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910
Naked Singularities in Higher Dimensional Gravitational Collapse
, 2008
"... Spherically symmetric inhomogeneous dust collapse has been studied in higher dimensional spacetime and the factors responsible for the appearance of a naked singularity are analyzed in the region close to the centre for the marginally bound case. It is clearly demonstrated that in the former case na ..."
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Spherically symmetric inhomogeneous dust collapse has been studied in higher dimensional spacetime and the factors responsible for the appearance of a naked singularity are analyzed in the region close to the centre for the marginally bound case. It is clearly demonstrated that in the former case
Gravitational Collapse in Higher Dimension
"... Spherically symmetric inhomogeneous dust collapse has been studied in higher dimensional spacetime and appearance of naked singularity has been analyzed both for nonmarginal and marginally bound cases. It has been shown that naked singularity is possible for any arbitrary dimension in nonmarginall ..."
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Spherically symmetric inhomogeneous dust collapse has been studied in higher dimensional spacetime and appearance of naked singularity has been analyzed both for nonmarginal and marginally bound cases. It has been shown that naked singularity is possible for any arbitrary dimension in non
Collapsing and diractype operators
 Geom. Dedicata
"... Abstract. We analyze the limit of the spectrum of a geometric Diractype operator under a collapse with bounded diameter and bounded sectional curvature. In the case of a smooth limit space B, we show that the limit of the spectrum is given by the spectrum of a certain firstorder differential opera ..."
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Cited by 6 (0 self)
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Abstract. We analyze the limit of the spectrum of a geometric Diractype operator under a collapse with bounded diameter and bounded sectional curvature. In the case of a smooth limit space B, we show that the limit of the spectrum is given by the spectrum of a certain firstorder differential
Collapsing PolynomialTime Degrees
"... For reducibilities r and r 0 such that r is weaker than r 0 , we say that the rdegree of A, i.e., the class of sets which are requivalent to A, collapses to the r 0 degree of A if both degrees coincide. We investigate for the polynomialtime bounded manyone, bounded truthtable, truthtable, and ..."
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Cited by 4 (0 self)
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For reducibilities r and r 0 such that r is weaker than r 0 , we say that the rdegree of A, i.e., the class of sets which are requivalent to A, collapses to the r 0 degree of A if both degrees coincide. We investigate for the polynomialtime bounded manyone, bounded truthtable, truthtable
Collapsible biclawfree graphs
, 2006
"... A graph is called biclawfree if it has no biclaw as an induced subgraph. In this note, we prove that if G is a connected bipartite biclawfree graph with �(G)�5, then G is collapsible, and of course supereulerian. This bound is best possible. ..."
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Cited by 1 (1 self)
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A graph is called biclawfree if it has no biclaw as an induced subgraph. In this note, we prove that if G is a connected bipartite biclawfree graph with �(G)�5, then G is collapsible, and of course supereulerian. This bound is best possible.
Collapsing Shells and the Isoperimetric Inequality for Black
, 1997
"... Recent results of Trudinger on Isoperimetric Inequalities for nonconvex bodies are applied to the gravitational collapse of a lightlike shell of matter to form a black hole. Using some integral identities for codimension two surfaces in Minkowski spacetime, the area A of the apparent horizon is sh ..."
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Cited by 28 (2 self)
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Recent results of Trudinger on Isoperimetric Inequalities for nonconvex bodies are applied to the gravitational collapse of a lightlike shell of matter to form a black hole. Using some integral identities for codimension two surfaces in Minkowski spacetime, the area A of the apparent horizon
Oscillations in Massive Collapsed Stars
"... A neutron star is modelled by a spherically symmetric distribution of nuclear matter possessing the properties of an elastic solid bounded by Newtonian gravity. 1 ..."
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A neutron star is modelled by a spherically symmetric distribution of nuclear matter possessing the properties of an elastic solid bounded by Newtonian gravity. 1
Collapsing manifolds with boundary
, 2006
"... This manuscript studies manifoldswithboundary collapsing in the GromovHausdorff topology. The main aim is an understanding of the relationship of the topology and geometry of a limiting sequence of manifoldswithboundary to that of a limit space, which is presumed to be without geodesic terminal ..."
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Cited by 3 (3 self)
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This manuscript studies manifoldswithboundary collapsing in the GromovHausdorff topology. The main aim is an understanding of the relationship of the topology and geometry of a limiting sequence of manifoldswithboundary to that of a limit space, which is presumed to be without geodesic
Existence of polarized Fstructure on collapsed manifolds with bounded curvature and diameter
 GAFA
, 1996
"... We study the class of collapsed Riemannian nmanifolds with bounded sectional curvature and diameter. Our main result asserts that there is a constant, 5(n, d)> 0, such that ifa compact nmanifold has bounded curvature, [KMI< 1, bounded diameter, diam(M n) < d and sufficiently small vo ..."
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Cited by 9 (3 self)
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We study the class of collapsed Riemannian nmanifolds with bounded sectional curvature and diameter. Our main result asserts that there is a constant, 5(n, d)> 0, such that ifa compact nmanifold has bounded curvature, [KMI< 1, bounded diameter, diam(M n) < d and sufficiently small
On the Collapse of Charged Scalar Fields
, 2003
"... We explore numerically the evolution of a collapsing spherical shell of charged, massless scalar field. We obtain an external ReissnerNördstrom spacetime, and an inner spacetime that is bounded by a singularity on the Cauchy Horizon. We compare these results with previous analysis and discuss som ..."
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We explore numerically the evolution of a collapsing spherical shell of charged, massless scalar field. We obtain an external ReissnerNördstrom spacetime, and an inner spacetime that is bounded by a singularity on the Cauchy Horizon. We compare these results with previous analysis and discuss
Results 21  30
of
910