2,064 research outputs found
Numerical Integration of Nonlinear Wave Equations for General Relativity
A second-order numerical implementation is given for recently derived
nonlinear wave equations for general relativity. The Gowdy T cosmology is
used as a test bed for studying the accuracy and convergence of simulations of
one-dimensional nonlinear waves. The complete freedom in space-time slicing in
the present formulation is exploited to compute in the Gowdy line-element.
Second-order convergence is found by direct comparison of the results with
either analytical solutions for polarized waves, or solutions obtained from
Gowdy's reduced wave equations for the more general unpolarized waves. Some
directions for extensions are discussed.Comment: 19 pages (LaTex), 3 figures (ps
Past and future gauge in numerical relativity
Numerical relativity describes a discrete initial value problem for general
relativity. A choice of gauge involves slicing space-time into space-like
hypersurfaces. This introduces past and future gauge relative to the
hypersurface of present time. Here, we propose solving the discretized Einstein
equations with a choice of gauge in the future and a dynamical gauge in the
past. The method is illustrated on a polarized Gowdy wave.Comment: To appear in Class Quantum Grav, Let
Electric Charge and Magnetic Flux on Rotating Black Holes in a Force-Free Magnetosphere
The electric charge on rotating black holes is calculated to be ~ BJ in the
force-free configuration of Ghosh (2000), with a horizon flux of ~ BM^2. This
charge is gravitationally weak for B ~ 10^{15} G, so that the Kerr metric
applies. Being similar to the electric charge of a magnetar, both electric
charge and magnetic flux should be, in sign and order of magnitude, continuous
during stellar collapse into a black hole. Extraction of the rotational energy
from newly formed black holes may proceed by interaction with the magnetic
field. Keywords:black hole physics --magnetic fieldsComment: 11 pages, no figure, restructured with sections and revisions in
abstarct and in the text, version accepted for MNRA
Uniqueness in MHD in divergence form: right nullvectors and well-posedness
Magnetohydrodynamics in divergence form describes a hyperbolic system of
covariant and constraint-free equations. It comprises a linear combination of
an algebraic constraint and Faraday's equations. Here, we study the problem of
well-posedness, and identify a preferred linear combination in this divergence
formulation. The limit of weak magnetic fields shows the slow magnetosonic and
Alfven waves to bifurcate from the contact discontinuity (entropy waves), while
the fast magnetosonic wave is a regular perturbation of the hydrodynamical
sound speed. These results are further reported as a starting point for
characteristic based shock capturing schemes for simulations with
ultra-relativistic shocks in magnetized relativistic fluids.Comment: To appear in J Math Phy
Gravitational wave frequencies and energies in hypernovae
A torus develops a state of suspended accretion against a magnetic wall
around a rapidly rotating black hole formed in core-collapse hypernovae. It
hereby emits about 10% of the black hole spin-energy in gravitational radiation
from a finite number of multipole mass moments. We quantify the relation
between the frequency of quadrupole gravitational radiation and the energy
output in torus winds by , where denotes the mass of the black
hole. We propose that irradiates the remnant stellar envelope from
within. We identify with energies erg inferred from X-ray
observations on matter injecta; and the poloidal curvature in the magnetic wall
with the horizon opening angle in baryon poor outflows that power true GRB
energies of erg.Comment: To appear in AP
Non-thermal transient sources from rotating black holes
Rotating black holes can power the most extreme non-thermal transient
sources. They have a long-duration viscous time-scale of spin-down and produce
non-thermal emissions along their spin-axis, powered by a relativistic
capillary effect. We report on the discovery of exponential decay in BATSE
light curves of long GRBs by matched filtering, consistent with a viscous
time-scale, and identify UHECRs energies about the GZK threshold in linear
acceleration of ion contaminants along the black hole spin-axis, consistent
with black hole masses and lifetimes of FR II AGN. We explain the absence of
UHECRs from BL Lac objects due to UHECR emissions preferably at appreciable
angles away from the black hole spin-axis. Black hole spin may be key to
unification of GRBs and their host environments, and to AGN and their host
galaxies. Our model points to long duration bursts in radio from long GRBs
without supernovae and gravitational-waves from all long GRBs.Comment: Accepted by MNRA
Gravitational radiation from gamma-ray bursts as observational opportunities for LIGO and VIRGO
Gamma-ray bursts are believed to originate in core-collapse of massive stars.
This produces an active nucleus containing a rapidly rotating Kerr black hole
surrounded by a uniformly magnetized torus represented by two counter-oriented
current rings. We quantify black hole spin-interactions with the torus and
charged particles along open magnetic flux-tubes subtended by the event
horizon. A major output of Egw=4e53 erg is radiated in gravitational waves of
frequency fgw=500 Hz by a quadrupole mass-moment in the torus. Consistent with
GRB-SNe, we find (i) Ts=90s (tens of s, Kouveliotou et al. 1993), (ii)
aspherical SNe of kinetic energy Esn=2e51 erg (2e51 erg in SN1998bw, Hoeflich
et al. 1999) and (iii) GRB-energies Egamma=2e50 erg (3e50erg in Frail et al.
2001). GRB-SNe occur perhaps about once a year within D=100Mpc. Correlating
LIGO/Virgo detectors enables searches for nearby events and their spectral
closure density 6e-9 around 250Hz in the stochastic background radiation in
gravitational waves. At current sensitivity, LIGO-Hanford may place an upper
bound around 150MSolar in GRB030329. Detection of Egw thus provides a method
for identifying Kerr black holes by calorimetry.Comment: to appear in PRD, 49
On the detectability of gravitational waves background produced by gamma ray bursts
In this paper we discuss a new strategy for the detection of gravitational
radiation likely emitted by cosmological gamma ray burst. Robust and
conservative estimates lead to the conclusion that the uncorrelated
superimposition of bursts of gravitational waves can be detected by
interferometric detectors like VIRGO or LIGO. The expected signal is predicted
to carry two very distinctive signatures: the cosmological dipole anisotropy
and a characteristic time scale in the auto correlation spectrum, which might
be exploited, perhaps with ad hoc modifications and/or upgrading of the planned
experiments, to confirm the non-instrumental origin of the signal.Comment: 9 pages, 2 figures, LATEX2e, Accepted for pubblications as a Letter
to the Editor in Journal of Physics G: Nuclear and Particle Physic
Measurement of the ΔS=-ΔQ Amplitude from K_(e3)^0 Decay
We have measured the time distribution of the π^+e^-ν and π^-e^+ν modes from initial K^0's in a spark-chamber experiment performed at the Bevatron. From 1079 events between 0.2 and 7 K_S^0 lifetime, we find ReX=-0.069±0.036, ImX=+0.108_(-0.074)^(+0.092). This result is consistent with X=0 (relative probability = 0.25), but more than 4 standard deviations from the existing world average, +0.14 -0.13i
Возможностим развития конкуренции на рынках теплоснабжения Донбасса
Проаналізовано стан ситем теплопостачання Донбасу, виявлено зниження виробництва та відпуску теплової енергії, що викликано появою конкурента — автономного опалення. Обгрунтовано причини протиріччя законодавства, що регулює діяльність у сфері комунального теплопостачання — природної монополії, в результаті чого порушені конституційні, цивільні, споживчі права людей. Розглянуто практику регулювання ринків теплопостачання в країнах з розвиненою ринковою економікою, і можливості застосування їх досвіду в Україні. Визначено роль держави, як найважливішого регулятора, який здійснює контроль за ринком теплопостачання, і є влавником стратегічно важливих підприємств сектора. Ключові слова: централізоване теплопостачання, природна монополія, автономне опалення, конкуренція, приватний капітал, державне регулювання.Проанализировано состояние ситем теплоснабжения Донбасса, выявлено снижение производства и отпуска тепловой энергии, что вызвано появлением конкурента — автономного отопления. Обоснованы причины протеворечивости законодательства регулирующего деятельность в сфере коммунального теплоснабжения — естественной монополии, в результате чего нарушены конституционные, гражданские, потребительские права людей. Рассмотрена практика регулирования рынков теплоснабжения в странах с развитой рыночной экономикой, и возможности применения их опыта в Украине. Определена роль государства, как важнейшего регулятора, осуществляющего контроль за рынком теплоснабжения, и собственика стратегически важных предприятий сектора. Ключевые слова: централизованное теплоснабжение, естественная монополия, автономное отопление, конкуренция, частный капитал, государственное регулирование.The state of Donbass Heating System Works, showed a reduction in production and supply of heat energy that is caused by the emergence of competitors — independent heating. Substantiated reasons imperfect legislation governing activities in the field of district heating — natural monopoly, resulting in a violation of the constitutional, civil, consumer rights of people. The practical management of district heating markets in countries with developed market economies, and the possibility of applying their experience in Ukraine. Defined the place of government as an important regulator, controlling the heating market, and the owners of strategically important enterprises in the sector. Key words: district heating, natural monopoly, independent heating, competition, private capital, government regulation
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