Gravitational collapse with non-vanishing tangential stresses: II. A laboratory for cosmic censorship experiments

@article{Magli1997GravitationalCW,
  title={Gravitational collapse with non-vanishing tangential stresses: II. A laboratory for cosmic censorship experiments},
  author={Giulio Magli},
  journal={Classical and Quantum Gravity},
  year={1997},
  volume={15},
  pages={3215-3228}
}
  • G. Magli
  • Published 27 November 1997
  • Physics
  • Classical and Quantum Gravity
The general exact solution describing the dynamics of anisotropic elastic spheres supported only by tangential stresses is reduced to a quadrature using Ori's mass-area coordinates. This leads to the explicit construction of the root equation governing the nature of the central singularity. Using this equation, we formulate and motivate on physical grounds a conjecture on the nature of this singularity. The conjecture covers a large sector of the space of initial data; roughly speaking, it… Expand
Gravitational collapse with non-vanishing tangential stresses II: extension to the charged case and general solution
The exact solutions of the Einstein field equations describing spherically symmetric, ani-sotropic elastic spheres supported only by tangential stresses are generalized to the case of materialsExpand
GRAVITATIONAL COLLAPSE WITH TANGENTIAL PRESSURE
Using the general formalism for spherical gravitational collapse developed in [P. S. Joshi and I. H. Dwivedi, Class. Quant. Grav.16 (1999) 41; P. S. Joshi and R. Goswami, Phys. Rev. D76 (2007)Expand
Equilibrium configurations from gravitational collapse
We develop here a new procedure within Einstein’s theory of gravity to generate equilibrium configurations that result as the final state of gravitational collapse from regular initial conditions. AsExpand
Self-similar spherical metrics with tangential pressure
A family of spherically symmetric spacetimes is discussed, which have anisotropic pressure and possess a homothetic Killing vector. The spacetimes are composed of dust with a tangential pressureExpand
Naked Singularities Formation in the Gravitational Collapse of Barotropic Spherical Fluids
The gravitational collapse of spherical, barotropic perfect fluids is analyzed here. For the first time, the final state of these systems is studied without resorting to simplifying assumptions -Expand
Gravitational collapse in asymptotically anti de Sitter or de Sitter backgrounds
We study here the gravitational collapse of a matter cloud with a nonvanishing tangential pressure in the presence of a nonzero cosmological term {lambda}. It is investigated how {lambda} modifiesExpand
Collapse of spherical charged anisotropic fluid spacetimes
A class of spherical collapsing exact solutions with electromagnetic charge is derived. This class of solutions—in general anisotropic—contains however as a particular case the charged dust modelExpand
High-speed collapse of a hollow sphere of type I matter
In this paper, we study the dynamics of a hollow spherical matter collapsing with a very large initial velocity. The spacetime is initially very similar to the Vaidya solution, and the deviationsExpand
Shell-crossings in Gravitational Collapse
While studying the continual gravitational collapse of a massive matter cloud in general relativity towards examining collapse final states, an important issue is that of whether shell-crossingExpand
INITIAL DATA AND THE END STATE OF SPHERICALLY SYMMETRIC GRAVITATIONAL COLLAPSE
Generalizing earlier results on the initial data and the final fate of dust collapse, we study here the relevance of the initial state of a spherically symmetric matter cloud towards determining itsExpand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 28 REFERENCES
Role of initial data in the gravitational collapse of inhomogeneous dust.
TLDR
It is found that the end state of the collapse of a spherically symmetric inhomogeneous dust cloud described by the Tolman-Bondi models is either a black hole or a naked singularity, depending on the parameters of the initial density distribution. Expand
On the occurrence of naked singularity in spherically symmetric gravitational collapse
Generalizing earlier results of [1], we analyze here the spherically symmetric gravitational collapse of a matter cloud with a general form of matter for the formation of a naked singularity. It isExpand
Cosmic censorship and the role of pressure in gravitational collapse
Assuming the weak energy condition, we study the nature of the non-central shell-focusing singularity which can form in the gravitational collapse of a spherical compact object in classical generalExpand
Spherical gravitational collapse with tangential pressure
We study the spherical gravitational collapse of a compact object under the approximation that the radial pressure is identically zero, and the tangential pressure is related to the density by aExpand
Local anisotropy in self-gravitating systems
Abstract We review and discuss possible causes for the appearance of local anisotropy (principal stresses unequal) in self-gravitating systems and present its main consequences. We consider bothExpand
RELATIVISTIC EQUATIONS FOR ADIABATIC, SPHERICALLY SYMMETRIC GRAVITATIONAL COLLAPSE
The Einstein equations for a spherically symmetrical distribution of matter are studied. The matter is described by the stress-energy tensor of an ideal fluid (heat flow and radiation are thereforeExpand
The final fate of spherical inhomogeneous dust collapse
We examine, in a general manner, the role played by the initial density and velocity distributions in the gravitational collapse of a spherically symmetric inhomogeneous dust cloud. Such a collapseExpand
Critical Phenomena in Gravitational Collapse
TLDR
This review gives an introduction to the phenomena, tries to summarize the essential features of what is happening, and then presents extensions and applications of this basic scenario. Expand
The final fate of spherical inhomogeneous dust collapse: II. Initial data and causal structure of the singularity
Further to results given by Singh and Joshi, pointing out the role of initial density and velocity distributions towards determining the final outcome of spherical dust collapse, the causal structureExpand
Inevitability of shell crossing in the gravitational collapse of weakly charged dust spheres.
  • Ori
  • Physics, Medicine
  • Physical review. D, Particles and fields
  • 1991
TLDR
It is shown here that shell crossing is inevitable in the gravitational collapse of weakly charged ({vert bar}charge density{vert bar}{lt}mass density) dust spheres, and its potential to affect drasticallymore » the causal structure, is in remarkable contrast to common ideas about charged-dust collapse. Expand
...
1
2
3
...