Event horizons and gravitational collapse

  title={Event horizons and gravitational collapse},
  author={Werner Israel},
  journal={General Relativity and Gravitation},
  • W. Israel
  • Published 1971
  • Physics
  • General Relativity and Gravitation

Singularities, Black Holes, and Cosmic Censorship: A Tribute to Roger Penrose

In the light of his recent (and fully deserved) Nobel Prize, this pedagogical paper draws attention to a fundamental tension that drove Penrose’s work on general relativity. His 1965 singularity

On the stationary gravitational fields

The stationary gravitational equations in vacuum are expressed in five different forms. A necessary integral condition on the twist potential φ is derived. The Papapetrou‐Ehlers class of stationary

On event horizons in static space-times

A proof of the (vacuum) Israel theorem on event horizons in static space-times is given employing the Newman-Penrose formalism. The theorem is extended to include the case of a static, massive,



Stability of a Schwarzschild singularity

It is shown that a Schwarzschild singularity, spherically symmetrical and endowed with mass, will undergo small vibrations about the spherical form and will therefore remain stable if subjected to a

Axisymmetric Black Hole Has Only Two Degrees of Freedom

A theorem is described which establishes the claim that in a certain canonical sense the Kerr metrics represent "the" (rather than merely "some possible") exterior fields of black holes with the

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

Event horizons in static scalar-vacuum space-times

The following theorem is established. Every zero-mass scalar field which is gravitationally coupled, static and asymptotically flat, becomes singular at a simply-connected event horizon. In the

Event Horizons in Static Vacuum Space-Times

The following theorem is established. Among all static, asymptotically flat vacuum space-times with closed simply connected equipotential surfaces ${g}_{00}=\mathrm{constant}$, the Schwarzschild

Reality of the Schwarzschild Singularity

A spherically symmetric solution of the Einstein equations is presented that coincides with the exterior ($\mathcal{r}g2m$) Schwarzschild solution, but where the Schwarzschild "sphere" becomes a

Gravitational Collapse with Asymmetries

Two idealized collapse models, involving a magnetic dipole and a gravitational quadrupole, are analyzed, treating departures from sphericity as small perturbations. Radiative leakage (largely