231 research outputs found
Galactic cold dark matter as a Bose-Einstein condensate of WISPs
We propose here the dark matter content of galaxies as a cold bosonic fluid
composed of Weakly Interacting Slim Particles (WISPs), represented by spin-0
axion-like particles and spin-1 hidden bosons, thermalized in the Bose-Einstein
condensation state and bounded by their self-gravitational potential. We
analyze two zero-momentum configurations: the polar phases in which spin
alignment of two neighbouring particles is anti-parallel and the ferromagnetic
phases in which every particle spin is aligned in the same direction. Using the
mean field approximation we derive the Gross-Pitaevskii equations for both
cases, and, supposing the dark matter to be a polytropic fluid, we describe the
particles density profile as Thomas-Fermi distributions characterized by the
halo radii and in terms of the scattering lengths and mass of each particle. By
comparing this model with data obtained from 42 spiral galaxies and 19 Low
Surface Brightness (LSB) galaxies, we constrain the dark matter particle mass
to the range and we find the lower bound for the
scattering length to be of the order .Comment: 13 pages; 6 figures; references added; v.3: typo corrected in the
abstract, published in JCA
Entropy-Area Relations in Field Theory
We consider the contribution to the entropy from fields in the background of
a curved time-independent metric. To account for the curvature of space, we
postulate a position-dependent UV cutoff. We argue that a UV cutoff on energy
naturally implies an IR cutoff on distance. With this procedure, we calculate
the scalar contribution in a background anti-de Sitter space, the exterior of a
black hole, and de Sitter space. In all cases, we find results that can be
simply interpreted in terms of local energy and proper volume, yielding insight
into the apparent reduced dimensionality of systems with gravity.Comment: 20 pages, 1 figur
Supersymmetric new brane-world
The quantum-induced dilatonic brane world (New Brane World) is created by
brane CFT quantum effects (giving effective brane tension) in accordance with
AdS/CFT set-up which also defines surface term. Considering the bosonic sector
of 5d gauged supergravity with single scalar and taking the boundary action as
predicted by supersymmetry, the possibility to supersymmetrize dilatonic New
Brane World is discussed. It is demonstrated that for a number of
superpotentials the flat SUSY dilatonic brane-world (with dynamically induced
brane dilaton) or quantum-induced de Sitter dilatonic brane-world (not Anti-de
Sitter one) where SUSY is broken by the quantum effects occurs. The analysis of
graviton perturbations indicates that gravity is localized on such branes.Comment: LaTeX 16 pages, misprints are correcte
Are braneworlds born isotropic?
It has recently been suggested that an isotropic singularity may be a generic
feature of brane cosmologies, even in the inhomogeneous case. Using the
covariant and gauge-invariant approach we present a detailed analysis of linear
perturbations of the isotropic model which is a past attractor in
the phase space of homogeneous Bianchi models on the brane. We find that for
matter with an equation of state parameter , the dimensionless
variables representing generic anisotropic and inhomogeneous perturbations
decay as , showing that the model is asymptotically stable
in the past. We conclude that brane universes are born with isotropy naturally
built-in, contrary to standard cosmology. The observed large-scale homogeneity
and isotropy of the universe can therefore be explained as a consequence of the
initial conditions if the brane-world paradigm represents a description of the
very early universe.Comment: Changed to match published versio
Strong Interactions and Stability in the DGP Model
The model of Dvali, Gabadadze, and Porrati (DGP) gives a simple geometrical
setup in which gravity becomes 5-dimensional at distances larger than a length
scale \lambda_{DGP}. We show that this theory has strong interactions at a
length scale \lambda_3 ~ (\lambda_{DGP}^2 / M_P)^{1/3}. If \lambda_{DGP} is of
order the Hubble length, then the theory loses predictivity at distances
shorter than \lambda_3 ~ 1000 km. The strong interaction can be viewed as
arising from a longitudinal `eaten Goldstone' mode that gets a small kinetic
term only from mixing with transverse graviton polarizations, analogous to the
case of massive gravity. We also present a negative-energy classical solution,
which can be avoided by cutting off the theory at the same scale scale
\lambda_3. Finally, we examine the dynamics of the longitudinal Goldstone mode
when the background geometry is curved.Comment: 24 pages, LaTeX2e, no figure
Brane-world creation and black holes
An inflating brane-world can be created from ``nothing'' together with its
Anti-de Sitter (AdS) bulk. The resulting space-time has compact spatial
sections bounded by the brane. During inflation, the continuum of KK modes is
separated from the massless zero mode by the gap , where is the
Hubble rate. We consider the analog of the Nariai solution and argue that it
describes pair production of ``Black cigars'' attached to the inflating brane.
In the case when the size of the instantons is much larger than the AdS radius,
the 5-dimensional action agrees with the 4-dimensional one. Hence, the 5D and
4D gravitational entropies are the same in this limit. We also consider thermal
instantons with an AdS black hole in the bulk. These may be interpreted as
describing the creation of a hot universe from nothing, or the production of
AdS black holes in the vicinity of a pre-existing inflating brane-world. The
Lorentzian evolution of the brane-world after creation is briefly discussed. An
additional "integration constant" in the Friedmann equation -accompanying a
term which dilutes like radiation- describes the tidal force in the fifth
direction and arises from the mass of a spherical object inside the bulk. This
could be a 5-dimensional black hole or a "parallel" brane-world of negative
tension concentrical with our brane-world. In the case of thermal solutions,
and in the spirit of the correspondence, one may attribute the
additional term to thermal radiation in the boundary theory. Then, for
temperatures well below the AdS scale, the entropy of this radiation agrees
with the entropy of the black hole in the AdS bulk.Comment: 15 pages, 2 figures, LaTeX. References added, typos corrected, added
Comment on AdS/CFT correspondenc
Five Dimensional Rotating Black Hole in a Uniform Magnetic Field. The Gyromagnetic Ratio
In four dimensional general relativity, the fact that a Killing vector in a
vacuum spacetime serves as a vector potential for a test Maxwell field provides
one with an elegant way of describing the behaviour of electromagnetic fields
near a rotating Kerr black hole immersed in a uniform magnetic field. We use a
similar approach to examine the case of a five dimensional rotating black hole
placed in a uniform magnetic field of configuration with bi-azimuthal symmetry,
that is aligned with the angular momenta of the Myers-Perry spacetime. Assuming
that the black hole may also possess a small electric charge we construct the
5-vector potential of the electromagnetic field in the Myers-Perry metric using
its three commuting Killing vector fields. We show that, like its four
dimensional counterparts, the five dimensional Myers-Perry black hole rotating
in a uniform magnetic field produces an inductive potential difference between
the event horizon and an infinitely distant surface. This potential difference
is determined by a superposition of two independent Coulomb fields consistent
with the two angular momenta of the black hole and two nonvanishing components
of the magnetic field. We also show that a weakly charged rotating black hole
in five dimensions possesses two independent magnetic dipole moments specified
in terms of its electric charge, mass, and angular momentum parameters. We
prove that a five dimensional weakly charged Myers-Perry black hole must have
the value of the gyromagnetic ratio g=3.Comment: 23 pages, REVTEX, v2: Minor changes, v3: Minor change
Hawking Radiation from AdS Black Holes
We investigate Hawking radiation from black holes in (d+1)-dimensional
anti-de Sitter space. We focus on s-waves, make use of the geometrical optics
approximation, and follow three approaches to analyze the radiation. First, we
compute a Bogoliubov transformation between Kruskal and asymptotic coordinates
and compare the different vacua. Second, following a method due to Kraus,
Parikh, and Wilczek, we view Hawking radiation as a tunneling process across
the horizon and compute the tunneling probablility. This approach uses an
anti-de Sitter version of a metric originally introduced by Painleve for
Schwarzschild black holes. From the tunneling probability one also finds a
leading correction to the semi-classical emission rate arising from the
backreaction to the background geometry. Finally, we consider a spherically
symmetric collapse geometry and the Bogoliubov transformation between the
initial vacuum state and the vacuum of an asymptotic observer.Comment: 13 pages, latex2e, v2: some clarifications and references adde
Casimir Effect, Achucarro-Ortiz Black Hole and the Cosmological Constant
We treat the two-dimensional Achucarro-Ortiz black hole (also known as (1+1)
dilatonic black hole) as a Casimir-type system. The stress tensor of a massless
scalar field satisfying Dirichlet boundary conditions on two one-dimensional
"walls" ("Dirichlet walls") is explicitly calculated in three different vacua.
Without employing known regularization techniques, the expression in each
vacuum for the stress tensor is reached by using the Wald's axioms. Finally,
within this asymptotically non-flat gravitational background, it is shown that
the equilibrium of the configurations, obtained by setting Casimir force to
zero, is controlled by the cosmological constant.Comment: 20 pages, LaTeX, minor corrections, comments and clarifications
added, version to appear in Phys. Rev.
False vacuum decay in a brane world cosmological model
The false vacuum decay in a brane world model is studied in this work. We
investigate the vacuum decay via the Coleman-de Luccia instanton, derive
explicit approximative expressions for the Coleman-de Luccia instanton which is
close to a Hawking-Moss instanton and compare the results with those already
obtained within Einstein's theory of relativity.Comment: minor changes done, references added, version to appear in GR
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