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Numerical simulations of binary black holes are accompanied by an initial spurious burst of gravitational radiation (called `junk radiation') caused by a failure of the initial data to describe a snapshot of an inspiral that started at an…

General Relativity and Quantum Cosmology · Physics 2021-04-21 Sizheng Ma , Matthew Giesler , Mark Scheel , Vijay Varma

We propose an effective model for an exponentially expanding universe in the brane-world scenario. The setup consists of a 5D black hole and a brane close to the black hole horizon. In case the brane acquires a specific configuration, which…

High Energy Physics - Theory · Physics 2022-11-24 Ida M. Rasulian

When numerically solving Einstein's equations for binary black holes (BBH), we must find initial data on a three-dimensional spatial slice by solving constraint equations. The construction of initial data is a multi-step process, in which…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Iago B. Mendes , Nils L. Vu , Oliver Long , Harald P. Pfeiffer , Robert Owen

We study exact stationary and axisymmetric solutions describing charged rotating black holes localized on a 3-brane in the Randall-Sundrum braneworld. The charges of the black holes are considered to be of two types, the first being an…

High Energy Physics - Theory · Physics 2009-11-11 A. N. Aliev , A. E. Gumrukcuoglu

We demonstrate that discrete self-similarity (DSS), originally discovered in the collapse of a massless scalar field in an asymptotically flat system, survives in primordial black hole (PBH) formation within an expanding cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-29 Luis E. Padilla , Tomohiro Harada , Ethan Milligan , David Mulryne

We implement a Markov Chain Monte Carlo method to obtain posterior probability distributions for the parameters of the S2 star orbit around Sagittarius A*, for seven representative non-rotating black hole space-time solutions. In…

High Energy Astrophysical Phenomena · Physics 2026-02-10 César Navarrete , Fernando Vázquez-Chávez , Alejandro Cruz-Osorio , Néstor Ortiz

It is known that the Einstein field equations in five dimensions admit more general spherically symmetric black holes on the brane than four-dimensional general relativity. We propose two families of analytic solutions (with…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Roberto Casadio , Alessandro Fabbri , Lorenzo Mazzacurati

We present a new numerical scheme to solve the initial value problem for black hole-neutron star binaries. This method takes advantage of the flexibility and fast convergence of a multidomain spectral representation of the initial data to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Francois Foucart , Lawrence E. Kidder , Harald P. Pfeiffer , Saul A. Teukolsky

Stationary, D-dimensional test branes, interacting with N-dimensional Myers-Perry bulk black holes, are investigated in arbitrary brane and bulk dimensions. The branes are asymptotically flat and axisymmetric around the rotation axis of the…

General Relativity and Quantum Cosmology · Physics 2013-12-12 Viktor G. Czinner

We compare the results of constructing binary black hole initial data with three different decompositions of the constraint equations of general relativity. For each decomposition we compute the initial data using a superposition of two…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Harald P. Pfeiffer , Gregory B. Cook , Saul A. Teukolsky

We analyze in detail the geometry and dynamics of the cosmological region arising in spherically symmetric black hole solutions of the Einstein-Maxwell-scalar field system with a positive cosmological constant. More precisely, we solve, for…

General Relativity and Quantum Cosmology · Physics 2019-09-05 João L. Costa , José Natário , Pedro Oliveira

Regular Schwarzschild Anti-de-Sitter (RSch-AdS) spacetime, which is a maximally symmetric and Lorentzian manifold of negative curvature, is a solution of Einstein's field equations with a negative cosmological constant and a matter source…

General Relativity and Quantum Cosmology · Physics 2024-10-21 A. Mahmoodzadeh , B. Malakolkalami , K. Ghaderi

In the present paper, we give some theorems representing ridigity of a vacuum brane in static bulk spacetimes. As an application, we show that a static bulk spacetime with dimension D>3 and spatial symmetry IO(D-2), O(D-1) or O_+(D-2,1)…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hideo Kodama

Using a novel numerical spectral method, we have found solutions for large static Randall-Sundrum II (RSII) black holes by perturbing a numerical AdS_5-CFT_4 solution to the Einstein equation with a negative cosmological constant Lambda…

High Energy Physics - Theory · Physics 2013-11-20 Shohreh Abdolrahimi , Céline Cattoën , Don N. Page , Shima Yaghoobpour-Tari

We perform $3+1$ relativistic numerical simulations to study primordial black hole (PBH) formation from the collapse of adiabatic super-horizon non-spherical perturbations generated from curvature fluctuations obeying random Gaussian…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Albert Escrivà , Chul-Moon Yoo

For an arbitrary strong, spherically symmetric super-horizon curvature perturbation, we present analytical solutions of the Einstein equations in terms of asymptotic expansion over the ratio of the Hubble radius to the length-scale of the…

General Relativity and Quantum Cosmology · Physics 2012-10-09 A. G. Polnarev , Tomohiro Nakama , Jun'ichi Yokoyama

We construct asymptotically flat, spinning, regular on and outside an event horizon, scalarised black holes (SBHs) in extended scalar-tensor-Gauss-Bonnet models. They reduce to Kerr BHs when the scalar field vanishes. For an illustrative…

General Relativity and Quantum Cosmology · Physics 2019-07-10 Pedro V. P. Cunha , Carlos A. R. Herdeiro , Eugen Radu

In a previous paper we determined the near horizon limit of an extremal brane world black hole, charged with respect to a Maxwell field on the brane, in the single brane Randall-Sundrum model. This paper is largely an extension of that…

High Energy Physics - Theory · Physics 2011-05-25 Alexander Kaus

We combine notions of a maximal curvature scale in nature with that of a minimal curvature scale to construct a non-singular Schwarzschild-de Sitter black hole. We present an exact solution within the context of two-dimensional dilaton…

High Energy Physics - Theory · Physics 2018-11-13 Damien A. Easson

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