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Recent numerical simulations have found that the Cauchy horizon inside spherical charged black holes, when perturbed nonlinearly by a self-gravitating, minimally-coupled, massless, spherically-symmetric scalar field, turns into a null weak…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lior M. Burko

In this paper, we look for the vacuum static spherically symmetric solution in the mimetic gravity scenario based on the conformal invariance principle. The trivial solution is a stealth Schwarzschild black hole with scalar hair where the…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Mohammad Ali Gorji , Alireza Allahyari , Mohsen Khodadi , Hassan Firouzjahi

The known canonical quantum theory of a spherically symmetric pure (Schwarzschild) gravitational system describes isolated black holes by plane waves exp(-iMc^2\tau/\hbar) with respect to their continuous masses M and the proper time \tau…

General Relativity and Quantum Cosmology · Physics 2010-11-19 H. A. Kastrup

In order to study the gravitational collapse of charged matter we analyze the simple model of an self-gravitating massless scalar field coupled to the electromagnetic field in spherical symmetry. The evolution equations for the…

General Relativity and Quantum Cosmology · Physics 2014-11-07 Jose M. Torres , Miguel Alcubierre

We study the linearised stability of the nakedly singular negative mass Schwarzschild solution against gravitational perturbations. There is a one parameter family of possible boundary conditions at the singularity. We give a precise…

High Energy Physics - Theory · Physics 2009-10-07 Gary W. Gibbons , Sean A. Hartnoll , Akihiro Ishibashi

The celebrated geodesic congruence equation of Raychaudhuri, together with the resulting singularity theorems of Penrose and Hawking that it enabled, yield a highly general set of conditions under which a spacetime (or, more generically, a…

General Relativity and Quantum Cosmology · Physics 2023-03-14 Jonathan Gorard

In the present paper we study the geodesic structure of the Janis-Newman-Winicour(JNW) space-time which contains a strong curvature naked singularity. This metric is an extension of the Schwarzschild geometry when a massless scalar field is…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Sheng Zhou , Ruanjing Zhang , Juhua Chen , Yongjiu Wang

The Newman-Janis (NJ) algorithm has been extensively used in the literature to generate rotating black hole solutions from nonrotating seed spacetimes. In this work, we show, using various constants of motion, that the null geodesic…

General Relativity and Quantum Cosmology · Physics 2019-07-18 Rajibul Shaikh

We explicitly prove that the Weyl conformal symmetry solves the black hole singularity problem, otherwise unavoidable in a generally covariant local or non-local gravitational theory. Moreover, we yield explicit examples of local and…

General Relativity and Quantum Cosmology · Physics 2017-05-04 Cosimo Bambi , Leonardo Modesto , Leslaw Rachwal

The smooth gravitational singularities of the differential spacetime manifold based General Relativity (GR) are viewed from the perspective of the background manifold independent and, in extenso, Calculus-free Abstract Differential Geometry…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Anastasios Mallios , Ioannis Raptis

The n-time generalization of the Tangherlini solution [1] is considered. The equations of geodesics for the metric are integrated. For $n = 2$ it is shown that the naked singularity is absent only for two sets of parameters, corresponding…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Vladimir D. Ivashchuk , Vitaly N. Melnikov

In this paper, we investigate the dynamic phenomenological signatures of a Schwarzschild-MOG black hole shadow perturbed by passing gravitational waves. By perturbing the Hamilton-Jacobi equation for photon null geodesics, we demonstrate…

General Relativity and Quantum Cosmology · Physics 2026-03-04 Nikko John Leo S. Lobos , Emmanuel T. Rodulfo

A modified Reissner-Nordstr\"om spacetime is considered here, where the central object (for example, a black hole or naked singularity) possesses a mass, with an ordinary, i.e., Standard Model (SM) electric charge, along with a dark…

General Relativity and Quantum Cosmology · Physics 2023-11-21 J. R. Morris

At the threshold of black hole formation in the gravitational collapse of a scalar field a naked singularity is formed through a universal critical solution that is discretely self-similar. We study the global spacetime structure of this…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jose M. Martin-Garcia , Carsten Gundlach

Spherical dust collapse generally forms a shell focusing naked singularity at the symmetric center. This naked singularity is massless. Further the Newtonian gravitational potential and speed of the dust fluid elements are everywhere much…

General Relativity and Quantum Cosmology · Physics 2009-10-31 K. Nakao , H. Iguchi , T. Harada

Adopting Schwarzschild's orbit-superposition technique, we construct a series of self-consistent galaxy models, embedded in the external field of galaxy clusters in the framework of Milgrom's MOdified Newtonian Dynamics. These models…

Astrophysics of Galaxies · Physics 2017-08-09 Xufen Wu , Yougang Wang , Martin Feix , HongSheng Zhao

In general relativity, the Einstein equations provide spherically symmetric static spacetimes with dynamics defined as an evolution along the radial coordinate $r$. The geometrical sector becomes a one-dimensional mechanical system, with…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Etera R. Livine , Yuki Yokokura

The gravitational collapse of a wide class of self-interacting homogeneous scalar fields models is analyzed. The class is characterized by certain general conditions on the scalar field potential, which, in particular, include both…

General Relativity and Quantum Cosmology · Physics 2010-03-24 R. Giambó , F. Giannoni , G. Magli

We examine whether the Schwarzschild black hole can emerge as the continuous end state of gravitational collapse from a non-singular configuration. Employing a time dependent extension of the regular Schwarzschild metric, we track the…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Jorge Ovalle , Roberto Casadio , Alexander Kamenshchik

The problem of constructing naked singularities in general relativity can be naturally divided into two parts: (i) the construction of the region exterior to the past light cone of the singularity, extending all the way to (an incomplete)…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Serban Cicortas , Christoph Kehle
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