2,044 research outputs found
Charged rotating Kaluza-Klein multi-black holes and multi-black strings in five-dimensional Einstein-Maxwell theory
We construct exact solutions, which represent regular charged rotating
Kaluza-Klein multi-black holes in the five-dimensional pure Einstein-Maxwell
theory. Quantization conditions between the mass, the angular momentum, and
charges appear from the regularity condition of horizon. We also obtain
multi-black string solutions by taking some limits in the solutions. We extend
the black hole solutions to the five-dimensional Einstein-Maxwell-Chern-Simons
theory with an arbitrary Chern-Simons coupling constant.Comment: 14 pages. arXiv admin note: substantial text overlap with
arXiv:1206.481
Hawking radiation as tunneling from squashed Kaluza-Klein black hole
We discuss Hawking radiation from a five-dimensional squashed Kaluza-Klein
black hole on the basis of the tunneling mechanism. A simple manner, which was
recently suggested by Umetsu, is possible to extend the original derivation by
Parikh and Wilczek to various black holes. That is, we use the two-dimensional
effective metric, which is obtained by the dimensional reduction near the
horizon, as the background metric. By using same manner, we derive both the
desired result of the Hawking temperature and the effect of the back reaction
associated with the radiation in the squashed Kaluza-Klein black hole
background.Comment: 16 page
Quantum Hydrodynamics, Quantum Benjamin-Ono Equation, and Calogero Model
Collective field theory for Calogero model represents particles with
fractional statistics in terms of hydrodynamic modes -- density and velocity
fields. We show that the quantum hydrodynamics of this model can be written as
a single evolution equation on a real holomorphic Bose field -- quantum
integrable Benjamin-Ono equation. It renders tools of integrable systems to
studies of nonlinear dynamics of 1D quantum liquids.Comment: 5 pages, 1 figur
On the tau-functions of the Degasperis-Procesi equation
The DP equation is investigated from the point of view of
determinant-pfaffian identities. The reciprocal link between the
Degasperis-Procesi (DP) equation and the pseudo 3-reduction of the
two-dimensional Toda system is used to construct the N-soliton solution of the
DP equation. The N-soliton solution of the DP equation is presented in the form
of pfaffian through a hodograph (reciprocal) transformation. The bilinear
equations, the identities between determinants and pfaffians, and the
-functions of the DP equation are obtained from the pseudo 3-reduction of
the two-dimensional Toda system.Comment: 27 pages, 4 figures, Journal of Physics A: Mathematical and
Theoretical, to be publishe
Exact one-periodic and two-periodic wave solutions to Hirota bilinear equations in 2+1 dimensions
Riemann theta functions are used to construct one-periodic and two-periodic
wave solutions to a class of (2+1)-dimensional Hirota bilinear equations. The
basis for the involved solution analysis is the Hirota bilinear formulation,
and the particular dependence of the equations on independent variables
guarantees the existence of one-periodic and two-periodic wave solutions
involving an arbitrary purely imaginary Riemann matrix. The resulting theory is
applied to two nonlinear equations possessing Hirota bilinear forms:
and
where , thereby yielding their one-periodic and two-periodic wave
solutions describing one dimensional propagation of waves
Quantum Shock Waves - the case for non-linear effects in dynamics of electronic liquids
Using the Calogero model as an example, we show that the transport in
interacting non-dissipative electronic systems is essentially non-linear.
Non-linear effects are due to the curvature of the electronic spectrum near the
Fermi energy. As is typical for non-linear systems, propagating wave packets
are unstable. At finite time shock wave singularities develop, the wave packet
collapses, and oscillatory features arise. They evolve into regularly
structured localized pulses carrying a fractionally quantized charge - {\it
soliton trains}. We briefly discuss perspectives of observation of Quantum
Shock Waves in edge states of Fractional Quantum Hall Effect and a direct
measurement of the fractional charge
Hanohano:A Deep Ocean Antineutrino Observatory
This paper presents the science potential of a deep ocean antineutrino
observatory being developed at Hawaii and elsewhere. The observatory design
allows for relocation from one site to another. Positioning the observaory some
60 km distant from a nuclear reactor complex enables preecision measurement of
neutrino mixing parameters, leading to a determination of neutrino mass
hierarchy and theta_13. At a mid-Pacific location, the observatory measures the
flux of uranium and thorium decay series antineutrinos from earth's mantle and
performs a sensitive search for a hypothetical natural fission reactor in
earth's core. A subequent deployment at another mid-ocean location would test
lateral homogeneity of uranium and thorium in earth's mantle. These
measurements have significance for earth energy studies.Comment: Poster presented at ICHEP08, Philadelphia, USA, July 2008. 3 pages.
PD
Ultrashort pulses and short-pulse equations in dimensions
In this paper, we derive and study two versions of the short pulse equation
(SPE) in dimensions. Using Maxwell's equations as a starting point, and
suitable Kramers-Kronig formulas for the permittivity and permeability of the
medium, which are relevant, e.g., to left-handed metamaterials and dielectric
slab waveguides, we employ a multiple scales technique to obtain the relevant
models. General properties of the resulting -dimensional SPEs, including
fundamental conservation laws, as well as the Lagrangian and Hamiltonian
structure and numerical simulations for one- and two-dimensional initial data,
are presented. Ultrashort 1D breathers appear to be fairly robust, while rather
general two-dimensional localized initial conditions are transformed into
quasi-one-dimensional dispersing waveforms
Background light measurements at the DUMAND site
Ambient light intensities at the DUMAND site, west of the island of Hawaii were measured around the one photoelectron level. Throughout the water column between 1,500m and 4,700m, a substantial amount of stimulateable bioluminescence is observed with a ship suspended detector. But non-stimulated bioluminescence level is comparable, or less than, K sup 40 background, when measured with a bottom tethered detector typical of a DUMAND optical module
Kaluza-Klein Multi-Black Holes in Five-Dimensional Einstein-Maxwell Theory
We construct the Kaluza-Klein multi-black hole solutions on the
Gibbons-Hawking multi-instanton space in the five-dimensional Einstein-Maxwell
theory. We study geometric properties of the multi-black hole solutions. In
particular, unlike the Gibbons-Hawking multi-instanton solutions, each
nut-charge is able to take a different value due to the existence of black hole
on it. The spatial cross section of each horizon can be admitted to have the
topology of a different lens space L(n;1)=S^3/Z_n addition to S^3.Comment: 8 pages, to be published in Classical and Quantum Gravit
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