440 research outputs found
Propagation of Light in the Field of Stationary and Radiative Gravitational Multipoles
Extremely high precision of near-future radio/optical interferometric
observatories like SKA, Gaia, SIM and the unparalleled sensitivity of LIGO/LISA
gravitational-wave detectors demands more deep theoretical treatment of
relativistic effects in the propagation of electromagnetic signals through
variable gravitational fields of the solar system, oscillating and precessing
neutron stars, coalescing binary systems, exploding supernova, and colliding
galaxies. Especially important for future gravitational-wave observatories is
the problem of propagation of light rays in the field of multipolar
gravitational waves emitted by a localized source of gravitational radiation.
Present paper suggests physically-adequate and consistent mathematical solution
of this problem in the first post-Minkowskian approximation of General
Relativity which accounts for all time-dependent multipole moments of an
isolated astronomical system.Comment: 36 pages, no figure
Fractal Scales in a Schwarzschild Atmosphere
Recently, Glass and Krisch have extended the Vaidya radiating metric to
include both a radiation fluid and a string fluid [1999 Class. Quantum Grav.
vol 16, 1175]. Mass diffusion in the extended Schwarzschild atmosphere was
studied. The continuous solutions of classical diffusive transport are believed
to describe the envelope of underlying fractal behavior. In this work we
examine the classical picture at scales on which fractal behavior might be
evident.Comment: to appear in Class. Quantum Gra
Spherically Symmetric and Rotating Wormholes Produced by Lightlike Branes
Lightlike p-branes (LL-branes) with dynamical (variable) tension allow simple
and elegant Polyakov-type and dual to it Nambu-Goto-like world-volume action
formulations. Here we first briefly describe the dynamics of LL-branes as test
objects in various physically interesting gravitational backgrounds of black
hole type, including rotating ones. Next we show that LL-branes are the
appropriate gravitational sources that provide proper matter energy momentum
tensors in the Einstein equations of motion needed to generate traversable
wormhole solutions, in particular, self-consistent cylindrical rotating
wormholes, with the LL-branes occupying their throats. Here a major role is
being played by the dynamical LL-brane tension which turns out to be negative
but may be of arbitrary small magnitude. As a particular solution we obtain
traversable wormhole with Schwarzschild geometry generated by a LL-brane
positioned at the wormhole throat, which represents the correct consistent
realization of the original Einstein-Rosen "bridge" manifold.Comment: 27 pages; important clarifications regarding the meaning of the
original Einstein-Rosen "bridge" construction; an important addition to the
Appendix; acknowledgments adde
Physics of the interior of a black hole with an exotic scalar matter
We use a numerical code to consider the nonlinear processes arising when a
Reissner-Nordstrom black hole is irradiated by an exotic scalar field (modelled
as a free massless scalar field with an opposite sign for its energy-momentum
tensor). These processes are quite different from the processes arising in the
case of the same black hole being irradiated by a pulse of a normal scalar
field. In our case, we did not observe the creation of a spacelike strong
singularity in the T-region of the space-time. We investigate the antifocusing
effects in the gravity field of the exotic scalar field with the negative
energy density and the evolution of the mass function. We demonstrate the
process of vanishing of the black hole when it is irradiated by a strong pulse
of an exotic scalar field.Comment: 16 pages, 16 figures. Text has been rewritten and restructured,
Penrose diagrams have been added, appendix with convergence tests has been
added. Co-author has been added. Conclusions are unchange
Recommended from our members
Statistical Properties and Predictability of Extreme Epileptic Events
The use of extreme events theory for the analysis of spontaneous epileptic brain activity is a relevant multidisciplinary problem. It allows deeper understanding of pathological brain functioning and unraveling mechanisms underlying the epileptic seizure emergence along with its predictability. The latter is a desired goal in epileptology which might open the way for new therapies to control and prevent epileptic attacks. With this goal in mind, we applied the extreme event theory for studying statistical properties of electroencephalographic (EEG) recordings of WAG/Rij rats with genetic predisposition to absence epilepsy. Our approach allowed us to reveal extreme events inherent in this pathological spiking activity, highly pronounced in a particular frequency range. The return interval analysis showed that the epileptic seizures exhibit a highly-structural behavior during the active phase of the spiking activity. Obtained results evidenced a possibility for early (up to 7 s) prediction of epileptic seizures based on consideration of EEG statistical properties
Towards a Stringy Resolution of the Cosmological Singularity
We study cosmological solutions to the low-energy effective action of
heterotic string theory including possible leading order corrections
and a potential for the dilaton. We consider the possibility that including
such stringy corrections can resolve the initial cosmological singularity.
Since the exact form of these corrections is not known the higher-derivative
terms are constructed so that they vanish when the metric is de Sitter
spacetime. The constructed terms are compatible with known restrictions from
scattering amplitude and string worldsheet beta-function calculations. Analytic
and numerical techniques are used to construct a singularity-free cosmological
solution. At late times and low-curvatures the metric is asymptotically
Minkowski and the dilaton is frozen. In the high-curvature regime the universe
enters a de Sitter phase.Comment: 6 pages, 2 Figures; minor revisions; references added; REVTeX 4;
version to appear in Phys. Rev.
Stationary Configurations Imply Shift Symmetry: No Bondi Accretion for Quintessence / k-Essence
In this paper we show that, for general scalar fields, stationary
configurations are possible for shift symmetric theories only. This symmetry
with respect to constant translations in field space should either be manifest
in the original field variables or reveal itself after an appropriate field
redefinition. In particular this result implies that neither k-Essence nor
Quintessence can have exact steady state / Bondi accretion onto Black Holes. We
also discuss the role of field redefinitions in k-Essence theories. Here we
study the transformation properties of observables and other variables in
k-Essence and emphasize which of them are covariant under field redefinitions.
Finally we find that stationary field configurations are necessarily linear in
Killing time, provided that shift symmetry is realized in terms of these field
variables.Comment: 8 page
Magnetic Dirac semimetal state of (Mn,Ge)BiTe
For quantum electronics, the possibility to finely tune the properties of
magnetic topological insulators (TIs) is a key issue. We studied solid
solutions between two isostructural Z TIs, magnetic MnBiTe and
nonmagnetic GeBiTe, with Z invariants of 1;000 and 1;001,
respectively. For high-quality, large mixed crystals of
GeMnBiTe, we observed linear x-dependent magnetic
properties, composition-independent pairwise exchange interactions along with
an easy magnetization axis. The bulk band gap gradually decreases to zero for
from 0 to 0.4, before reopening for , evidencing topological phase
transitions (TPTs) between topologically nontrivial phases and the semimetal
state. The TPTs are driven purely by the variation of orbital contributions. By
tracing the x-dependent contribution to the states near the fundamental
gap, the effective spin-orbit coupling variation is extracted. As varies,
the maximum of this contribution switches from the valence to the conduction
band, thereby driving two TPTs. The gapless state observed at closely
resembles a Dirac semimetal above the Neel temperature and shows a magnetic gap
below, which is clearly visible in raw photoemission data. The observed
behavior of the GeMnBiTe system thereby demonstrates an
ability to precisely control topological and magnetic properties of TIs
Relic gravitational waves from light primordial black holes
The energy density of relic gravitational waves (GWs) emitted by primordial
black holes (PBHs) is calculated. We estimate the intensity of GWs produced at
quantum and classical scattering of PBHs, the classical graviton emission from
the PBH binaries in the early Universe, and the graviton emission due to PBH
evaporation. If nonrelativistic PBHs dominated the cosmological energy density
prior to their evaporation, the probability of formation of dense clusters of
PBHs and their binaries in such clusters would be significant and the energy
density of the generated gravitational waves in the present day universe could
exceed that produced by other known mechanisms. The intensity of these
gravitational waves would be maximal in the GHz frequency band of the spectrum
or higher and makes their observation very difficult by present detectors but
also gives a rather good possibility to investigate it by present and future
high frequency gravitational waves electromagnetic detectors. However, the low
frequency part of the spectrum in the range Hz may be detectable
by the planned space interferometers DECIGO/BBO. For sufficiently long duration
of the PBH matter dominated stage the cosmological energy fraction of GWs from
inflation would be noticeably diluted.Comment: 32 pages, 4 figures; according to the referee comments some
inaccurate statements are corrected and high frequency detectors of
gravitational waves are briefly discusse
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