“Golden Oldie”: Gravitational Collapse: The Role of General Relativity

@article{Penrose2002GoldenOG,
  title={“Golden Oldie”: Gravitational Collapse: The Role of General Relativity},
  author={Roger Penrose},
  journal={General Relativity and Gravitation},
  year={2002},
  volume={34},
  pages={1141-1165}
}
  • R. Penrose
  • Published 1 July 2002
  • Physics
  • General Relativity and Gravitation
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References

SHOWING 1-10 OF 24 REFERENCES
Gravitational collapse and spacetime singularities
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
Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
This paper is divided into four parts. In part A, some general considerations about gravitational radiation are followed by a treatment of the scalar wave equation in the manner later to be applied
A Comparison of Whitehead's and Einstein's Formulæ
IN Whitehead's theory of gravitation, as in Einstein's, the tracks of particles in a gravitational field are determined by the condition that a certain integral taken along the track is stationary.
Global structure of the Kerr family of gravitational fields
The Kerr family of solutions of the Einstein and Einstein-Maxwell equations is the most general class of solutions known at present which could represent the field of a rotating neutral or
Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
  • R. Sachs
  • Physics
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1962
Gravitational fields containing bounded sources and gravitational radiation are examined by analyzing their properties at spatial infinity. A convenient way of splitting the metric tensor and the
Investigations in relativistic cosmology
Abstract (by translator) A detailed report is given here of the general investigations carried out by the authors in the field of relativistic cosmology during the past years. The paper consists of
On Massive neutron cores
It has been suggested that, when the pressure within stellar matter becomes high enough, a new phase consisting of neutrons will be formed. In this paper we study the gravitational equilibrium of
Past-Future Asymmetry of the Gravitational Field of a Point Particle
The analytic extension of the Schwarzschild exterior solution is given in a closed form valid throughout empty space-time and possessing no irregularities except that at the origin. The gravitational
Event horizons in static electrovac space-times
The following theorem is established. Among all static, asymptotically flat electrovac fields with closed, simply-connected equipotential surfacesg0 0=const.. the only ones which have regular event
Some spherical gravitational waves in general relativity
  • I. Robinson, A. Trautman
  • Physics, Mathematics
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1962
Einstein's equations for empty space are solved for the class of metrics which admit a family of hypersurface-orthogonal, non-shearing, diverging null curves. Some of these metrics may be considered
...
...