188 research outputs found
On Gravitational Waves in Spacetimes with a Nonvanishing Cosmological Constant
We study the effect of a cosmological constant on the propagation
and detection of gravitational waves. To this purpose we investigate the
linearised Einstein's equations with terms up to linear order in in a
de Sitter and an anti-de Sitter background spacetime. In this framework the
cosmological term does not induce changes in the polarization states of the
waves, whereas the amplitude gets modified with terms depending on .
Moreover, if a source emits a periodic waveform, its periodicity as measured by
a distant observer gets modified. These effects are, however, extremely tiny
and thus well below the detectability by some twenty orders of magnitude within
present gravitational wave detectors such as LIGO or future planned ones such
as LISA.Comment: 8 pages, 4 figures, accepted for publication in Physical Review
Numerical evidence for `multi-scalar stars'
We present a class of general relativistic soliton-like solutions composed of
multiple minimally coupled, massive, real scalar fields which interact only
through the gravitational field. We describe a two-parameter family of
solutions we call ``phase-shifted boson stars'' (parameterized by central
density rho_0 and phase delta), which are obtained by solving the ordinary
differential equations associated with boson stars and then altering the phase
between the real and imaginary parts of the field. These solutions are similar
to boson stars as well as the oscillating soliton stars found by Seidel and
Suen [E. Seidel and W.M. Suen, Phys. Rev. Lett. 66, 1659 (1991)]; in
particular, long-time numerical evolutions suggest that phase-shifted boson
stars are stable. Our results indicate that scalar soliton-like solutions are
perhaps more generic than has been previously thought.Comment: Revtex. 4 pages with 4 figures. Submitted to Phys. Rev.
Galactic Halos As Boson Stars
We investigate the boson star with the self-interacting scalar field as a
model of galactic halos. The model has slightly increasing rotation curves and
allows wider ranges of the mass() and coupling() of the halo dark
matter particle than the non-interacting model previously
suggested(ref.\cite{sin1}). Two quantities are related by
\lambda^{\frac{1}{2}} (m_p/m)^2\st{>}{\sim} 10^{50}.Comment: 15 pages. Standard Latex file with 2 tex figures. Revised version to
be published in Phy. Rev. D. (Stability arguments are added.
Spontaneous Scalarization and Boson Stars
We study spontaneous scalarization in Scalar-Tensor boson stars. We find that
scalarization does not occur in stars whose bosons have no self-interaction. We
introduce a quartic self-interaction term into the boson Lagrangian and show
that when this term is large, scalarization does occur. Strong self-interaction
leads to a large value of the compactness (or sensitivity) of the boson star, a
necessary condition for scalarization to occur, and we derive an analytical
expression for computing the sensitivity of a boson star in Brans-Dicke theory
from its mass and particle number. Next we comment on how one can use the
sensitivity of a star in any Scalar-Tensor theory to determine how its mass
changes when it undergoes gravitational evolution. Finally, in the Appendix, we
derive the most general form of the boson wavefunction that minimises the
energy of the star when the bosons carry a U(1) charge.Comment: 23 pages, 5 postscript figures. Typing errors corrected. Includes
some new text that relates the paper to several previous results. Accepted
for publication in PR
Boson Stars in General Scalar-Tensor Gravitation: Equilibrium Configurations
We study equilibrium configurations of boson stars in the framework of
general scalar-tensor theories of gravitation. We analyse several possible
couplings, with acceptable weak field limit and, when known, nucleosynthesis
bounds, in order to work in the cosmologically more realistic cases of this
kind of theories. We found that for general scalar-tensor gravitation, the
range of masses boson stars might have is comparable with the general
relativistic case. We also analyse the possible formation of boson stars along
different eras of cosmic evolution, allowing for the effective gravitational
constant far out form the star to deviate from its current value. In these
cases, we found that the boson stars masses are sensitive to this kind of
variations, within a typical few percent. We also study cases in which the
coupling is implicitly defined, through the dependence on the radial
coordinate, allowing it to have significant variations in the radius of the
structure.Comment: 19 pages in latex, 3 figures -postscript- may be sent via e-mail upon
reques
Charged Scalar-Tensor Boson Stars: Equilibrium, Stability and Evolution
We study charged boson stars in scalar-tensor (ST) gravitational theories. We
analyse the weak field limit of the solutions and analytically show that there
is a maximum charge to mass ratio for the bosons above which the weak field
solutions are not stable. This charge limit can be greater than the GR limit
for a wide class of ST theories. We numerically investigate strong field
solutions in both the Brans Dicke and power law ST theories. We find that the
charge limit decreases with increasing central boson density. We discuss the
gravitational evolution of charged and uncharged boson stars in a cosmological
setting and show how, at any point in its evolution, the physical properties of
the star may be calculated by a rescaling of a solution whose asymptotic value
of the scalar field is equal to its initial asymptotic value. We focus on
evolution in which the particle number of the star is conserved and we find
that the energy and central density of the star decreases as the cosmological
time increases. We also analyse the appearance of the scalarization phenomenon
recently discovered for neutron stars configurations and, finally, we give a
short discussion on how making the correct choice of mass influences the
argument over which conformal frame, the Einstein frame or the Jordan frame, is
physical.Comment: RevTeX, 27 pages, 9 postscript figures. Minor revisions and updated
references. Accepted for publication in Phys. Rev.
Brans-Dicke Boson Stars: Configurations and Stability through Cosmic History
We make a detailed study of boson star configurations in Jordan--Brans--Dicke
theory, studying both equilibrium properties and stability, and considering
boson stars existing at different cosmic epochs. We show that boson stars can
be stable at any time of cosmic history and that equilibrium stars are denser
in the past. We analyze three different proposed mass functions for boson star
systems, and obtain results independently of the definition adopted. We study
how the configurations depend on the value of the Jordan--Brans--Dicke coupling
constant, and the properties of the stars under extreme values of the
gravitational asymptotic constant. This last point allows us to extract
conclusions about the stability behaviour concerning the scalar field. Finally,
other dynamical variables of interest, like the radius, are also calculated. In
this regard, it is shown that the radius corresponding to the maximal boson
star mass remains roughly the same during cosmological evolution.Comment: 9 pages RevTeX file with nine figures incorporated (uses RevTeX and
epsf
Critical Velocity in 3He-B Vibrating Wire Experiments as Analog of Vacuum Instability in a Slowly Oscillating Electric Field
The Lancaster experiments with a cylindrical wire moving in superfluid 3He-B
are discussed, where the measured critical velocity of pair creation is much
below the Landau critical velocity. The phenomenon is shown to be analogous to
the instability of the electron-positron vacuum in an adiabatically alternating
strong electric potential of both signs, where the positive- and negative-root
levels cross and thus the instability treshold is twice less than in the
conventional case of a single static potential well.Comment: RevTex file, 6 pages, 4 figure
Local dark matter searches with LISA
The drag-free satellites of LISA will maintain the test masses in geodesic
motion over many years with residual accelerations at unprecedented small
levels and time delay interferometry (TDI) will keep track of their
differential positions at level of picometers. This may allow investigations of
fine details of the gravitational field in the Solar System previously
inaccessible. In this spirit, we present the concept of a method to measure
directly the gravitational effect of the density of diffuse Local Dark Matter
(LDM) with a constellation of a few drag-free satellites, by exploiting how
peculiarly it would affect their relative motion. Using as test bed an
idealized LISA with rigid arms, we find that the separation in time between the
test masses is uniquely perturbed by the LDM, so that they acquire a
differential breathing mode. Such a LDM signal is related to the LDM density
within the orbits and has characteristic spectral components, with amplitudes
increasing in time, at various frequencies of the dynamics of the
constellation. This is the relevant result, in that the LDM signal is brought
to non-zero frequencies.Comment: 8 pages, 1 figure; v2: minor changes to match the version in press on
Classical and Quantum Gravity (special issue for the 7th International LISA
Symposium proceedings
Are the singularities stable?
The spacetime singularities play a useful role in gravitational theories by
distinguishing physical solutions from non-physical ones. The problem, we
studying in this paper is: are these singularities stable? To answer this
question, we have analyzed the general problem of stability of the family of
the static spherically symmetric solutions of the standard Einstein-Maxwell
model coupled to an extra free massless scalar field. We have obtained the
equations for the axial and polar perturbations. The stability against axial
perturbations has been proven.Comment: 13 pages, LaTeX, no figure
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