334 research outputs found
Scalar field perturbation on six-dimensional ultra-spinning black holes
We have studied the scalar field perturbations on six-dimensional
ultra-spinning black holes. We have numerically calculated the quasinormal
modes of rotating black holes. Our results suggest that such perturbations are
stable.Comment: 8 pages, 6 figures; v2:typo corrected; v3:ref. corrected; v4:revise
Vacuum solutions of five dimensional Einstein equations generated by inverse scattering method
We study stationary and axially symmetric two solitonic solutions of five
dimensional vacuum Einstein equations by using the inverse scattering method
developed by Belinski and Zakharov. In this generation of the solutions, we use
five dimensional Minkowski spacetime as a seed. It is shown that if we restrict
ourselves to the case of one angular momentum component, the generated solution
coincides with a black ring solution with a rotating two sphere which was found
by Mishima and Iguchi recently.Comment: 10 pages, accepted for publication in Physical Review
Boundary Value Problem for Black Rings
We study the boundary value problem for asymptotically flat stationary black
ring solutions to the five-dimensional vacuum Einstein equations. Assuming the
existence of two additional commuting axial Killing vector fields and the
horizon topology of , we show that the only asymptotically flat
black ring solution with a regular horizon is the Pomeransky-Sen'kov black ring
solution.Comment: 21 pages, 1 figur
Reissner-Nordstrom Black Holes and Thick Domain Walls
We solve numerically equations of motion for real self-interacting scalar
fields in the background of Reissner-Nordstrom black hole and obtained a
sequence of static axisymmetric solutions representing thick domain walls
charged black hole systems. In the case of extremal Reissner-Nordstrom black
hole solution we find that there is a parameter depending on the black hole
mass and the width of the domain wall which constitutes the upper limit for the
expulsion to occur.Comment: 18 pages, 10 figures, accepted for Phys. Rev.
Thick domain walls around a black hole
We discuss the gravitationally interacting system of a thick domain wall and
a black hole. We numerically solve the scalar field equation in the
Schwarzschild spacetime and obtain a sequence of static axi-symmetric solutions
representing thick domain walls. We find that, for the walls near the horizon,
the Nambu--Goto approximation is no longer valid.Comment: 18 pages, 11 figures, one reference adde
Topology Change of Coalescing Black Holes on Eguchi-Hanson Space
We construct multi-black hole solutions in the five-dimensional
Einstein-Maxwell theory with a positive cosmological constant on the
Eguchi-Hanson space, which is an asymptotically locally Euclidean space. The
solutions describe the physical process such that two black holes with the
topology of S^3 coalesce into a single black hole with the topology of the lens
space L(2;1)=S^3/Z_2. We discuss how the area of the single black hole after
the coalescence depends on the topology of the horizon.Comment: 10 pages, Some comments are added. to be published as a letter in
Classical and Quantum Gravit
Energy flux through the horizon in the black hole-domain wall systems
We study various configurations in which a domain wall (or cosmic string),
described by the Nambu-Goto action, is embedded in a background space-time of a
black hole in and higher dimensional models. We calculate energy fluxes
through the black hole horizon. In the simplest case, when a static domain wall
enters the horizon of a static black hole perperdicularly, the energy flux is
zero. In more complicated situations, where parameters which describe the
domain wall surface are time and position dependent, the flux is non-vanishing
is principle. These results are of importance in various conventional
cosmological models which accommodate the existence of domain walls and strings
and also in brane world scenarios.Comment: references added, accepted for publication in JHE
Hidden symmetry of the three-dimensional Einstein-Maxwell equations
It is shown how to generate three-dimensional Einstein-Maxwell fields from
known ones in the presence of a hypersurface-orthogonal non-null Killing vector
field. The continuous symmetry group is isomorphic to the Heisenberg group
including the Harrison-type transformation. The symmetry of the
Einstein-Maxwell-dilaton system is also studied and it is shown that there is
the transformation between the Maxwell and the dilaton fields.
This transformation is identified with the Geroch
transformation of the four-dimensional vacuum Einstein equation in terms of the
Ka{\l}uza-Klein mechanism.Comment: 5 page
Cosmological Black Holes on Branes
We examined analytically a cosmological black hole domain wall system. Using
the C-metric construction we derived the metric for the spacetime describing an
infinitely thin domain wall intersecting a cosmological black hole. We studied
the behaviour of the scalar field describing a self-interacting cosmological
domain wall and find the approximated solution valid for large distances. The
thin wall approximation and the back raection problem were elaborated finding
that the topological kink solution smoothed out singular behaviour of the zero
thickness wall using a core topological and hence thick domain wall. We also
analyze the nucleation of cosmological black holes on and in the presence of a
domain walls and conclude that the domain wall will nucleate small black holes
on it rather than large ones inside.Comment: 13 pages, Revtex, to be published in Phys.Rev. D1
Gravitational Radiation from Cylindrical Naked Singularity
We construct an approximate solution which describes the gravitational
emission from a naked singularity formed by the gravitational collapse of a
cylindrical thick shell composed of dust. The assumed situation is that the
collapsing speed of the dust is very large. In this situation, the metric
variables are obtained approximately by a kind of linear perturbation analysis
in the background Morgan solution which describes the motion of cylindrical
null dust. The most important problem in this study is what boundary conditions
for metric and matter variables should be imposed at the naked singularity. We
find a boundary condition that all the metric and matter variables are
everywhere finite at least up to the first order approximation. This implies
that the spacetime singularity formed by this high-speed dust collapse is very
similar to that formed by the null dust and thus the gravitational emission
from a naked singularity formed by the cylindrical dust collapse can be gentle.Comment: 20 pages, 1 figur
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