8,000 research outputs found
Galaxy phase-space density data exclude Bose-Einstein condensate Axion Dark Matter
Light scalars (as the axion) with mass m ~ 10^{-22} eV forming a
Bose-Einstein condensate (BEC) exhibit a Jeans length in the kpc scale and were
therefore proposed as dark matter (DM) candidates. Our treatment here is
generic, independent of the particle physics model and applies to all DM BEC,
in or out of equilibrium. Two observed quantities crucially constrain DM in an
inescapable way: the average DM density rho_{DM} and the phase-space density Q.
The observed values of rho_{DM} and Q in galaxies today constrain both the
possibility to form a BEC and the DM mass m. These two constraints robustly
exclude axion DM that decouples just after the QCD phase transition. Moreover,
the value m ~ 10^{-22} eV can only be obtained with a number of
ultrarelativistic degrees of freedom at decoupling in the trillions which is
impossible for decoupling in the radiation dominated era. In addition, we find
for the axion vacuum misalignment scenario that axions are produced strongly
out of thermal equilibrium and that the axion mass in such scenario turns to be
17 orders of magnitude too large to reproduce the observed galactic structures.
Moreover, we also consider inhomogenous gravitationally bounded BEC's supported
by the bosonic quantum pressure independently of any particular particle
physics scenario. For a typical size R ~ kpc and compact object masses M ~ 10^7
Msun they remarkably lead to the same particle mass m ~ 10^{-22} eV as the BEC
free-streaming length. However, the phase-space density for the gravitationally
bounded BEC's turns to be more than sixty orders of magnitude smaller than the
galaxy observed values. We conclude that the BEC's and the axion cannot be the
DM particle. However, an axion in the mili-eV scale may be a relevant source of
dark energy through the zero point cosmological quantum fluctuations.Comment: 8 pages, no figures. Expanded versio
Strings in Cosmological and Black Hole Backgrounds: Ring Solutions
The string equations of motion and constraints are solved for a ring shaped
Ansatz in cosmological and black hole spacetimes. In FRW universes with
arbitrary power behavior [R(X^0) = a\;|X^0|^{\a}\, ], the asymptotic form of
the solution is found for both and and we plot the
numerical solution for all times. Right after the big bang (), the
string energy decreasess as and the string size grows as for . Very
soon [ ] , the ring reaches its oscillatory regime with frequency
equal to the winding and constant size and energy. This picture holds for all
values of \a including string vacua (for which, asymptotically, \a = 1).
In addition, an exact non-oscillatory ring solution is found. For black hole
spacetimes (Schwarzschild, Reissner-Nordstr\oo m and stringy), we solve for
ring strings moving towards the center. Depending on their initial conditions
(essentially the oscillation phase), they are are absorbed or not by
Schwarzschild black holes. The phenomenon of particle transmutation is
explicitly observed (for rings not swallowed by the hole). An effective horizon
is noticed for the rings. Exact and explicit ring solutions inside the
horizon(s) are found. They may be interpreted as strings propagating between
the different universes described by the full black hole manifold.Comment: Paris preprint PAR-LPTHE-93/43. Uses phyzzx. Includes figures. Text
and figures compressed using uufile
Equation of state, universal profiles, scaling and macroscopic quantum effects in Warm Dark Matter galaxies
The Thomas-Fermi approach to galaxy structure determines selfconsistently and
nonlinearly the gravitational potential of the fermionic WDM particles given
their quantum distribution function f(E). Galaxy magnitudes as the halo radius
r_h, mass M_h, velocity dispersion and phase space density are obtained. We
derive the general equation of state for galaxies (relation between the
pressure and the density), and provide an analytic expression. This clearly
exhibits two regimes: (i) Large diluted galaxies for M_h > 2.3 10^6 Msun
corresponding to temperatures T_0 > 0.017 K, described by the classical self
gravitating WDM Boltzman regime and (ii) Compact dwarf galaxies for 1.6 10^6
Msun > M_h>M_{h,min}=30000 (2keV/m)^{16/5} Msun, T_0<0.011 K described by the
quantum fermionic WDM regime. The T_0=0 degenerate quantum limit predicts the
most compact and smallest galaxy (minimal radius and mass M_{h,min}). All
magnitudes in the diluted regime exhibit square root of M_h scaling laws and
are universal functions of r/r_h when normalized to their values at the origin
or at r_h. We find that universality in galaxies (for M_h > 10^6 Msun) reflects
the WDM perfect gas behaviour. These theoretical results contrasted to robust
and independent sets of galaxy data remarkably reproduce the observations. For
the small galaxies, 10^6>M_h>M_{h,min} corresponding to effective temperatures
T_0 < 0.017 K, the equation of state is galaxy dependent and the profiles are
no more universal. These non-universal properties in small galaxies account to
the quantum physics of the WDM fermions in the compact regime. Our results are
independent of any WDM particle physics model, they only follow from the
gravitational interaction of the WDM particles and their fermionic quantum
nature.Comment: 21 pages, 9 figures. arXiv admin note: substantial text overlap with
arXiv:1309.229
Statistical Mechanics of the Self-Gravitating Gas: Thermodynamic Limit, Unstabilities and Phase Diagrams
We show that the self-gravitating gas at thermal equilibrium has an infinite
volume limit in the three ensembles (GCE, CE, MCE) when (N, V) -> infty,
keeping N/V^{1/3} fixed, that is, with eta = G m^2 N/[ V^{1/3} T] fixed. We
develop MonteCarlo simulations, analytic mean field methods (MF) and low
density expansions. We compute the equation of state and find it to be locally
p(r) = T rho_V(r), that is a local ideal gas equation of state. The system is
in a gaseous phase for eta < eta_T = 1.51024...and collapses into a very dense
object for eta > eta_T in the CE with the pressure becoming large and negative.
The isothermal compressibility diverges at eta = eta_T. We compute the
fluctuations around mean field for the three ensembles. We show that the
particle distribution can be described by a Haussdorf dimension 1 < D < 3.Comment: 12 pages, Invited lecture at `Statistical Mechanics of Non-Extensive
Systems', Observatoire de Paris, October 2005, to be published in a Special
issue of `Les Comptes rendus de l'Acade'mie des sciences', Elsevie
Planetoid String Solutions in 3 + 1 Axisymmetric Spacetimes
The string propagation equations in axisymmetric spacetimes are exactly
solved by quadratures for a planetoid Ansatz. This is a straight
non-oscillating string, radially disposed, which rotates uniformly around the
symmetry axis of the spacetime. In Schwarzschild black holes, the string stays
outside the horizon pointing towards the origin. In de Sitter spacetime the
planetoid rotates around its center. We quantize semiclassically these
solutions and analyze the spin/(mass) (Regge) relation for the planetoids,
which turns out to be non-linear.Comment: Latex file, 14 pages, two figures in .ps files available from the
author
Strings Next To and Inside Black Holes
The string equations of motion and constraints are solved near the horizon
and near the singularity of a Schwarzschild black hole. In a conformal gauge
such that ( = worldsheet time coordinate) corresponds to the
horizon () or to the black hole singularity (), the string
coordinates express in power series in near the horizon and in power
series in around . We compute the string invariant size and
the string energy-momentum tensor. Near the horizon both are finite and
analytic. Near the black hole singularity, the string size, the string energy
and the transverse pressures (in the angular directions) tend to infinity as
. To leading order near , the string behaves as two dimensional
radiation. This two spatial dimensions are describing the sphere in the
Schwarzschild manifold.Comment: RevTex, 19 pages without figure
Multi-String Solutions by Soliton Methods in De Sitter Spacetime
{\bf Exact} solutions of the string equations of motion and constraints are
{\bf systematically} constructed in de Sitter spacetime using the dressing
method of soliton theory. The string dynamics in de Sitter spacetime is
integrable due to the associated linear system. We start from an exact string
solution and the associated solution of the linear system , and we construct a new solution differing from
by a rational matrix in with at least four
poles . The periodi-
city condition for closed strings restrict to discrete values
expressed in terms of Pythagorean numbers. Here we explicitly construct solu-
tions depending on -spacetime coordinates, two arbitrary complex numbers
(the 'polarization vector') and two integers which determine the string
windings in the space. The solutions are depicted in the hyperboloid coor-
dinates and in comoving coordinates with the cosmic time . Despite of
the fact that we have a single world sheet, our solutions describe {\bf multi-
ple}(here five) different and independent strings; the world sheet time
turns to be a multivalued function of .(This has no analogue in flat space-
time).One string is stable (its proper size tends to a constant for , and its comoving size contracts); the other strings are unstable (their
proper sizes blow up for , while their comoving sizes tend to cons-
tants). These solutions (even the stable strings) do not oscillate in time. The
interpretation of these solutions and their dynamics in terms of the sinh-
Gordon model is particularly enlighting.Comment: 25 pages, latex. LPTHE 93-44. Figures available from the auhors under
reques
Warm dark matter primordial spectra and the onset of structure formation at redshift z
Analytic formulas reproducing the warm dark matter (WDM) primordial spectra
are obtained for WDM particles decoupling in and out of thermal equilibrium
which provide the initial data for WDM non-linear structure formation. We
compute and analyze the corresponding WDM overdensities and compare them to the
CDM case. We consider the ratio of the WDM to CDM primordial spectrum and the
WDM to CDM overdensities: they turn to be self-similar functions of k/k_{1/2}
and R/R_{1/2} respectively, k_{1/2} and R_{1/2} being the wavenumber and length
where the WDM spectrum and overdensity are 1/2 of the respective CDM
magnitudes. Both k_{1/2} and R_{1/2} show scaling as powers of the WDM particle
mass m while the self-similar functions are independent of m. The WDM
primordial spectrum sharply decreases around k_{1/2} with respect to the CDM
spectrum, while the WDM overdensity slowly decreases around R_{1/2}. The
nonlinear regions where WDM structure formation takes place are shown and
compared to those in CDM: the WDM non-linear structures start to form later
than in CDM, and as a general trend, decreasing the DM particle mass delays the
onset of the non-linear regime. The non-linear regime starts earlier for
smaller objects than for larger ones; smaller objects can form earlier both in
WDM and CDM. We compute and analyze the differential mass function dN/dM for
WDM at redshift z in the Press-Schechter approach. The WDM suppression effect
of small scale structure increases with the redshift z. Our results for dN/dM
are useful to be contrasted with observations, in particular for 4 < z < 12. We
perfom all these studies for the most popular WDM particle physics models.
Contrasting them to observations should point out the precise value of the WDM
particle mass in the keV scale, and help to single out the best WDM particle
physics model (Abridged).Comment: 18 pages, 8 figures. To appear in Phys Rev
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