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Using a constrained formalism for Einstein equations in Dirac gauge, we propose to compute excised quasistationary initial data for black hole spacetimes in full general relativity. Vacuum spacetime settings are numerically constructed by…

General Relativity and Quantum Cosmology · Physics 2019-04-03 Nicolas Vasset , Jérôme Novak , José Luis Jaramillo

We construct the spacetime in the vicinity of a general isolated, rotating, charged black hole. The black hole is modeled as a weakly isolated horizon, and we use the characteristic initial value formulation of the Einstein equations with…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Badri Krishnan

We discuss a solution of the Einstein equations, obtained by gluing the external Kerr metric and the internal Weyl metric, describing an axisymmetric static vacuum distorted black hole. These metrics are glued at the null surfaces…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Valeri P. Frolov , Andrei V. Frolov

Creating virtual models of real spaces and objects is cumbersome and time consuming. This paper focuses on the problem of geometric reconstruction from sparse data obtained from certain image-based modeling approaches. A number of elegant…

Computational Geometry · Computer Science 2010-03-19 Eleanor G. Rieffel , Don Kimber , Jim Vaughan

We find an exact, rotating charged black hole solution within Eddington-inspired Born-Infeld gravity. To this end we employ a recently developed correspondence or {\it mapping} between modified gravity models built as scalars out of…

General Relativity and Quantum Cosmology · Physics 2021-02-02 Merce Guerrero , Gerardo Mora-Pérez , Gonzalo J. Olmo , Emanuele Orazi , Diego Rubiera-Garcia

We construct a family of non-supersymmetric extremal black holes and their horizonless microstate geometries in four dimensions. The black holes can have finite angular momentum and an arbitrary charge-to-mass ratio, unlike their…

High Energy Physics - Theory · Physics 2021-10-20 Ibrahima Bah , Iosif Bena , Pierre Heidmann , Yixuan Li , Daniel R. Mayerson

In this article, we provide a boundary reconstruction result for the anisotropic fractional Calder\'on problem and its associated degenerate elliptic extension into the upper half plane. More precisely, considering the setting from…

Analysis of PDEs · Mathematics 2025-02-19 Xiaopeng Cheng , Angkana Rüland

We investigate the holographic renormalization of scalar-torsion gravity in a four-dimensional bulk spacetime with non-minimal derivative coupling. The asymptotic behavior of the static equations leads to an anti-de Sitter geometry for…

High Energy Physics - Theory · Physics 2025-05-29 Mulyanto , Hadyan Luthfan Prihadi , Emir Syahreza Fadhilla , Ardian Nata Atmaja

In this work, we study the inverse problem of analog gravity systems which admit rotation and energy-dependent boundary conditions. By extending two recent results, we provide a recipe that allows one to relate resonant transmission spectra…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Saulo Albuquerque , Sebastian H. Völkel , Kostas D. Kokkotas , Valdir B. Bezerra

Self-force methods can be applied in calculations of the scatter angle in two-body hyperbolic encounters, working order by order in the mass ratio (assumed small) but with no recourse to a weak-field approximation. This, in turn, can inform…

General Relativity and Quantum Cosmology · Physics 2022-02-22 Oliver Long , Leor Barack

Using the general recipe given in arXiv:0804.0009, where all timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to abelian vector multiplets were classified, we construct genuine rotating supersymmetric black holes in…

High Energy Physics - Theory · Physics 2011-07-13 Dietmar Klemm

We provide a first derivation of the Bekenstein-Hawking entropy of 3d flat cosmological horizons in terms of the counting of states in a dual field theory. These horizons appear in the shifted-boost orbifold of R^{1,2}, the flat limit of…

High Energy Physics - Theory · Physics 2013-06-11 Arjun Bagchi , Stephane Detournay , Reza Fareghbal , Joan Simon

We study the dynamics of a pair of extremal (half-BPS) black holes in $\mathcal{N}=8$ supergravity, as a potentially solvable model of gravitational dynamics. As a diagnosis of hidden symmetries, we ask whether the perihelion of the orbits…

High Energy Physics - Theory · Physics 2019-09-04 Simon Caron-Huot , Zahra Zahraee

A detailed account is given on approximation schemes to the Einstein theory of general relativity where the iteration starts from the Newton theory of gravity. Two different coordinate conditions are used to represent the Einstein field…

General Relativity and Quantum Cosmology · Physics 2024-05-19 Gerhard Schäfer

We present a semi-analytical binary black hole (BBH) metric approximation that models the entire evolution of the system from inspiral to merger. The metric is constructed as a boosted Kerr-Schild superposition following post-Newtonian (PN)…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Luciano Combi , Sean M. Ressler

Complete sequences of new analytic solutions of Einstein's equations which describe thin super massive disks are constructed. These solutions are derived geometrically. The identification of points across two symmetrical cuts through a…

Astrophysics · Physics 2015-06-24 C. Pichon , D. Lynden-Bell

In a companion paper [1], we have presented a cross-correlation approach to near-horizon physics in which bulk dynamics is probed through the correlation of quantities defined at inner and outer spacetime hypersurfaces acting as test…

General Relativity and Quantum Cosmology · Physics 2012-05-08 José Luis Jaramillo , Rodrigo P. Macedo , Philipp Moesta , Luciano Rezzolla

Creating geometric abstracted models from image-based scene reconstructions is difficult due to noise and irregularities in the reconstructed model. In this paper, we present a geometric modeling method for noisy reconstructions dominated…

Computer Vision and Pattern Recognition · Computer Science 2014-04-22 Thomas Holzmann , Christof Hoppe , Stefan Kluckner , Horst Bischof

In the context of an extended General Relativity theory with boundary terms included, we introduce a new nonlinear quantum algebra involving a quantum differential operator, with the aim to calculate quantum geometric alterations when a…

General Relativity and Quantum Cosmology · Physics 2024-07-08 Mauricio Bellini , Juan Ignacio Musmarra , Daniela Magos

In this study, beginning with the 4D asymptotically flat Kerr black hole solution in the Boyer-Lindquist (BL) coordinate system, then by using the technique of frame-dragging and some coordinate transformation to incorporate the…

High Energy Physics - Theory · Physics 2023-09-22 Shingo Takeuchi
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