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We enumerate all possible types of spacetime causal structures that can appear in static, spherically symmetric configurations of a self-gravitating, real, nonlinear, minimally coupled scalar field \phi in general relativity, with an…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Kirill A. Bronnikov

We consider a prototypical "stretching plus bending" functional of an elastic shell. The shell is modeled as a d-dimensional Riemannian manifold endowed, in addition to the metric, with a reference second fundamental form. The shell is…

Differential Geometry · Mathematics 2022-06-07 Itai Alpern , Raz Kupferman , Cy Maor

We investigate relativistic spherically symmetric static perfect fluid models in the framework of the theory of dynamical systems. The field equations are recast into a regular dynamical system on a 3-dimensional compact state space,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. Mark Heinzle , N. Rohr , C. Uggla

We consider the autoparallel motion of test bodies in static, spherically symmetric spacetimes with torsion. We prove complete integrability of such motion for a wide range of off-shell geometries via four commuting autoparallel Killing…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Jens Boos

Spacetime wormholes in isotropic spacetimes are represented traditionally by embedding diagrams which were symmetric paraboloids. This mirror symmetry, however, can be broken by considering different sources on different sides of the…

General Relativity and Quantum Cosmology · Physics 2018-06-15 S. Danial Forghani , S. Habib Mazharimousavi , M. Halilsoy

We utilize a recent formulation of a spherically symmetric spacetime endowed with a general decomposition of the energy momentum tensor [Phys. Rev. D, 75, 024031 (2007)] to derive equations governing spherically symmetric distributions of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paul Lasky , Anthony Lun

We develop a bifurcation-theoretic description of Friedmann--Robertson--Walker cosmologies with a scalar field $\phi$, a barotropic fluid of index $\gamma$, and spatial curvature. For the strict exponential potential…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Spiros Cotsakis

We study collapse of evaporating spherically-symmetric thin dust shells and dust balls assuming that quantum effects are encapsulated in a spherically-symmetric metric that satisfied mild regularity conditions. The evaporation may…

General Relativity and Quantum Cosmology · Physics 2017-03-29 Valentina Baccetti , Robert B. Mann , Daniel R. Terno

We investigate spherically symmetric perfect-fluid spacetimes and discuss the existence and stability of a dividing shell separating expanding and collapsing regions. We perform a 3+1 splitting and obtain gauge invariant conditions relating…

General Relativity and Quantum Cosmology · Physics 2014-11-20 José Pedro Mimoso , Morgan Le Delliou , Filipe C. Mena

We perform a numerical free evolution of a selfgravitating, spherically symmetric scalar field satisfying the wave equation. The evolution equations can be written in a very simple form and are symmetric hyperbolic in Eddington-Finkelstein…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Mirta S. Iriondo , Oscar A. Reula

We propose an alternative description of the Schwarzschild black hole based on the requirement that the solution be static not only outside the horizon but also inside it. As a consequence of this assumption, we are led to a change of…

General Relativity and Quantum Cosmology · Physics 2018-09-13 L. Herrera , L. Witten

A Hamiltonian treatment of the gravitational collapse of thin shells is presented. The direct integration of the canonical constraints reproduces the standard shell dynamics for a number of known cases. The formalism is applied in detail to…

High Energy Physics - Theory · Physics 2009-11-10 Juan Crisostomo , Rodrigo Olea

Black hole perturbation theory on spherically symmetric backgrounds has been instrumental in establishing various aspects about the gravitational dynamics close to black holes, and continues to be an interesting avenue to confront current…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Gowtham Rishi Mukkamala , David Pereñiguez

A phase of massive gravity free from pathologies can be obtained by coupling the metric to an additional spin-two field. We study the gravitational field produced by a static spherically symmetric body, by finding the exact solution that…

High Energy Physics - Theory · Physics 2009-12-15 Z. Berezhiani , D. Comelli , F. Nesti , L. Pilo

This article presents a new model-independent constraint for bouncing black hole geometries. Using the thin shell formalism, this constraint sets a bound on the minimal allowed radius of the time-like surface of the collapsing star at the…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Jibril Ben Achour , Suddhasattwa Brahma , Shinji Mukohyama , Jean-Philippe Uzan

We study some properties of static spherically symmetric elastic bodies in general relativity using both analytical and numerical tools. The materials considered belong to the class of John elastic materials and reduce to perfect fluids…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Håkan Andréasson , Simone Calogero

We show that in four or more spacetime dimensions, the Einstein equations for gravitational perturbations of maximally symmetric vacuum black holes can be reduced to a single 2nd-order wave equation in a two-dimensional static spacetime for…

High Energy Physics - Theory · Physics 2009-11-10 Hideo Kodama , Akihiro Ishibashi

Black bounce spacetimes usually arise from the Simpson-Visser regularization method. This type of metric presents a wormhole throat inside an event horizon. In this paper, we presented new classes of black bounce spacetime solutions, which…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Manuel E. Rodrigues , Marcos V. de S. Silva

Recently it has been argued that the phantom thin-shell wormholes matched with the Schwarzschild space-time near the Schwarzschild radius ring like Schwarzschild black holes at early times, but differently at late times (arXiv:1602.07309).…

General Relativity and Quantum Cosmology · Physics 2016-12-30 R. A. Konoplya , A. Zhidenko

A point-like object moving in a background black hole spacetime experiences a gravitational self-force which can be expressed as a local function of the object's instantaneous position and velocity, to linear order in the mass ratio. We…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Justin Vines , Éanna É. Flanagan