxwell-dilaton black hole solutions for finite
dilaton coupling constant and to Reissner-Nordstr\o m black hole solutions for
vanishing dilaton coupling constant.Comment: 41 pages including 45 postscript figures, RevTex forma
Axially Symmetric Monopoles and Black Holes in Einstein-Yang-Mills-Higgs Theory
We investigate static axially symmetric monopole and black hole solutions
with magnetic charge n > 1 in Einstein-Yang-Mills-Higgs theory. For vanishing
and small Higgs selfcoupling, multimonopole solutions are gravitationally
bound. Their mass per unit charge is lower than the mass of the n=1 monopole.
For large Higgs selfcoupling only a repulsive phase exists. The static axially
symmetric hairy black hole solutions possess a deformed horizon with constant
surface gravity. We consider their properties in the isolated horizon
framework, interpreting them as bound states of monopoles and black holes.
Representing counterexamples to the ``no-hair'' conjecture, these black holes
are neither uniquely characterized by their horizon area and horizon charge.Comment: 23 Revtex pages, 43 Postscript figure
Static Axially Symmetric Solutions of Einstein-Yang-Mills-Dilaton Theory
We construct static axially symmetric solutions of SU(2)
Einstein-Yang-Mills-dilaton theory. Like their spherically symmetric
counterparts, these solutions are nonsingular and asymptotically flat. The
solutions are characterized by the winding number n and the node number k of
the gauge field functions. For fixed n with increasing k the solutions tend to
``extremal'' Einstein-Maxwell-dilaton black holes with n units of magnetic
charge.Comment: 11 pages, including 2 postscript figure
Stationary Black Holes with Static and Counterrotating Horizons
We show that rotating dyonic black holes with static and counterrotating
horizon exist in Einstein-Maxwell-dilaton theory when the dilaton coupling
constant exceeds the Kaluza-Klein value. The black holes with static horizon
bifurcate from the static black holes. Their mass decreases with increasing
angular momentum, their horizons are prolate.Comment: 4 pages, 6 figure
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
Static black hole solutions with axial symmetry
We construct a new class of asymptotically flat black hole solutions in
Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory. These black hole
solutions are static, and they have a regular event horizon. However, they
possess only axial symmetry. Like their regular counterparts, the black hole
solutions are characterized by two integers, the winding number and the
node number of the gauge field functions.Comment: 14 pages, including 4 postscript figures, LaTe
Monopoles, Antimonopoles and Vortex Rings
We present a new class of static axially symmetric solutions of SU(2)
Yang-Mills-Higgs theory, where the Higgs field vanishes on rings centered
around the symmetry axis. Associating a magnetic dipole moment with each Higgs
vortex ring, the dipole moments add for solutions in the trivial topological
sector, whereas they cancel for magnetically charged solutions.Comment: 4 pages, 1 figur
Rotating Hairy Black Holes
We construct stationary black holes in SU(2) Einstein-Yang-Mills theory,
which carry angular momentum and electric charge. Possessing non-trivial
non-abelian magnetic fields outside their regular event horizon, they represent
non-perturbative rotating hairy black holes.Comment: 13 pages, including 4 eps figures, LaTex forma
- …