71 research outputs found
The Embedding of Schwarzschild in Braneworld
The braneworlds models were inspired partly by Kaluza-Klein's theory, where
both the gravitational and the gauge fields are obtained from the geometry of a
higher dimensional space. The positive aspects of these models consist in
perspectives of modifications it could bring in to particle physics, such as:
unification in a TeV scale, quantum gravity in this scale and deviation of
Newton's law for small distances. One of the principles of these models is to
suppose that all space-times can be embedded in a bulk of higher dimension. The
main result in these notes is a theorem showing a mathematical inconsistency of
the Randall-Sundrum braneworld model, namely that the Schwarzschild space-time
cannot be embedded locally and isometrically in a five dimensional bulk with
constant curvature,(for example AdS-5). From the point of view of
semi-Riemannian geometry this last result represents a serious restriction to
the Randall-Sundrum's braneworld model.Comment: Published in the Int. J. Theor. Phys, 200
Casimir Effect in Spacetime with Extra Dimensions -- From Kaluza-Klein to Randall-Sundrum Models
In this article, we derive the finite temperature Casimir force acting on a
pair of parallel plates due to a massless scalar field propagating in the bulk
of a higher dimensional brane model. In contrast to previous works which used
approximations for the effective masses in deriving the Casimir force, the
formulas of the Casimir force we derive are exact formulas. Our results
disprove the speculations that existence of the warped extra dimension can
change the sign of the Casimir force, be it at zero or any finite temperature.Comment: 9 pages, 3 figure. Final version accepted by Phys. Lett.
Electron correlation resonances in the transport through a single quantum level
Correlation effects in the transport properties of a single quantum level
coupled to electron reservoirs are discussed theoretically using a
non-equilibrium Green functions approach. Our method is based on the
introduction of a second-order self-energy associated with the Coulomb
interaction that consistently eliminates the pathologies found in previous
perturbative calculations. We present results for the current-voltage
characteristic illustrating the different correlation effects that may be found
in this system, including the Kondo anomaly and Coulomb blockade. We finally
discuss the experimental conditions for the simultaneous observation of these
effects in an ultrasmall quantum dot.Comment: 4 pages (two columns), 3 figures under reques
Noninteracting dark matter
Since an acceptable dark matter candidate may interact only weakly with
ordinary matter and radiation, it is of interest to consider the limiting case
where the dark matter interacts only with gravity and itself, the matter
originating by the gravitational particle production at the end of inflation.
We use the bounds on the present dark mass density and the measured large-scale
fluctuations in the thermal cosmic background radiation to constrain the two
parameters in a self-interaction potential that is a sum of quadratic and
quartic terms in a single scalar dark matter field that is minimally coupled to
gravity. In quintessential inflation, where the temperature at the end of
inflation is relatively low, the field starts acting like cold dark matter
relatively late, shortly before the epoch of equal mass densities in matter and
radiation. This could have observable consequences for galaxy formation. We
respond to recent criticisms of the quintessential inflation scenario, since
these issues also apply to elements of the noninteracting dark matter picture.Comment: 37 pages, 3 figure
Bridging geometries and potentials in DBI cosmologies
We investigate the link between the warp function and the potential in DBI
cosmologies in connection with the possibility they represent power-law
solutions. A prescription is given to take advantage of the known result that
given a warp factor there is always a choice of potential resulting in a
constant ratio between pressure and energy density. The method is illustrated
with examples with interesting models for either the warp factor or the
potential. We complete this investigation by giving a recipe to exploit
symmetries in order to generate new solutions from existing ones; this method
can be applied, for instance, to the power-law cosmologies obtained using our
prescription.Comment: 7 pages, 3 figures, revte
Brane World Cosmology with Gauss-Bonnet Interaction
We study a Randall-Sundrum model modified by a Gauss-Bonnet interaction term.
We consider, in particular, a Friedmann-Robertson-Walker metric on the brane
and analyse the resulting cosmological scenario. It is shown that the usual
Friedmann equations are recovered on the brane. The equation of state relating
the enery density and the pressure is uniquely determined by the matching
conditions. A cosmological solution with negative pressure is found.Comment: 9 pages, revtex styl
Inflation and late time acceleration in braneworld cosmological models with varying brane tension
Braneworld models with variable brane tension introduce a new
degree of freedom that allows for evolving gravitational and cosmological
constants, the latter being a natural candidate for dark energy. We consider a
thermodynamic interpretation of the varying brane tension models, by showing
that the field equations with variable can be interpreted as
describing matter creation in a cosmological framework. The particle creation
rate is determined by the variation rate of the brane tension, as well as by
the brane-bulk energy-matter transfer rate. We investigate the effect of a
variable brane tension on the cosmological evolution of the Universe, in the
framework of a particular model in which the brane tension is an exponentially
dependent function of the scale factor. The resulting cosmology shows the
presence of an initial inflationary expansion, followed by a decelerating
phase, and by a smooth transition towards a late accelerated de Sitter type
expansion. The varying brane tension is also responsible for the generation of
the matter in the Universe (reheating period). The physical constraints on the
model parameters, resulted from the observational cosmological data, are also
investigated.Comment: 25 pages, 8 figures, accepted for publication in European Physical
Journal
A Galaxy-scale Fountain of Cold Molecular Gas Pumped by a Black Hole
We present Atacama Large Millimeter/submillimeter Array and Multi-Unit Spectroscopic Explorer observations of the brightest cluster galaxy in Abell 2597, a nearby (z = 0.0821) cool core cluster of galaxies. The data map the kinematics of a three billion solar mass filamentary nebula that spans the innermost 30 kpc of the galaxy's core. Its warm ionized and cold molecular components are both cospatial and comoving, consistent with the hypothesis that the optical nebula traces the warm envelopes of many cold molecular clouds that drift in the velocity field of the hot X-ray atmosphere. The clouds are not in dynamical equilibrium, and instead show evidence for inflow toward the central supermassive black hole, outflow along the jets it launches, and uplift by the buoyant hot bubbles those jets inflate. The entire scenario is therefore consistent with a galaxy-spanning "fountain," wherein cold gas clouds drain into the black hole accretion reservoir, powering jets and bubbles that uplift a cooling plume of low-entropy multiphase gas, which may stimulate additional cooling and accretion as part of a self-regulating feedback loop. All velocities are below the escape speed from the galaxy, and so these clouds should rain back toward the galaxy center from which they came, keeping the fountain long lived. The data are consistent with major predictions of chaotic cold accretion, precipitation, and stimulated feedback models, and may trace processes fundamental to galaxy evolution at effectively all mass scales
Dynamics of Modified Chaplygin Gas in Brane World Scenario: Phase Plane Analysis
In this work we investigate the background dynamics when dark energy is
coupled to dark matter with a suitable interaction in the universe described by
brane cosmology. Here DGP and the RSII brane models have been considered
separately. Dark energy in the form of modified Chaplygin gas is considered. A
suitable interaction between dark energy and dark matter is considered in order
to at least alleviate (if not solve) the cosmic coincidence problem. The
dynamical system of equations is solved numerically and a stable scaling
solution is obtained. A significant attempt towards the solution of the cosmic
coincidence problem is taken. The statefinder parameters are also calculated to
classify the dark energy models. Graphs and phase diagrams are drawn to study
the variations of these parameters. It is also seen that the background
dynamics of modified Chaplygin gas is completely consistent with the notion of
an accelerated expansion in the late universe. Finally, it has been shown that
the universe in both the models follows the power law form of expansion around
the critical point, which is consistent with the known results.Comment: 14 pages, 14 figure
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