3 Citations
Singularities, Black Holes, and Cosmic Censorship: A Tribute to Roger Penrose
- PhysicsFoundations of Physics
- 2021
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
- Mathematics
- 1974
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
- Physics
- 1971
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,…
References
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- Physics
- 1957
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
- Physics
- 1971
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
- Physics
- 1968
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
- Physics
- 1970
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
- Physics
- 1967
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
- Physics
- 1968
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
- Physics
- 1970
Two idealized collapse models, involving a magnetic dipole and a gravitational quadrupole, are analyzed, treating departures from sphericity as small perturbations. Radiative leakage (largely…