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We introduce a new method for numerically evolving the full Einstein field equations in situations where the spacetime is dominated by a known background solution. The technique leverages the knowledge of the background solution to subtract…

General Relativity and Quantum Cosmology · Physics 2013-05-20 William E. East , Frans Pretorius

We present a new approach to the problem of binary black holes in the pre-coalescence stage, i.e. when the notion of orbit has still some meaning. Contrary to previous numerical treatments which are based on the initial value formulation of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 E. Gourgoulhon , P. Grandclement , S. Bonazzola

The conformal method for constructing initial data for Einstein's equations is presented in both the Hamiltonian and Lagrangian picture (extrinsic curvature decomposition and conformal thin sandwich formalism, respectively), and advantages…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Harald P. Pfeiffer

In this paper we explore the idea that black holes can persist in a universe that collapses to a big crunch and then bounces into a new phase of expansion. We use a scalar field to model the matter content of such a universe {near the time}…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Timothy Clifton , Bernard Carr , Alan Coley

We study black hole solutions in general relativity coupled to a unit timelike vector field dubbed the "aether". To be causally isolated a black hole interior must trap matter fields as well as all aether and metric modes. The theory…

General Relativity and Quantum Cosmology · Physics 2010-03-30 Christopher Eling , Ted Jacobson

In this Chapter we would like to review a "~phenomenological~" approach taking into account the most fundamental feature of string theory or, more in general, of quantum gravity, whatever its origin, which is the existence of a minimal…

General Relativity and Quantum Cosmology · Physics 2017-05-26 Euro Spallucci , Anais Smailagic

The gravitational field of a black hole is strongly localized near its horizon when the number of dimensions D is very large. In this limit, we can effectively replace the black hole with a surface in a background geometry (eg Minkowski or…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Tetsuya Shiromizu , Ryotaku Suzuki , Kentaro Tanabe , Takahiro Tanaka

In this article, we consider spherical thin shells of matter surrounding black holes in F(R) theories of gravity. We study the stability of the static configurations under perturbations that conserve the symmetry. In particular, we analyze…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Ernesto F. Eiroa , Griselda Figueroa-Aguirre

Black holes are thought to describe the geometry of massive, dark compact objects in the universe. To further support and quantify this long-held belief requires knowledge of possible, if exotic alternatives. Here, we wish to understand how…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Vitor Cardoso , Caio F. B. Macedo , Kei-ichi Maeda , Hirotada Okawa

It is known how to choose initial data for Einstein's equations describing an arbitrary number of black holes at a moment of time symmetry. This idea has been used to give insight into the cosmological averaging problem. We study the local…

General Relativity and Quantum Cosmology · Physics 2018-07-11 Ingemar Bengtsson , Irina Galstyan

The first-order semiclassical Einstein field equations are solved in the interior of the Schwarzschild-Tangherlini black holes. The source term is taken to be the stress-energy tensor of the quantized massive scalar field with arbitrary…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Jerzy Matyjasek , Pawel Sadurski

My research work can be classified into two parts namely, (i) Cosmological phenomena with varying speed of light and (ii) Gravitational collapse and black holes. We have investigated several cosmological phenomena when velocity of light…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ujjal Debnath

We continue a study by Adler and Ramazano\uglu (AR) of "black" holes as modified by a scale invariant dark energy action. For the spherically symmetric Schwarzschild-like case, (AR) found that there is no event horizon; hence spacetime is…

General Relativity and Quantum Cosmology · Physics 2022-09-07 Stephen L. Adler

We explore black hole solutions and some of its physical properties in Einstein's theory in 4D, modified by a cubic gravity term and in the presence of non-linear electrodynamics. In the context of Effective Field Theories (EFT) and under…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Gustavo Gutierrez-Cano , Gustavo Niz

We study the threshold of gravitational collapse in spherically symmetric spacetimes governed by the Einstein-Maxwell-Vlasov equations. We numerically construct solutions describing a collapsing distribution of charged matter that either…

General Relativity and Quantum Cosmology · Physics 2026-04-14 William E. East

We study the effective theory of slowly rotating black holes at the infinite limit of the spacetime dimension D. This large D effective theory is obtained by integrating the Einstein equation with respect to the radial direction. The…

High Energy Physics - Theory · Physics 2016-03-23 Kentaro Tanabe

Entangled Relativity is a non-linear reformulation of Einstein's General Theory of Relativity (General Relativity) that offers a more parsimonious formulation. This non-linear approach notably requires the simultaneous definition of matter…

General Relativity and Quantum Cosmology · Physics 2025-02-06 Maxime Wavasseur , Theo Abrial , Olivier Minazzoli

We investigate the black holes properties with a very simple and semi-classical model of spacetime discretization. In this context, we apply the Heisenberg's uncertainty principle and the equipartition energy theorem to thereto, obtaining…

High Energy Physics - Theory · Physics 2017-04-03 Daniele Pigato

We analyse the physics of nonlinear gravitational processes inside a spherical charged black hole perturbed by a self-gravitating massless scalar field. For this purpose we created an appropriate numerical code. Throughout the paper, in…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jakob Hansen , Alexei Khokhlov , Igor Novikov

Constraints on the geometry of a static spherically symmetric black hole are obtained by requiring the spacetime curvature to be analytic at the event horizon. For a zero temperature black hole further constraints are obtained by also…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Paul R. Anderson , Courtney D. Mull