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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.

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Naked Singularities are not Singular in Distorted Gravity

TL;DR: In this paper, the zero point energy (ZPE) induced by a naked singularity with the help of a reformulation of the Wheeler-DeWitt equation was computed with Gaussian Trial Wave Functionals.
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Relativistic and Newtonian Core-Shell Models: Analytical and Numerical Results

TL;DR: In this paper, the authors make a detailed analysis of the exact relativistic core-shell models recently proposed to describe a black hole or neutron star surrounded by an axially symmetric hollow halo of matter and in a seminal sense also galaxies.
Journal ArticleDOI

Metric of a tidally perturbed spinning black hole

TL;DR: In this paper, the authors explicitly construct the metric of a Kerr black hole that is tidally perturbed by the external universe in the slow-motion approximation, which allows the parameterization of the Newman-Penrose scalar by time-dependent electric and magnetic tensors.
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Spherically symmetric brane spacetime with bulk $f(\mathcal{R})$ gravity

TL;DR: In this paper, the authors derived effective Einstein's equation on the brane using Gauss-Codazzi equation and solved for different conditions on dark radiation and dark pressure to obtain various spherically symmetric solutions.
Journal ArticleDOI

CMB and BBN constraints on evaporating primordial black holes revisited

TL;DR: In this article, the authors derive new CMB anisotropy power spectrum and BBN constraints for evaporating primordial black holes by explicitly solving the electromagnetic particle cascades of emitted particles and the deposition of this emitted energy to the background baryon-photon plasma.
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