## 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

SHOWING 1-10 OF 11 REFERENCES

### Stability of a Schwarzschild singularity

- 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…