170 research outputs found
Numerical Solutions of Inflating Higher Dimensional Global Defects
We find numerical solutions of Einstein equations and scalar field equation
for a global defect in higher dimensional spacetimes (). We examine in
detail the relation among the expansion rate and the symmetry-breaking
scale and the number of extra dimensions for these solutions. We
find that even if the extra dimensions do not have a cigar geometry, the
expansion rate grows as increases, which is opposite to what is
needed for the recently proposed mechanism for solving the cosmological
constant problem. We also find that the expansion rate decreases as
increases.Comment: 6 pages, 7 figures, ReVTeX4, Accepted for publication in PR
Axially Symmetric Cosmological Mesonic Stiff Fluid Models in Lyra's Geometry
In this paper, we obtained a new class of axially symmetric cosmological
mesonic stiff fluid models in the context of Lyra's geometry. Expressions for
the energy, pressure and the massless scalar field are derived by considering
the time dependent displacement field. We found that the mesonic scalar field
depends on only coordinate. Some physical properties of the obtained models
are discussed.Comment: 13 pages, no figures, typos correcte
Scaling Law for the Cosmological Constant from Quantum Cosmology with Seven Extra Dimensions
According to a model of quantum cosmology the maximum number of degrees of
freedom allowed in our three dimensions was determined by the size of seven
extra dimensions in an initial excited state before inflation. The size of the
extra dimensions can be inferred from a simple scheme for unifying the strong
force and gravity. Coupled with the Bekenstein-Hawking entropy bound, these
considerations lead to a scaling law for the cosmological constant that has
been proposed independently by several authors.Comment: matches published version in IJT
Scattering of scalar particles by a black hole
The absorption cross section for scalar particle impact on a Schwarzschild
black hole is found. The process is dominated by two physical phenomena. One of
them is the well-known greybody factor that arises from the energy-dependent
potential barrier outside the horizon that filters the incoming and outgoing
waves. The other is related to the reflection of particles on the horizon
(Kuchiev 2003). This latter effect strongly diminishes the cross section for
low energies, forcing it to vanish in the infrared limit. It is argued that
this is a general property, the absorption cross section vanishes in the
infrared limit for scattering of particles of arbitrary spin.Comment: 7 pages, revtex, 1 figur
Reflection, radiation and interference for black holes
Black holes are capable of reflection: there is a finite probability for any
particle that approaches the event horizon to bounce back. The albedo of the
black hole depends on its temperature and the energy of the incoming particle.
The reflection shares its physical origins with the Hawking process of
radiation, both of them arise as consequences of the mixing of the incoming and
outgoing waves that takes place on the event horizon.Comment: 10 pages, 1 figure, Revte
Quantum radiation by electrons in lasers and the Unruh effect
In addition to the Larmor radiation known from classical electrodynamics,
electrons in a laser field may emit pairs of entangled photons -- which is a
pure quantum effect. We investigate this quantum effect and discuss why it is
suppressed in comparison with the classical Larmor radiation (which is just
Thomson backscattering of the laser photons). Further, we provide an intuitive
explanation of this process (in a simplified setting) in terms of the Unruh
effect.Comment: 4 pages, 3 figure
Some Bianchi Type III String Cosmological Models with Bulk Viscosity
We investigate the integrability of cosmic strings in Bianchi III space-time
in presence of a bulk viscous fluid by applying a new technique. The behaviour
of the model is reduced to the solution of a single second order nonlinear
differential equation. We show that this equation admits an infinite family of
solutions. Some physical consequences from these results are also discussed.Comment: 12 pages, no figure. To appear in Int. J. Theor. Phy
Evolution of a Primordial Black Hole Population
We reconsider in this work the effects of an energy absorption term in the
evolution of primordial black holes (hereafter PBHs) in the several epochs of
the Universe. A critical mass is introduced as a boundary between the accreting
and evaporating regimes of the PBHs. We show that the growth of PBHs is
negligible in the Radiation-dominated Era due to scarcity of energy density
supply from the expanding background, in agreement with a previous analysis by
Carr and Hawking, but that nevertheless the absorption term is large enough for
black holes above the critical mass to preclude their evaporation until the
universe has cooled sufficiently. The effects of PBH motion are also discussed:
the Doppler effect may give rise to energy accretion in black-holes with large
peculiar motions relative to background. We discuss how cosmological
constraints are modified by the introduction of the critical mass since that
PBHs above it do not disturb the CMBR. We show that there is a large range of
admissible masses for PBHs above the critical mass but well below the
cosmological horizon. Finally we outline a minimal kinetic formalism, solved in
some limiting cases, to deal with more complicated cases of PBH populationsComment: RevTex file, 8 pp., 3 .ps figures available upon request from
[email protected]
Completeness of the Coulomb scattering wave functions
Completeness of the eigenfunctions of a self-adjoint Hamiltonian, which is
the basic ingredient of quantum mechanics, plays an important role in nuclear
reaction and nuclear structure theory. However, until now, there was no a
formal proof of the completeness of the eigenfunctions of the two-body
Hamiltonian with the Coulomb interaction. Here we present the first formal
proof of the completeness of the two-body Coulomb scattering wave functions for
repulsive unscreened Coulomb potential. To prove the completeness we use the
Newton's method [R. Newton, J. Math Phys., 1, 319 (1960)]. The proof allows us
to claim that the eigenfunctions of the two-body Hamiltonian with the potential
given by the sum of the repulsive Coulomb plus short-range (nuclear) potentials
also form a complete set. It also allows one to extend the Berggren's approach
of modification of the complete set of the eigenfunctions by including the
resonances for charged particles. We also demonstrate that the resonant Gamow
functions with the Coulomb tail can be regularized using Zel'dovich's
regularization method.Comment: 12 pages and 1 figur
Universality in the distribution of caustics in the expanding Universe
We numerically investigate the long--time evolution of density perturbations
after the first appearance of caustics in an expanding cosmological model with
one--dimensional `single--wave' initial conditions. Focussing on the
time--intervals of caustic appearances and the spatial distribution of caustics
at subsequent times, we find that the time--intervals of caustic appearances
approach a constant, i.e., their time--subsequent ratio converges to 1; it is
also found that the spatial distribution of caustics at a given time features
some universality rules, e.g., the ratio between the position of the nearest
caustic from the center and that of the second nearest caustic from the center
approaches a constant. Furthermore we find some rules for the mass distribution
for each caustic. Using these universality constants we are in the position to
predict the spatial distribution of caustics at an arbitrary time in order to
give an estimate for the power spectral index in the fully--developed
non--dissipative turbulent (`virialized') regime.Comment: 23 pages, 19 figure
- âŠ