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A new criterion for inextendibility of expanding cosmological models with symmetry is presented. It is applied to derive a number of new results and to simplify the proofs of existing ones. In particular it shows that the solutions of the…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Mihalis Dafermos , Alan D. Rendall

Rotating and/or charged black hole spacetimes possess a Cauchy horizon, beyond which Einstein's equations of General Relativity cease to be deterministic. This led to the formulation of the Strong Cosmic Censorship conjecture that such…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Marc Casals , Cássio I. S. Marinho

The strong cosmic censorship has recently been put into question for the charged black holes in de Sitter space. We have performed the full non-linear evolution of the massless charged scalar field minimally coupled to the Einstein-Maxwell…

High Energy Physics - Theory · Physics 2019-10-04 Hongbao Zhang , Zhen Zhong

A general relativistic model of a parallel-plate electrostatic capacitor is presented. The spacetime is a solution to the Einstein--Maxwell equations and involves class of solution previously studied by Vesel\'{y} and \v{Z}ofka (V\v{Z}). In…

General Relativity and Quantum Cosmology · Physics 2023-06-05 Ian Khai-Shuen Ng , Wei Zheng Choo , Yen-Kheng Lim

We explore the cosmic censorship in the Einstein-Maxwell-dilaton theory following Wald's thought experiment to destroy a black hole by throwing in a test particle. We discover that at probe limit the extremal charged dilaton black hole…

General Relativity and Quantum Cosmology · Physics 2018-05-01 Ten-Yeh Yu , Wen-Yu Wen

Classically, all topologies are allowed as solutions to the Einstein equations. However, one does not observe any topological structures on medium range distance scales, that is scales that are smaller than the size of the observed universe…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kristin Schleich , Donald M. Witt

This talk describes some recent results [16] regarding the problem of uniqueness in the large (also known as strong cosmic censorship) for the initial value problem in general relativity. In order to isolate the essential analytic features…

General Relativity and Quantum Cosmology · Physics 2011-10-13 Mihalis Dafermos

Recently, it is found that the strong cosmic censorship (SCC) is violated in RNdS black hole by a minimal coupled neutral massless scalar field at the linear perturbation level. For the Einstein-Maxwell-Scalar-Gauss-Bonnet theory which is…

General Relativity and Quantum Cosmology · Physics 2022-05-11 Aofei Sang , Jie Jiang

In this thesis we consider several aspects of general relativity relating to exact solutions of the Einstein equations. In the first part gravitational plane waves in the Rosen form are investigated, and we develop a formalism for writing…

General Relativity and Quantum Cosmology · Physics 2011-07-29 Bethan Cropp

In this paper it is argued that even invoking the dominant energy condition, the Einstein's field equations admit nonglobally hyperbolic, asymptotically de Sitter spacetimes with locally naked singularities and with Cauchy horizons failing…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Wenceslao Santiago-Germán

In curved spacetime, Maxwell's equations can be expressed in forms valid in Minkowski background, with the effect of the metric (gravity) appearing as effective polarizations and magnetizations. The electric and magnetic (EM) fields depend…

General Relativity and Quantum Cosmology · Physics 2023-12-25 Jai-chan Hwang , Hyerim Noh

This thesis is concerned with global properties of those cosmological solutions of Einstein's field equations which obey accelerated expansion into the future driven by a non-vanishing cosmological constant, as suggested by current…

General Relativity and Quantum Cosmology · Physics 2007-10-24 Florian Beyer

We investigate extremal electrically charged black holes in Einstein-Maxwell-dilaton theory with a cosmological constant inspired by string theory. These solutions are not static, and a timelike singularity eventually appears which is not…

High Energy Physics - Theory · Physics 2010-01-06 James H. Horne , Gary T. Horowitz

It was recently shown that Strong Cosmic Censorship may be violated in highly charged black-hole spacetimes living in a universe with a positive cosmological constant. Several follow-up works have since suggested that such result, while…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Vitor Cardoso , Joao L. Costa , Kyriakos Destounis , Peter Hintz , Aron Jansen

Motivated by the Strong Cosmic Censorship Conjecture, in the presence of a cosmological constant, we consider solutions of the scalar wave equation $\Box_g\phi=0$ on fixed subextremal Reissner--Nordstr\"om--de Sitter backgrounds $({\mathcal…

General Relativity and Quantum Cosmology · Physics 2018-03-28 João L. Costa , Anne T. Franzen

Spacetime singularities, in the sense that curvature invariants are infinite at some point or region, are thought to be impossible to observe, and must be hidden within an event horizon. This conjecture is called Cosmic Censorship (CC), and…

General Relativity and Quantum Cosmology · Physics 2026-02-19 Leonel Bixano , I. A. Sarmiento-Alvarado , Tonatiuh Matos

I show that there is a significant lacuna in the proof of the theorem known as "Topological Censorship" (a theorem forbidding a solution of Einstein's equations to have some topological features, such as traversable wormholes, without…

General Relativity and Quantum Cosmology · Physics 2013-01-18 S. Krasnikov

We present a new approach to the issues of spacetime singularities and cosmic censorship in general relativity. This is based on the idea that standard 4-dimensional spacetime is the conformal infinity of an ambient metric for the…

High Energy Physics - Theory · Physics 2015-06-22 Ignatios Antoniadis , Spiros Cotsakis

A d-dimensional spacetime is "axisymmetric" if it possesses an SO(d-2) isometry group whose orbits are (d-3)-spheres. In this paper, algebraically special, axisymmetric solutions of the higher dimensional vacuum Einstein equation (with…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Mahdi Godazgar , Harvey S. Reall

In this paper we present well-posedness results of the wave equation in $H^{1}$ for spacetimes that contain string-like singularities. These results extend a framework able to characterise gravitational singularities as obstruction to the…

General Relativity and Quantum Cosmology · Physics 2016-10-05 Yafet Sanchez Sanchez , James A. Vickers