# Gravitational collapse and spacetime singularities

@inproceedings{Penrose1965GravitationalCA, title={Gravitational collapse and spacetime singularities}, author={Roger Penrose}, year={1965} }

accompanied by a violent release of energy, possible in the form of gravitational radiation. The detailed mathematical discussion of such situations is difficult since the full complexity of general relativity is required. Consequently, most exact calculations concerned with the implications of gravitational collapse have employed the simplifying assumption of spherical symmetry. Unfortunately, this precludes any detailed discussion of gravitational radiation – which requires at least a…

## 1,125 Citations

Singularities in general relativity

- Mathematics
- 1970

The problem of singularities is examined from the stand-point of a local observer. A singularity is defined as a state with an infinite proper rest mass density. The approach consists of three steps:…

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The gravitational collapse of massive stars serves to manifest the most severe deviations of general relativity with respect to Newtonian gravity: the formation of horizons and spacetime…

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A new theorem on space-time singularities is presented which largely incorporates and generalizes the previously known results. The theorem implies that space-time singularities are to be expected if…

Gravitational Radiation from a Naked Singularity

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NON-OCCURRENCE OF TRAPPED SURFACES AND BLACK HOLES IN SPHERICAL GRAVITATIONAL COLLAPSE

- Physics
- 1998

AbstractBy using the most general form of Einstein equations for General Relativistic (GTR) spherical collapse of an isolated fluid having arbitrary equation of state and radiation transport…

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- Physics
- 2009

A new numerical framework, based on the use of a simple first-order strongly hyperbolic evolution equations, is introduced and tested in the case of four-dimensional spherically symmetric gravitating…

Spherical symmetric dust collapse in vector-tensor gravity

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There is a viable vector-tensor gravity (VTG) theory, whose vector field produces repulsive forces leading to important effects. In the background universe, the effect of these forces is an…

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- MathematicsJournal of Cosmology and Astroparticle Physics
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Singularities in General Relativity are regions where the description of spacetime in terms of a pseudo-Riemannian geometry breaks down. The theory seems unable to predict the evolution of the…

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We consider the gravitational collapse of a spherically symmetric homogeneous matter distribution consisting of a Weyssenhoff fluid in the presence of a negative cosmological constant. Our aim is to…

High-speed collapse of a hollow sphere of type I matter

- Physics
- 2009

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 deviations…