39 research outputs found
Analytic calculation of quasi-normal modes
We discuss the analytic calculation of quasi-normal modes of various types of
perturbations of black holes both in asymptotically flat and anti-de Sitter
spaces. We obtain asymptotic expressions and also show how corrections can be
calculated perturbatively. We pay special attention to low-frequency modes in
anti-de Sitter space because they govern the hydrodynamic properties of a gauge
theory fluid according to the AdS/CFT correspondence. The latter may have
experimental consequencies for the quark-gluon plasma formed in heavy ion
collisions.Comment: 33 pages, prepared for the proceedings of the 4th Aegean Summer
School on Black Holes, Mytilene, Greece, September 200
Perturbations of anti-de Sitter black holes
I review perturbations of black holes in asymptotically anti-de Sitter space.
I show how the quasi-normal modes governing these perturbations can be
calculated analytically and discuss the implications on the hydrodynamics of
gauge theory fluids per the AdS/CFT correspondence. I also discuss phase
transitions of hairy black holes with hyperbolic horizons and the dual
superconductors emphasizing the analytical calculation of their properties.Comment: 25 pages, 4 figures, prepared for the proceedings of the 5th Aegean
Summer School "From Gravity to Thermal Gauge Theories: the AdS/CFT
Correspondence," Milos, Greece, September 2009
Low frequency quasi-normal modes of AdS black holes
We calculate analytically low frequency quasi-normal modes of gravitational
perturbations of AdS Schwarzschild black holes in dimensions. We arrive at
analytic expressions which are in agreement with their counterparts from
linearized hydrodynamics in , in accordance with the
AdS/CFT correspondence. Our results are also in good agreement with results of
numerical calculations.Comment: 14 page
Geometric Finiteness and Non-quasinormal Modes of the BTZ Black Hole
The BTZ black hole is geometrically finite. This means that its three
dimensional hyperbolic structure as encoded in its metric is in 1-1
correspondence with the Teichmuller space of its boundary, which is a two
torus. The equivalence of different Teichmuller parameters related by the
action of the modular group therefore requires the invariance of the
monodromies of the solutions of the wave equation around the inner and outer
horizons in the BTZ background. We show that this invariance condition leads to
the non-quasinormal mode frequencies discussed by Birmingham and Carlip.Comment: 8 Pages, Latex file, minor changes in the text, journal versio
Asymptotic quasinormal modes of scalar field in a gravity's rainbow
In the context of a gravity's rainbow, the asymptotic quasinormal modes of
the scalar perturbation in the quantum modified Schwarzschild black holes are
investigated. By using the monodromy method, we calculated and obtained the
asymptotic quasinormal frequencies, which are dominated not only by the mass
parameter of the spacetime, but also by the energy functions from the modified
dispersion relations. However, the real parts of the asymptotic quasinormal
modes is still , which is consistent with Hod's conjecture. In
addition, for the quantum corrected black hole, the area spacing is calculated
and the result is independent of the energy functions, in spite of the area
itself is energy dependence. And that, by relating the area spectrum to loop
quantum gravity, the Barbero-Immirzi parameter is given and it remains the same
as from the usual black hole
On the quasinormal modes of the de Sitter spacetime
Modifying a method by Horowitz and Hubeny for asymptotically anti-de Sitter
black holes, we establish the classical stability of the quasinormal modes of
the de Sitter spacetime. Furthermore using a straightforward method we
calculate the de Sitter quasinormal frequencies of the gravitational
perturbations and discuss some properties of the radial functions of these
quasinormal modes.Comment: 11 pages, 4 figure
Perturbative Calculation of Quasinormal Modes of --Dimensional Black Holes
We study analytically quasinormal modes in a wide variety of black hole
spacetimes, including --dimensional asymptotically flat spacetimes and
non-asymptotically flat spacetimes (particular attention has been paid to the
four dimensional case). We extend the analytical calculation to include
first-order corrections to analytical expressions for quasinormal mode
frequencies by making use of a monodromy technique. All possible type
perturbations are included in this paper. The calculation performed in this
paper show that systematic expansions for uncharged black holes include
different corrections with the ones for charged black holes. This difference
makes them have a different --dependence relation in the first-order
correction formulae. The method applied above in calculating the first-order
corrections of quasinormal mode frequencies seems to be unavailable for black
holes with small charge. This result supports the Neitzke's prediction. On what
concerns quantum gravity we confirm the view that the in
Schwarzschild seems to be nothing but some numerical coincidences.Comment: 49 pages, 5 figure
Gravitational quasinormal radiation of higher-dimensional black holes
We find the gravitational resonance (quasinormal) modes of the higher
dimensional Schwarzschild and Reissner-Nordstrem black holes. The effect on the
quasinormal behavior due to the presence of the term is investigated.
The QN spectrum is totally different for different signs of . In more
than four dimensions there excited three types of gravitational modes: scalar,
vector, and tensor. They produce three different quasinormal spectra, thus the
isospectrality between scalar and vector perturbations, which takes place for
D=4 Schwarzschild and Schwarzschild-de-Sitter black holes, is broken in higher
dimensions. That is the scalar-type gravitational perturbations, connected with
deformations of the black hole horizon, which damp most slowly and therefore
dominate during late time of the black hole ringing.Comment: 13 pages, 2 figures, several references are adde
The Highly Damped Quasinormal Modes of -dimensional Reissner-Nordstrom Black Holes in the Small Charge Limit
We analyze in detail the highly damped quasinormal modes of -dimensional
Reissner-Nordstrm black holes with small charge, paying
particular attention to the large but finite damping limit in which the
Schwarzschild results should be valid. In the infinite damping limit, we
confirm using different methods the results obtained previously in the
literature for higher dimensional Reissner-Nordstrm black holes.
Using a combination of analytic and numerical techniques we also calculate the
transition of the real part of the quasinormal mode frequency from the
Reissner-Nordstrm value for very large damping to the
Schwarzschild value of for intermediate damping. The real
frequency does not interpolate smoothly between the two values. Instead there
is a critical value of the damping at which the topology of the
Stokes/anti-Stokes lines change, and the real part of the quasinormal mode
frequency dips to zero.Comment: 18 pages, 8 figure