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

Forecasts for low spin black hole spectroscopy in Horndeski gravity

TL;DR: In this paper, the authors investigate the possibility of using black hole spectroscopy to constrain the parameters of Horndeski gravity through observations of gravitational waves from perturbed black holes.
Journal ArticleDOI

Black holes in Gauss–Bonnet and Chern–Simons-scalar theory

TL;DR: In this paper, the stability analysis of the Schwarzschild black hole in Gauss-Bonnet and Chern-Simons-scalar theory was carried out using two quadratic scalar couplings.

New frontiers in Numerical Relativity

TL;DR: In this paper, the authors take the field of Numerical Relativity to new frontiers by exploring its extensions to higher dimensions, non-asymptotically flat spacetimes and Einstein-Maxwell theory.
Journal ArticleDOI

Quasi-normal modes of a massless scalar field around the 5D Ricci-flat black string

TL;DR: In this paper, the authors considered the 5D Ricci-flat black string and studied the quasi-normal modes of a massless scalar field around this black string space using the classical third-order WKB approximation, and analyzed the evolution of frequencies in two aspects, one is the induced cosmological constant Λ and the other is the quantum number n.
Journal ArticleDOI

Black Hole Instabilities and Exponential Growth

TL;DR: In this article, it was shown that if a perturbation of the form \({pounds_t \delta g}\) has negative canonical energy, then it must, in fact, grow exponentially in time and a Rayleigh-Ritz type of variational principle is derived to obtain lower bounds on the rate of exponential growth.
Related Papers (5)