136 research outputs found
Goldstone models in D+1 dimensions, D=3,4,5, supporting stable and zero topological charge solutions
We study finite energy static solutions to a global symmetry breaking
Goldstone model described by an isovector scalar field in D+1 spacetime
dimensions. Both topologically stable multisolitons with arbitrary winding
numbers, and zero topological charge soliton--antisoliton solutions are
constructed numerically in D=3,4,5. We have explored the types of symmetries
the systems should be subjected to, for there to exist multisoliton and
soliton--antisoliton pairs in D=3,4,5,6. These findings are underpinned by
constructing numerical solutions in the examples. Subject to axial
symmetry, only multisolitons of all topological charges exist in even D, and in
odd D, only zero and unit topological charge solutions exist. Subjecting the
system to weaker than axial symmetries, results in the existence of all the
possibilities in all dimensions. Our findings apply also to finite 'energy'
solutions to Yang--Mills and Yang-Mills--Higgs systems, and in principle also
sigma models.Comment: 29 pages, 6 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
Interaction Energies of Generalised Monopoles
Generalisations of the 't Hooft-Polyakov monopole which can exhibit repulsion
only, attraction only, and both attraction and repulsion, between like
monopoles, are studied numerically. The models supporting these solitons are
SO(3) gauged Higgs models featuring Skyrme-like terms.Comment: 46 pages, including 22 postscript figures, LaTex forma
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
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
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
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
Generalized Weyl solutions in d=5 Einstein-Gauss-Bonnet theory: the static black ring
We argue that the Weyl coordinates and the rod-structure employed to
construct static axisymmetric solutions in higher dimensional Einstein gravity
can be generalized to the Einstein-Gauss-Bonnet theory. As a concrete
application of the general formalism, we present numerical evidence for the
existence of static black ring solutions in Einstein-Gauss-Bonnet theory in
five spacetime dimensions. They approach asymptotically the Minkowski
background and are supported against collapse by a conical singularity in the
form of a disk. An interesting feature of these solutions is that the
Gauss-Bonnet term reduces the conical excess of the static black rings.
Analogous to the Einstein-Gauss-Bonnet black strings, for a given mass the
static black rings exist up to a maximal value of the Gauss-Bonnet coupling
constant . Moreover, in the limit of large ring radius, the suitably
rescaled black ring maximal value of and the black string maximal
value of agree.Comment: 43 pages, 14 figure
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