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Einstein's equations are known to lead to the formation of black holes and spacetime singularities. This appears to be a manifestation of the mathematical phenomenon of finite-time blowup: a formation of singularities from regular initial…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Amos Ori , Dan Gorbonos

The Riemann, Ricci and Einstein tensors for N-dimensional spherically symmetric spacetimes in various systems of coordinates are studied, and the general metric for conformally flat spacetimes is given. As an application, all the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jaime F. Villas da Rocha , Anzhong Wang

The study of hyperbolic binary black hole encounters yields an effective probe of the strong field regime of black holes, thus providing an additional channel to test General Relativity. We study the scattering of two black holes in…

General Relativity and Quantum Cosmology · Physics 2026-05-07 Shaun Swain , Tamanna Jain , Llibert Aresté Saló

We survey results about exact cylindrically symmetric models of gravitational collapse in General Relativity. We focus on models which result from the matching of two spacetimes having collapsing interiors which develop trapped surfaces and…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Filipe C. Mena

We perform a numerical study of black hole formation from the spherically symmetric collapse of a massless scalar field. The calculations are done in Painlev\'e-Gullstrand (PG) coordinates that extend across apparent horizons and allow the…

General Relativity and Quantum Cosmology · Physics 2009-07-30 J. Ziprick , G. Kunstatter

We present a new numerical code designed to solve the Einstein field equations for axisymmetric spacetimes. The long term goal of this project is to construct a code that will be capable of studying many problems of interest in axisymmetry,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. W. Choptuik , E. W. Hirschmann , S. L. Liebling , F. Pretorius

In these lecture notes we discuss recently conjectured instability of anti-de Sitter space, resulting in gravitational collapse of a large class of arbitrarily small initial perturbations. We uncover the technical details used in the…

General Relativity and Quantum Cosmology · Physics 2013-09-24 Maciej Maliborski , Andrzej Rostworowski

We present a model for studying the formation and evaporation of non-singular (quantum corrected) black holes. The model is based on a generalized form of the dimensionally reduced, spherically symmetric Einstein--Hilbert action and…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Tim Taves , Gabor Kunstatter

In this paper, we systematically study spherically symmetric static spacetimes in the framework of Einstein-aether theory, and pay particular attention to the existence of black holes (BHs). In the present studies we first clarify several…

General Relativity and Quantum Cosmology · Physics 2020-09-18 Chao Zhang , Xiang Zhao , Kai Lin , Shaojun Zhang , Wen Zhao , Anzhong Wang

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

A class of exact regular spherically symmetric solutions to the Einstein equation obeying Dymnikova's definition of the vacuumlike state is considered. These solutions, which may be interpreted as black holes, are not only singularity free,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Erast B. Gliner

According to general relativity, black holes are incomplete, which prevents developing a complete physical description of their dynamical formation and evolution once quantum effects are taken into account. Theories beyond general…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Raúl Carballo-Rubio

We present the first numerical simulations in null coordinates of the collapse of nonspherical regular initial data to a black hole. We restrict to twist-free axisymmetry, and re-investigate the critical collapse of a non-spherical massless…

General Relativity and Quantum Cosmology · Physics 2024-07-11 Carsten Gundlach , Thomas W. Baumgarte , David Hilditch

In the framework of the Einstein-aether theory we consider a cosmological model, which describes the evolution of the unit dynamic vector field with activated rotational degree of freedom. We discuss exact solutions of the Einstein-aether…

General Relativity and Quantum Cosmology · Physics 2017-04-25 Alexander Balakin , Vladimir Popov

The static black hole solutions to the Einstein-Maxwell equations are all spherically symmetric, as are many of the recently discovered black hole solutions in theories of gravity coupled to other forms of matter. However, counterexamples…

General Relativity and Quantum Cosmology · Physics 2010-11-19 S. Alexander Ridgway , Erick J. Weinberg

Fundamental fields are a natural outcome in cosmology and particle physics and might therefore serve as a proxy for more complex interactions. The equivalence principle implies that all forms of matter gravitate, and one therefore expects…

General Relativity and Quantum Cosmology · Physics 2014-05-28 Hirotada Okawa , Helvi Witek , Vitor Cardoso

The double copy of the Coulomb solution in three dimensions is a non-vacuum solution that can be obtained through different matter couplings. It is the static black hole solution of Einstein-Maxwell theory or general relativity minimally…

High Energy Physics - Theory · Physics 2022-08-17 Gokhan Alkac , Mehmet Kemal Gumus , Mehmet Ali Olpak

In this paper, we consider the problems of spherical gravitational collapse and accretion using a spherically symmetric, spatially homothetic spacetime, that is, as an exact solution (cqg1) of the field equations of general relativity.…

Astrophysics · Physics 2007-05-23 Sanjay M Wagh

We study the gravitational field equations in the presence of a coupling between the derivative of a massless scalar field and the Einstein tensor. This configuration is motivated by Galileon gravity as it preserves shift invariance in the…

General Relativity and Quantum Cosmology · Physics 2012-11-07 Massimiliano Rinaldi

We present black hole type solutions in the scalar-tensor theory with nonminimal derivative coupling to the Einstein tensor. The effects of the nonminimal derivative coupling appear in the large scales, while the solutions approach those in…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Masato Minamitsuji
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