195 research outputs found
Sufficient condition for Blackhole formation in spherical gravitational collapse
A sufficient condition for the validity of Cosmic Censorship in spherical
gravitational collapse is formulated and proved. The condition relies on an
attractive mathematical property of the apparent horizon, which holds if
''minimal'' requirements of physical reasonableness are satisfied by the matter
model.Comment: 5 pages, LaTeX2
Black holes vs. naked singularities formation in collapsing Einstein's clusters
Non-static, spherically symmetric clusters of counter-rotating particles, of
the type first introduced by Einstein, are analysed here. The initial data
space can be parameterized in terms of three arbitrary functions, namely;
initial density, velocity and angular momentum profiles. The final state of
collapse, black hole or naked singularity, turns out to depend on the order of
the first non-vanishing derivatives of such functions at the centre. The work
extends recent results by Harada, Iguchi and Nakao.Comment: 13 pages, LaTeX format. To appear in Physical Review
The Lovelock gravity in the critical spacetime dimension
It is well known that the vacuum in the Einstein gravity, which is linear in
the Riemann curvature, is trivial in the critical (2+1=3) dimension because
vacuum solution is flat. It turns out that this is true in general for any odd
critical dimension where is the degree of homogeneous polynomial
in Riemann defining its higher order analogue whose trace is the nth order
Lovelock polynomial. This is the "curvature" for nth order pure Lovelock
gravity as the trace of its Bianchi derivative gives the corresponding analogue
of the Einstein tensor \cite{bianchi}. Thus the vacuum in the pure Lovelock
gravity is always trivial in the odd critical (2n+1) dimension which means it
is pure Lovelock flat but it is not Riemann flat unless and then it
describes a field of a global monopole. Further by adding Lambda we obtain the
Lovelock analogue of the BTZ black hole.Comment: 3 pages, revised version with two minor changes and an author added.
Accepted for publication in Physics Letters
Non-radial null geodesics in spherical dust collapse
The issue of the local visibility of the shell-focussing singularity in
marginally bound spherical dust collapse is considered from the point of view
of the existence of future-directed null geodesics with angular momentum which
emanate from the singularity. The initial data (i.e. the initial density
profile) at the onset of collapse is taken to be of class . Simple
necessary and sufficient conditions for the existence of a naked singularity
are derived in terms of the data. It is shown that there exist future-directed
non-radial null geodesics emanating from the singularity if and only if there
exist future-directed radial null geodesics emanating from the singularity.
This result can be interpreted as indicating the robustness of previous results
on radial geodesics, with respect to the presence of angular momentum.Comment: 26 pages, 1 figur
Singularities in gravitational collapse with radial pressure
We analyze spherical dust collapse with non-vanishing radial pressure, ,
and vanishing tangential stresses. Considering a barotropic equation of state,
, we obtain an analytical solution in closed form---which is
exact for , and approximate otherwise---near the center of
symmetry (where the curvature singularity forms). We study the formation,
visibility, and curvature strength of singularities in the resulting spacetime.
We find that visible, Tipler strong singularities can develop from generic
initial data. Radial pressure alters the spectrum of possible endstates for
collapse, increasing the parameter space region that contains no visible
singularities, but cannot by itself prevent the formation of visible
singularities for sufficiently low values of the energy density. Known results
from pressureless dust are recovered in the limit.Comment: to appear in GRG; LaTeX, 22 pages, 2 eps figure
Gravitational Collapse and Cosmological Constant
We consider here the effects of a non-vanishing cosmological term on the
final fate of a spherical inhomogeneous collapsing dust cloud. It is shown that
depending on the nature of the initial data from which the collapse evolves,
and for a positive value of the cosmological constant, we can have a globally
regular evolution where a bounce develops within the cloud. We characterize
precisely the initial data causing such a bounce in terms of the initial
density and velocity profiles for the collapsing cloud. In the cases otherwise,
the result of collapse is either formation of a black hole or a naked
singularity resulting as the end state of collapse. We also show here that a
positive cosmological term can cover a part of the singularity spectrum which
is visible in the corresponding dust collapse models for the same initial data.Comment: 18 pages, no figure
Interplay of fission modes in mass distribution of light actinide nuclei 225,227Pa
Fission-fragment mass distributions were measured for 225,227Pa nuclei formed
in fusion reactions of 19F + 206, 208Pb around fusion barrier energies.
Mass-angle correlations do not indicate any quasi-fission like events in this
bombarding energy range. Mass distributions were fitted by Gaussian
distribution and mass variance extracted. At below-barrier energies, the mass
variance was found to increase with decrease in energy for both nuclei. Results
from present work were compared with existing data for induced fission of 224,
226Th and 228U around barrier energies. Enhancement in mass variance of 225,
227Pa nuclei at below-barrier energies shows evidence for presence of
asymmetric fission events mixed with symmetric fission events. This is in
agreement with the results of mass distributions of nearby nuclei 224, 226Th
and 228U where two-mode fission process was observed. Two-mode feature of
fission arises due to the shell effects changing the landscape of the potential
energy surfaces at low excitation energies. The excitation-energy dependence of
the mass variance gives strong evidence for survival of microscopic shell
effects in fission of light actinide nuclei 225, 227Pa with initial excitation
energy ~30 - 50 MeV
The spectrum of endstates of gravitational collapse with tangential stresses
The final state--black hole or naked singularity--of the gravitational
collapse of a marginally bound matter configuration in the presence of
tangential stresses is classified, in full generality, in terms of the initial
data and equation of state. If the tangential pressure is sufficiently strong,
configurations that would otherwise evolve to a spacelike singularity, result
in a locally naked singularity, both in the homogeneous and in the general,
inhomogeneous density case.Comment: 9 pages, revtex4; accepted for publication in Phys. Rev.
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