38 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
Thick Domain Walls Intersecting 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 show that there exist scalar field configurations
representing thick domain walls intersecting the black hole.Comment: 14 pages, 8 figure
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
Mass and angular momenta of Kerr anti-de Sitter spacetimes in Einstein-Gauss-Bonnet theory
We compute the mass and angular momenta of rotating anti-de Sitter spacetimes
in Einstein-Gauss-Bonnet theory of gravity using a superpotential derived from
standard Noether identities. The calculation relies on the fact that the
Einstein and Einstein-Gauss-Bonnet vacuum equations are the same when
linearized on maximally symmetric backgrounds and uses the recently discovered
D-dimensional Kerr-anti-de Sitter solutions to Einstein's equations
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
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