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We construct a new global, fully analytic, approximate spacetime which accurately describes the dynamics of non-precessing, spinning black hole binaries during the inspiral phase of the relativistic merger process. This approximate solution…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Brennan Ireland , Bruno C. Mundim , Hiroyuki Nakano , Manuela Campanelli

Black holes behave as thermodynamic objects, and it is natural to ask for an underlying "statistical mechanical" explanation in terms of microscopic degrees of freedom. I summarize attempts to describe these degrees of freedom in terms of a…

General Relativity and Quantum Cosmology · Physics 2015-06-05 S. Carlip

Recent results of arXiv:1907.08788 on universal black holes in $d$ dimensions are summarized. These are static metrics with an isotropy-irreducible homogeneous base space which can be consistently employed to construct solutions to…

General Relativity and Quantum Cosmology · Physics 2020-07-02 Sigbjørn Hervik , Marcello Ortaggio

Vacuum spherically symmetric loop quantum gravity in the midi-superspace approximation using inhomogeneous horizon-penetrating slices has been studied for a decade, and it has been noted that the singularity is eliminated. It is replaced by…

General Relativity and Quantum Cosmology · Physics 2024-02-20 Rodolfo Gambini , Javier Olmedo , Jorge Pullin

We consider the modified Einstein equations obtained in the framework of effective spherically symmetric polymer models inspired by Loop Quantum Gravity. When one takes into account the anomaly free point-wise holonomy quantum corrections,…

General Relativity and Quantum Cosmology · Physics 2019-02-01 Jibril Ben Achour , Frédéric Lamy , Hongguang Liu , Karim Noui

Initial data for numerical evolutions of binary-black holes have been dominated by "conformally flat" (CF) data (i.e., initial data where the conformal background metric is chosen to be flat) because they are easy to construct. However, CF…

General Relativity and Quantum Cosmology · Physics 2012-11-15 Bryant Garcia , Geoffrey Lovelace , Lawrence E. Kidder , Michael Boyle , Saul A. Teukolsky , Mark A. Scheel , Bela Szilagyi

We give a simple construction of smooth, asymptotically flat vacuum initial data modeling a relativistic collapsing $N$--body system, with independently prescribed ADM energy, linear momentum, and angular momentum for each component,…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Dawei Shen , Jingbo Wan

We compute the shadows of colliding black holes using the Kastor-Traschen cosmological multiblack hole solution that is an exact solution describing the collision of maximally charged black holes with a positive cosmological constant. We…

General Relativity and Quantum Cosmology · Physics 2011-10-20 Daisuke Nitta , Takeshi Chiba , Naoshi Sugiyama

Recently, a variational principle has been derived from Einstein-Hilbert and a matter Lagrangian for the spherically symmetric system of a dust shell and a black hole. The so-called physical region of the phase space, which contains all…

General Relativity and Quantum Cosmology · Physics 2015-06-25 P. Hajicek

We present a black hole effect by strategically leveraging a conformal mapping in elastic continuum with curved-space framework, which is less stringent compared to a Schwarzschild model transformed to isotropic refractive index profiles.…

Classical Physics · Physics 2022-11-15 Dongwoo Lee , Yiran Hao , Jeonghoon Park , Yaxi Shen , Jensen Li , Junsuk Rho

Conditions for smooth cosmological models are set out and applied to inhomogeneous spherically symmetric models constructed by matching together different Lemaitre-Tolman-Bondi solutions to the Einstein field equations. As an illustration…

General Relativity and Quantum Cosmology · Physics 2015-06-25 D. R. Matravers , N. P. Humphreys

We study static, spherically symmetric black hole solutions of the Einstein equations with a positive cosmological constant and a conformally coupled self interacting scalar field. Exact solutions for this model found by Mart{\'\i}nez,…

High Energy Physics - Theory · Physics 2008-11-26 Gustavo Dotti , Reinaldo J. Gleiser , Cristian Martinez

We apply the puncture approach to conformal thin-sandwich black-hole initial data. We solve numerically the conformal thin-sandwich puncture (CTSP) equations for a single black hole with non-zero linear momentum. We show that conformally…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Mark D. Hannam , Gregory B. Cook

A non-singular black hole solution is briefly presented which violates energy conditions only at its interior by postulating a consistent shift to negative energies and gravitationally repulsive negative masses at the event horizon. This…

General Physics · Physics 2024-09-24 Manuel Uruena Palomo

The vacuum, static, and spherically symmetric solutions in the mimetic Born-Infeld gravity are studied. The mimetic Born-Infeld gravity is a reformulation of the Eddington-inspired-Born-Infeld (EiBI) model under the mimetic approach. Due to…

General Relativity and Quantum Cosmology · Physics 2018-01-26 Che-Yu Chen , Mariam Bouhmadi-López , Pisin Chen

Cauchy-characteristic matching (CCM) is a numerical-relativity technique that solves Einstein's equations on an effectively infinite computational domain, thereby eliminating systematic errors associated with artificial boundary conditions.…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Sizheng Ma , Mark A. Scheel , Jordan Moxon , Kyle C. Nelli , Nils Deppe , Lawrence E. Kidder , William Throwe , Nils L. Vu

We revisit the dynamics of a black hole accreting energy from a surrounding homogeneous and infinite space. We argue for a simple heuristic modification of the Schwarzschild approximation when the density of the medium is not negligible…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Aurélien Barrau , Killian Martineau , Hanane Zelgoum

Exotic smooth manifolds, ${\bf R^2\times_\Theta S^2}$, are constructed and discussed as possible space-time models supporting the usual Kruskal presentation of the vacuum Schwarzschild metric locally, but {\em not globally}. While having…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Carl H. Brans

The Campanelli-Lousto solutions of Brans-Dicke theory, usually reported as black holes are reconsidered and shown to describe, according to the values of a parameter, wormholes or naked singularities. The veiled Schwarzschild metric…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Luciano Vanzo , Sergio Zerbini , Valerio Faraoni

We show that the Kantowski--Sachs model of a Schwarzschild black hole interior can be slightly generalized in order to accommodate spatial metrics of different orientations, and in this formulation the equations of motion admit a variable…

General Relativity and Quantum Cosmology · Physics 2022-08-17 Flavio Mercati , David Sloan