692 research outputs found
The naked singularity in the global structure of critical collapse spacetimes
We examine the global structure of scalar field critical collapse spacetimes
using a characteristic double-null code. It can integrate past the horizon
without any coordinate problems, due to the careful choice of constraint
equations used in the evolution. The limiting sequence of sub- and
supercritical spacetimes presents an apparent paradox in the expected Penrose
diagrams, which we address in this paper. We argue that the limiting spacetime
converges pointwise to a unique limit for all r>0, but not uniformly. The r=0
line is different in the two limits. We interpret that the two different
Penrose diagrams differ by a discontinuous gauge transformation. We conclude
that the limiting spacetime possesses a singular event, with a future removable
naked singularity.Comment: RevTeX 4; 6 pages, 7 figure
Thermophysical properties of near-Earth asteroid (341843) 2008 EV5 from WISE data
Aims. To derive the thermal inertia of 2008 EV, the baseline target for
the Marco Polo-R mission proposal, and infer information about the size of the
particles on its surface. Methods. Values of thermal inertia are obtained by
fitting an asteroid thermophysical model to NASA's Wide-field Infrared Survey
Explorer (WISE) infrared data. From the constrained thermal inertia and a model
of heat conductivity that accounts for different values of the packing fraction
(a measure of the degree of compaction of the regolith particles), grain size
is derived. Results. We obtain an effective diameter , geometric visible albedo (assuming
), and thermal inertia J/m2/s(1/2)/K at
the 1- level of significance for its retrograde spin pole solution. The
regolith particles radius is mm for low degrees of
compaction, and mm for the highest packing densities.Comment: 16 pages, 8 figures; accepted for publication in Astronomy &
Astrophysic
Continuous Self-Similarity Breaking in Critical Collapse
This paper studies near-critical evolution of the spherically symmetric
scalar field configurations close to the continuously self-similar solution.
Using analytic perturbative methods, it is shown that a generic growing
perturbation departs from the critical Roberts solution in a universal way. We
argue that in the course of its evolution, initial continuous self-similarity
of the background is broken into discrete self-similarity with echoing period
, reproducing the symmetries of the critical
Choptuik solution.Comment: RevTeX 3.1, 28 pages, 5 figures; discussion rewritten to clarify
several issue
Dimension-Dependence of the Critical Exponent in Spherically Symmetric Gravitational Collapse
We study the critical behaviour of spherically symmetric scalar field
collapse to black holes in spacetime dimensions other than four. We obtain
reliable values for the scaling exponent in the supercritical region for
dimensions in the range . The critical exponent increases
monotonically to an asymptotic value at large of . The
data is well fit by a simple exponential of the form: .Comment: 5 pages, including 7 figures New version contains more data points,
one extra graph and more accurate error bars. No changes to result
Scalar field collapse in three-dimensional AdS spacetime
We describe results of a numerical calculation of circularly symmetric scalar
field collapse in three spacetime dimensions with negative cosmological
constant. The procedure uses a double null formulation of the Einstein-scalar
equations. We see evidence of black hole formation on first implosion of a
scalar pulse if the initial pulse amplitude is greater than a critical
value . Sufficiently near criticality the apparent horizon radius
grows with pulse amplitude according to the formula .Comment: 10 pages, 1 figure; references added, to appear in CQG(L
Dipole Perturbations of the Reissner-Nordstrom Solution: The Polar Case
The formalism developed by Chandrasekhar for the linear polar perturbations
of the Reissner-Nordstrom solution is generalized to include the case of dipole
(l=1) perturbations. Then, the perturbed metric coefficients and components of
the Maxwell tensor are computed.Comment: 16 pages, LaTeX, no figures. Submitted for publication in Physical
Review
Phases of massive scalar field collapse
We study critical behavior in the collapse of massive spherically symmetric
scalar fields. We observe two distinct types of phase transition at the
threshold of black hole formation. Type II phase transitions occur when the
radial extent of the initial pulse is less than the Compton
wavelength () of the scalar field. The critical solution is that
found by Choptuik in the collapse of massless scalar fields. Type I phase
transitions, where the black hole formation turns on at finite mass, occur when
. The critical solutions are unstable soliton stars with
masses \alt 0.6 \mu^{-1}. Our results in combination with those obtained for
the collapse of a Yang-Mills field~{[M.~W. Choptuik, T. Chmaj, and P. Bizon,
Phys. Rev. Lett. 77, 424 (1996)]} suggest that unstable, confined solutions to
the Einstein-matter equations may be relevant to the critical point of other
matter models.Comment: 5 pages, RevTex, 4 postscript figures included using psfi
Domain wall interacting with a black hole: A new example of critical phenomena
We study a simple system that comprises all main features of critical
gravitational collapse, originally discovered by Choptuik and discussed in many
subsequent publications. These features include universality of phenomena,
mass-scaling relations, self-similarity, symmetry between super-critical and
sub-critical solutions, etc.
The system we consider is a stationary membrane (representing a domain wall)
in a static gravitational field of a black hole. For a membrane that spreads to
infinity, the induced 2+1 geometry is asymptotically flat. Besides solutions
with Minkowski topology there exists also solutions with the induced metric and
topology of a 2+1 dimensional black hole. By changing boundary conditions at
infinity, one finds that there is a transition between these two families. This
transition is critical and it possesses all the above-mentioned properties of
critical gravitational collapse. It is remarkable that characteristics of this
transition can be obtained analytically. In particular, we find exact
analytical expressions for scaling exponents and wiggle-periods.
Our results imply that black hole formation as a critical phenomenon is far
more general than one might expect.Comment: 23 pages, 5 postscript figures include
Dimensional Dependence of Black Hole Formation in Self-Similar Collapse of Scalar Field
We study classical and quantum self-similar collapses of a massless scalar
field in higher dimensions, and examine how the increase in the number of
dimensions affects gravitational collapse and black hole formation. Higher
dimensions seem to favor formation of black hole rather than other final
states, in that the initial data space for black hole formation enlarges as
dimension increases. On the other hand, the quantum gravity effect on the
collapse lessens as dimension increases. We also discuss the gravitational
collapse in a brane world with large but compact extra dimensions.Comment: Improved a few arguments and added a figur
Test of the Equivalence Principle Using a Rotating Torsion Balance
We used a continuously rotating torsion balance instrument to measure the
acceleration difference of beryllium and titanium test bodies towards sources
at a variety of distances. Our result Delta a=(0.6+/-3.1)x10^-15 m/s^2 improves
limits on equivalence-principle violations with ranges from 1 m to infinity by
an order of magnitude. The Eoetvoes parameter is eta=(0.3+/-1.8)x10^-13. By
analyzing our data for accelerations towards the center of the Milky Way we
find equal attractions of Be and Ti towards galactic dark matter, yielding
eta=(-4 +/- 7)x10^-5. Space-fixed differential accelerations in any direction
are limited to less than 8.8x10^-15 m/s^2 with 95% confidence.Comment: 4 pages, 4 figures; accepted for publication in PR
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