111 research outputs found
Divergence of the Quantum Stress Tensor on the Cauchy Horizon in 2-d Dust Collapse
We prove that the quantum stress tensor for a massless scalar field in two
dimensional non-selfsimilar Tolman Bondi dust collapse and Vaidya radiation
collapse models diverges on the Cauchy horizon, if the latter exists. The two
dimensional model is obtained by suppressing angular co-ordinates in the
corresponding four dimensional spherical model.Comment: 16 pages, no figures, LaTeX fil
Quantum Radiation from Black Holes and Naked Singularities in Spherical Dust Collapse
A sufficiently massive collapsing star will end its life as a spacetime
singularity. The nature of the Hawking radiation emitted during collapse
depends critically on whether the star's boundary conditions are such as would
lead to the eventual formation of a black hole or, alternatively, to the
formation of a naked singularity. This latter possibility is not excluded by
the singularity theorems. We discuss the nature of the Hawking radiation
emitted in each case. We justify the use of Bogoliubov transforms in the
presence of a Cauchy horizon and show that if spacetime is assumed to terminate
at the Cauchy horizon, the resulting spectrum is thermal, but with a
temperature different from the Hawking temperature.Comment: PHYZZX macros, 27 pages, 3 figure
Gravitational Collapse, Black Holes and Naked Singularities
This article gives an elementary review of gravitational collapse and the
cosmic censorship hypothesis. Known models of collapse resulting in the
formation of black holes and naked singularities are summarized. These models,
when taken together, suggest that the censorship hypothesis may not hold in
classical general relativity. The nature of the quantum processes that take
place near a naked singularity, and their possible implication for
observations, is briefly discussed.Comment: 17 pages, Latex File. Based on a talk given at the Discussion
Workshop on Black Holes, Bangalore, 9-12 Dec. 1997, to appear in the
Conference Proceeding
Cellulose Acetate Binder-Based LOVA Gun Propellant for Tank Guns.
Cellulose acetate (CA) binder-based low vulnerability ammunition (LOYA) gun propellant formulations with varying percentages of fine RDX as energetic ingredient have been studied. RDX percentage varied from 76 to 80 in these formulations. An optimised composition with 78 per cent RDX was then studied exhaustively. Ballistic data determined by closed vessel (CV) evaluation and vulnerability aspects obtained by safety tests were then compared vis-a-vis the properties of standard triple base NQ composition. Theoretical prediction and CV test results indicated that the CA binder-based LOVA gun propellant Could satisfactorily meet the ballistic requirements for gun application
Gravitational Collapse of Inhomogeneous Dust in (2+1) Dimensions
We examine the gravitational collapse of spherically symmetric inhomogeneous
dust in (2+1) dimensions, with cosmological constant. We obtain the analytical
expressions for the interior metric. We match the solution to a vacuum
exterior. We discuss the nature of the singularity formed by analyzing the
outgoing radial null geodesics. We examine the formation of trapped surfaces
during the collapse.Comment: Accepted for publication in CQ
Naked Singularities in Higher Dimensional Szekeres Space-time
In this paper we study the quasi-spherical gravitational collapse of (n+2)
dimensional Szekeres space-time. The nature of the central shell focusing
singularity so formed is analyzed by studying both the radial null and
time-like geodesic originated from it. We follow the approach of Barve et al to
analyze the null geodesic and find naked singularity in different situations.Comment: 11 Latex Pages, 4 figures, RevTex styl
Physical aspects of naked singularity explosion - How does a naked singularity explode? --
The behaviors of quantum stress tensor for the scalar field on the classical
background of spherical dust collapse is studied. In the previous works
diverging flux of quantum radiation was predicted. We use the exact expressions
in a 2D model formulated by Barve et al. Our present results show that the back
reaction does not become important during the semiclassical phase. The
appearance of the naked singularity would not be affected by this quantum field
radiation. To predict whether the naked singularity explosion occurs or not we
need the theory of quantum gravity. We depict the generation of the diverging
flux inside the collapsing star. The quantum energy is gathered around the
center positively. This would be converted to the diverging flux along the
Cauchy horizon. The ingoing negative flux crosses the Cauchy horizon. The
intensity of it is divergent only at the central naked singularity. This
diverging negative ingoing flux is balanced with the outgoing positive
diverging flux which propagates along the Cauchy horizon. After the replacement
of the naked singularity to the practical high density region the instantaneous
diverging radiation would change to more milder one with finite duration.Comment: 18 pages, 16 figure
Toward a Midisuperspace Quantization of LeMaitre-Tolman-Bondi Collapse Models
LeMa\^\i tre-Tolman-Bondi models of spherical dust collapse have been used
and continue to be used extensively to study various stellar collapse
scenarios. It is by now well-known that these models lead to the formation of
black holes and naked singularities from regular initial data. The final
outcome of the collapse, particularly in the event of naked singularity
formation, depends very heavily on quantum effects during the final stages.
These quantum effects cannot generally be treated semi-classically as quantum
fluctuations of the gravitational field are expected to dominate before the
final state is reached. We present a canonical reduction of LeMa\^\i
tre-Tolman-Bondi space-times describing the marginally bound collapse of
inhomogeneous dust, in which the physical radius, , the proper time of the
collapsing dust, , and the mass function, , are the canonical
coordinates, , and on the phase space. Dirac's
constraint quantization leads to a simple functional (Wheeler-DeWitt) equation.
The equation is solved and the solution can be employed to study some of the
effects of quantum gravity during gravitational collapse with different initial
conditions.Comment: 9 pages, 1 figure, Latex file. Minor corrections made. A general
solution of the constraints is presented. Revised version to appear in Phys.
Rev.
Role of Initial Data in Higher Dimensional Quasi-Spherical Gravitational Collapse
We study the gravitational collapse in ()-D quasi-spherical Szekeres
space-time (which possess no killing vectors) with dust as the matter
distribution. Instead of choosing the radial coordinate `' as the initial
value for the scale factor , we consider a power function of as the
initial scale for the radius . We examine the influence of initial data on
the formation of singularity in gravitational collapse.Comment: 7 Latex Pages, RevTex Style, No figure
Naked Singularity Explosion
It is known that the gravitational collapse of a dust ball results in naked
singularity formation from an initial density profile which is physically
reasonable. In this paper, we show that explosive radiation is emitted during
the formation process of the naked singularity.Comment: 6 pages, 3 figures, Accepted for Publication in Phys. Rev. D as a
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