23 research outputs found
Gravity Waves from Kerr/CFT
Dynamics at large redshift near the horizon of an extreme Kerr black hole are
governed by an infinite-dimensional conformal symmetry. This symmetry may be
exploited to analytically, rather than numerically, compute a variety of
potentially observable processes. In this paper we compute and study the
conformal transformation properties of the gravitational radiation emitted by
an orbiting mass in the large-redshift near-horizon region.Comment: 23 pages, v2: reference added, minor changes, matches published
version, v3: typos correcte
Near- perturbations and the connection with near-extreme Reissner-Nordstrom
The geometry very near the horizon of a near-extreme Reissner-Nordstrom black
hole is described by the direct product of a near- spacetime with a
two-sphere. While near- is locally diffeomorphic to the two
connect differently with the asymptotically flat part of the geometry of
(near-)extreme Reissner-Nordstrom. In previous work, we solved analytically the
coupled gravitational and electromagnetic perturbation equations of
and the associated connection problem with extreme
Reissner-Nordstrom. In this paper, we give the solution for perturbations of
near- and make the connection with near-extreme
Reissner-Nordstrom. Our results here may also be thought of as computing the
classical scattering matrix for gravitational and electromagnetic waves which
probe the region very near the horizon of a highly charged spherically
symmetric black hole.Comment: 14 pages, v2: Conclusion section added, Mathematica notebook
attached, matches published versio
Fast plunges into Kerr black holes
Most extreme-mass-ratio-inspirals of small compact objects into supermassive
black holes end with a fast plunge from an eccentric last stable orbit. For
rapidly rotating black holes such fast plunges may be studied in the context of
the Kerr/CFT correspondence because they occur in the near-horizon region where
dynamics are governed by the infinite dimensional conformal symmetry. In this
paper we use conformal transformations to analytically solve for the radiation
emitted from fast plunges into near-extreme Kerr black holes. We find perfect
agreement between the gravity and CFT computations.Comment: 16 pages, 2 figure
New Symmetries of Massless QED
An infinite number of physically nontrivial symmetries are found for abelian
gauge theories with massless charged particles. They are generated by large
gauge transformations that asymptotically approach an arbitrary function
on the conformal sphere at future null infinity
() but are independent of the retarded time. The value of
at past null infinity () is determined from that on
by the condition that it take the same value at either end of
any light ray crossing Minkowski space. The constant
symmetries are spontaneously broken in the usual vacuum. The associated
Goldstone modes are zero-momentum photons and comprise a boson living on
the conformal sphere. The Ward identity associated with this asymptotic
symmetry is shown to be the abelian soft photon theorem.Comment: 17 pages, v2: typos in equations correcte
Particle on the Innermost Stable Circular Orbit of a Rapidly Spinning Black Hole
We compute the radiation emitted by a particle on the innermost stable
circular orbit of a rapidly spinning black hole both (a) analytically, working
to leading order in the deviation from extremality and (b) numerically, with a
new high-precision Teukolsky code. We find excellent agreement between the two
methods. We confirm previous estimates of the overall scaling of the power
radiated, but show that there are also small oscillations all the way to
extremality. Furthermore, we reveal an intricate mode-by-mode structure in the
flux to infinity, with only certain modes having the dominant scaling. The
scaling of each mode is controlled by its conformal weight, a quantity that
arises naturally in the representation theory of the enhanced near-horizon
symmetry group. We find relationships to previous work on particles orbiting in
precisely extreme Kerr, including detailed agreement of quantities computed
here with conformal field theory calculations performed in the context of the
Kerr/CFT correspondence.Comment: 15 pages, 4 figures, v2: reference added, minor changes, matches
published versio
Horizon Acoustics of the GHS Black Hole and the Spectrum of
We uncover a novel structure in Einstein-Maxwell-dilaton gravity: an solution in string frame, which can be obtained by a
near-horizon limit of the extreme GHS black hole with dilaton coupling . Unlike the Bertotti-Robinson spacetime, our solution has independent
length scales for the and , with ratio controlled by
. We solve the perturbation problem for this solution, finding the
independently propagating towers of states in terms of superpositions of
gravitons, photons, and dilatons and their associated effective potentials.
These potentials describe modes obeying conformal quantum mechanics, with
couplings that we compute, and can be recast as giving the spectrum of the
effective masses of the modes. By dictating the conformal weights of boundary
operators, this spectrum provides crucial data for any future construction of a
holographic dual to these configurations.Comment: 34 pages, 3 figure
Charged Dilatonic Spacetimes in String Theory
We construct and study general static, spherically symmetric, magnetically
charged solutions in Einstein-Maxwell-dilaton gravity in four dimensions. That
is, taking Einstein gravity coupled to a gauge field and a
massless dilaton\unicode{x2014}e.g., the action in the low-energy limit of
string theory or Kaluza-Klein reduction\unicode{x2014}with arbitrary dilaton
coupling, we build a three-parameter family of objects characterized by their
mass, charge, and dilaton flux, generalizing the well known
Garfinkle-Horowitz-Strominger black hole. We analyze the near-extremal and
near-horizon behavior in detail, finding new warped geometries. In a particular
limit, where the geometry reduces to the recently discovered customizable of Einstein-Maxwell-dilaton gravity, we compute the static
s-wave linearized solutions and characterize the anabasis relating the horizon
perturbations to their nonlinear completions within our generalized family of
spacetimes.Comment: 19 pages, 2 figure