Gravitational collapse and spacetime singularities

  title={Gravitational collapse and spacetime singularities},
  author={Roger Penrose},
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… Expand
Singularities in general relativity
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:Expand
The singularities of gravitational collapse and cosmology
  • S. Hawking, R. Penrose
  • Physics
  • Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1970
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 ifExpand
Where Does the Physics of Extreme Gravitational Collapse Reside
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 spacetimeExpand
Gravitational Radiation from a Naked Singularity
The motion of a spherical dust cloud is described by the Lemaitre-Tolman-Bondi solution and is completely specified by initial values of distributions of the rest mass density and specific energy ofExpand
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 transportExpand
Gravitational collapse and topology change in spherically symmetric dynamical systems
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 gravitatingExpand
Spherical symmetric dust collapse in vector-tensor gravity
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 anExpand
Gravitational Tunnelling of Relativistic Shells
Thin shells in general relativity have been used in the past as keystones to obtain realistic models of cosmological and astrophysical situations. A crucial role for these developments was played byExpand
Through the Big Bang in inflationary cosmology
  • F. Mercati
  • Physics
  • Journal of Cosmology and Astroparticle Physics
  • 2019
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 theExpand
The formation of black holes in spherically symmetric gravitational collapse
We consider the spherically symmetric, asymptotically flat Einstein–Vlasov system. We find explicit conditions on the initial data, with ADM mass M, such that the resulting spacetime has theExpand