scispace - formally typeset
Journal ArticleDOI

Stability of a Schwarzschild Singularity

Tullio Regge, +1 more
- 15 Nov 1957 - 
- Vol. 108, Iss: 4, pp 1063-1069
TLDR
In this article, it was shown that a Schwarzschild singularity, spherically symmetrical and endowed with mass, will undergo small vibrations about the spherical form and therefore remain stable if subjected to a small nonspherical perturbation.
Abstract
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 small nonspherical perturbation.

read more

Citations
More filters
Journal ArticleDOI

Spherically symmetric black holes with electric and magnetic charge in extended gravity: Physical properties, causal structure, and stability analysis in Einstein's and Jordan's frames.

TL;DR: In this paper, the Ricci tensor and the Kretschmann scalar are derived for the class of modified gravities, which are characterized by three parameters, namely their mass and electric and magnetic charges, and constitute black hole solutions different from those in general relativity.
Journal ArticleDOI

Quasinormal modes from potentials surrounding the charged-dilaton black hole

TL;DR: In this paper, the purely imaginary quasinormal frequencies of a massless scalar perturbation on 3D charged-dilaton black holes were investigated, where the step of the potential appears outside the event horizon, similar to the case of the electromagnetic perturbations on large Schwarzschild anti-de Sitter (AdS) black holes.
Journal ArticleDOI

Anti–de Sitter geon families

TL;DR: In this paper, a detailed perturbative construction of globally regular, asymptotically anti-de Sitter (AdS) time-periodic solutions of Einstein's equations with a negative cosmological constant geons is presented.
Journal ArticleDOI

Effective action, massive gravitons and the Cosmological Constant

TL;DR: In this paper, it was shown that the expression of the zero point energy (ZPE) is equivalent to the one computed by means of a variational approach, and the zeta function regularization is closely related to the subtraction procedure appearing in the computation of Casimir energy in a curved background.
Journal ArticleDOI

Gravity’s Rainbow induces topology change

TL;DR: In this article, the authors explore the possibility that quantum fluctuations induce a topology change, in the context of gravity's rainbow, in a semiclassical approach, where the graviton one-loop contribution to a classical energy in a background spacetime is computed through a variational approach with Gaussian trial wave functionals.
Related Papers (5)