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It has recently been shown that the strong cosmic censorship conjecture can be violated by the massless neutral scalar field in the nearly extremal Reissner-Nordstrom-de Sitter black hole. However, the formation of such a black hole by…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Yuyu Mo , Yu Tian , Bin Wang , Hongbao Zhang , Zhen Zhong

The Strong Cosmic Censorship conjecture states that for generic initial data to Einstein's field equations, the maximal globally hyperbolic development is inextendible. We prove this conjecture in the class of orthogonal Bianchi class B…

General Relativity and Quantum Cosmology · Physics 2017-12-13 Katharina Radermacher

We investigate self-similar scalar field solutions to the Einstein equations in whole cylinder symmetry. Imposing self-similarity on the spacetime gives rise to a set of single variable functions describing the metric. Furthermore, it is…

General Relativity and Quantum Cosmology · Physics 2015-06-30 Eoin Condron , Brien C. Nolan

We consider general initial data for the Einstein scalar-field system on a closed $3$-manifold $(M,\gamma)$ which is close to data for a Friedman-Lema\^itre-Robertson-Walker solution with homogeneous scalar field matter and a negative…

General Relativity and Quantum Cosmology · Physics 2025-06-25 David Fajman , Liam Urban

Transforming Penrose's intuitive picture of a strong cosmic censorship principle, that generically forbids the appearance of locally naked space-time singularities, into a formal mathematical proof, remains at present, one of the most…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Wenceslao Santiago-Germán

We present investigations of a class of solutions of Einstein's field equations close to the family of lambda-Taub-NUT spacetimes. The studies are done using a numerical code introduced by the author elsewhere. One of the main technical…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Florian Beyer

Exact solutions of the Einstein-Maxwell equations that describe moving black holes in a cosmological setting are discussed with the aim of discovering the global structure and testing cosmic censorship. Continuation beyond the horizons…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Dieter R. Brill

This is the second and last paper of a two-part series in which we prove the $C^2$-formulation of the strong cosmic censorship conjecture for the Einstein-Maxwell-(real)-scalar-field system in spherical symmetry for two-ended asymptotically…

General Relativity and Quantum Cosmology · Physics 2019-02-25 Jonathan Luk , Sung-Jin Oh

A new class of solutions of the Einstein field equations in spherical symmetry is found. The new solutions are mathematically described as the metrics admitting separation of variables in area-radius coordinates. Physically, they describe…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Roberto Giambo' , Fabio Giannoni , Giulio Magli , Paolo Piccione

This paper addresses strong cosmic censorship for spacetimes with self-gravitating collisionless matter, evolving from surface-symmetric compact initial data. The global dynamics exhibit qualitatively different features according to the…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Mihalis Dafermos , Alan D. Rendall

This is the first and main paper of a two-part series, in which we prove the $C^{2}$-formulation of the strong cosmic censorship conjecture for the Einstein-Maxwell-(real)-scalar-field system in spherical symmetry for two-ended…

General Relativity and Quantum Cosmology · Physics 2019-02-25 Jonathan Luk , Sung-Jin Oh

Cosmic censorship protects the outside world from black hole singularities and paves the way for assigning entropy to gravity at the event horizons. We point out a tension between cosmic censorship and the quantum backreacted geometry of…

General Relativity and Quantum Cosmology · Physics 2024-03-21 José Navarro-Salas

The strong cosmic censorship hypothesis has recently regained a lot of attention in charged and rotating black holes immersed in de Sitter space. Although the picture seems to be clearly leaning towards the validity of the hypothesis in…

General Relativity and Quantum Cosmology · Physics 2019-11-04 Kyriakos Destounis , Rodrigo D. B. Fontana , Filipe C. Mena , Eleftherios Papantonopoulos

A Spin-polarised cylindrically symmetric exact class of solutions endowed with magnetic fields in Einstein-Cartan-Maxwell gravity is obtained. Application of matching conditions to this interior solution having an exterior as Einstein's…

General Relativity and Quantum Cosmology · Physics 2015-06-25 L. C. Garcia de Andrade

For the cylindrically symmetric ''asymptotically flat'' Einstein equations in the case of electro-vacuum it is known that solutions exist globally and also that this class of spacetimes is causally geodesically complete. Hence strong cosmic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mikael Fjallborg

We present new evidence in support of the Penrose's strong cosmic censorship conjecture in the class of Gowdy spacetimes with $T^3$ spatial topology. Solving Einstein's equations perturbatively to all orders we show that asymptotically…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Boro Grubisic , Vincent Moncrief

We prove the weak cosmic censorship conjecture in $2+1$ spacetime dimensions for the circularly symmetric Einstein-scalar field system in the presence of a negative cosmological constant $\Lambda<0$. More precisely, we show that for any…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Serban Cicortas

Let $M$ be a connected, simply connected, oriented, closed, smooth four-manifold which is spin (or equivalently having even intersection form) and put $M^\times:=M\setminus\{{\rm point}\}$.In this paper we prove that if $X^\times$ is a…

Differential Geometry · Mathematics 2021-03-03 Gabor Etesi

Strong cosmic censorship conjecture has been one of the most important leap of faith in the context of general relativity, providing assurance in the deterministic nature of the associated field equations. Though it holds well for…

General Relativity and Quantum Cosmology · Physics 2019-03-28 Mostafizur Rahman , Sumanta Chakraborty , Soumitra SenGupta , Anjan A. Sen

A physical interpretation of the recently discovered vast class of vacuum space-times, which stably violate the strong cosmic censor conjecture (in its usual broad formulation) in four dimensions, is exhibited. Namely, by elementary Morse…

General Relativity and Quantum Cosmology · Physics 2021-03-03 Gabor Etesi