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We define a new gauge independent quasi-local mass and energy, and show its relation to the Brown-York Hamilton-Jacobi analysis. A quasi-local proof of the positivity, based on spacetime harmonic functions, is given for admissible closed…

Differential Geometry · Mathematics 2023-09-07 Aghil Alaee , Marcus Khuri , Shing-Tung Yau

Recent breakthroughs in the field of numerical relativity have led to dramatic progress in understanding the predictions of General Relativity for the dynamical interactions of two black holes in the regime of very strong gravitational…

General Relativity and Quantum Cosmology · Physics 2011-02-18 Joan M. Centrella , John G. Baker , Bernard J. Kelly , James R. van Meter

An explicit example is found showing how a modified theory of gravity can be constrained with the ringdown signals from merger of binary black holes. This has been made possible by the fact that the modified gravitational theory considered…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Jiahui Bao , Changfu Shi , Haitian Wang , Jian-dong Zhang , Yiming Hu , Jianwei Mei , Jun Luo

In this letter, we provide a novel test of general relativity based on ringdown analysis. The test is performed on agnostic models, where the postmerger signal is fitted with a superposition of damped sinusoids. If at least two modes are…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Nicola Franchini

A novel procedure is presented which allows the construction of all axial vector fields on Riemannian two-spheres. Using these axial vector fields and the centre-of-mass unit sphere reference systems, a constructive definition of…

General Relativity and Quantum Cosmology · Physics 2025-09-19 István Rácz

We define the angular momentum at null infinity in higher dimensions. The asymptotic symmetry at null infinity becomes the Poincare group in higher dimensions. This fact implies that the angular momentum can be defined without any…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Kentaro Tanabe , Tetsuya Shiromizu , Shunichiro Kinoshita

We show how to reduce the general formulation of the mass-angular momentum-charge inequality, for axisymmetric initial data of the Einstein-Maxwell equations, to the known maximal case whenever a geometrically motivated system of equations…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Ye Sle Cha , Marcus A. Khuri

The first objective of this work is to obtain practical prescriptions to calculate the absorption of mass and angular momentum by a black hole when external processes produce gravitational radiation. These prescriptions are formulated in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Eric Poisson

Angular momentum and mass-charge inequalities for axisymmetric maximal time-symmetric initial data in Einstein-Maxwell gravity with dark matter sector were derived. The dark matter sector is mimicked by another U(1)-gauge field coupled to…

High Energy Physics - Theory · Physics 2017-02-21 Marek Rogatko

In this paper, we provide a simple and modern discussion of rotational superradiance based on quantum field theory. We work with an effective theory valid at scales much larger than the size of the spinning object responsible for…

High Energy Physics - Theory · Physics 2017-06-07 Solomon Endlich , Riccardo Penco

M.V. Berry's work [J. Phys. A: Math. Theor. 43, 415302 (2010)] highlighted the correspondence between backflow in quantum mechanics and superoscillations in waves. Superoscillations refer to situations where the local oscillation of a…

Discovery of gravitational waves by LIGO team (Abbott et al. 2016) bring a new era for observation of black hole systems. These new observations will improve our knowledge on black holes and gravitational physics. In this study, we present…

Solar and Stellar Astrophysics · Physics 2016-03-15 D. Koçak , K. Yakut

The Hamiltonian formulation of the teleparallel equivalent of general relativity without gauge fixing has recently been established in terms of the Hamiltonian constraint and a set of six primary constraints. Altogether, they constitute a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. Maluf , J. F. da Rocha-Neto , T. M. Toribio , K. H. Castello-Branco

Black hole spectroscopy is an important pillar when studying gravitational waves from black holes and enables tests of general relativity. Most of the gravitational-wave signals observed over the last decade originate from binary black hole…

General Relativity and Quantum Cosmology · Physics 2026-01-09 Oliver Steppohn , Sebastian H. Völkel , Tim Dietrich

This is the second in a series of two papers to establish the conjectured mass-angular momentum inequality for multiple black holes, modulo the extreme black hole 'no hair theorem'. More precisely it is shown that either there is a…

Differential Geometry · Mathematics 2025-01-28 Qing Han , Marcus Khuri , Gilbert Weinstein , Jingang Xiong

It is assumed that an arbitrary composite bipartite pure state in which the two subsystems are entangled is given, and it is investigated how the entanglement transmits the influence of measurement on only one of the subsystems to the state…

Quantum Physics · Physics 2013-02-12 Fedor Herbut

Extracting quasinormal modes from compact binary mergers to perform black hole spectroscopy is one of the fundamental pillars in current and future strong-gravity tests. Among the most remarkable findings of recent works is that including a…

General Relativity and Quantum Cosmology · Physics 2023-09-19 Peter James Nee , Sebastian H. Völkel , Harald P. Pfeiffer

Geometrical inequalities show how certain parameters of a physical system set restrictions on other parameters. For instance, a black hole of given mass can not rotate too fast, or an ordinary object of given size can not have too much…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Sergio Dain , María Eugenia Gabach-Clement

Analog gravity models of black holes and exotic compact objects provide a unique opportunity to study key properties of such systems in controlled laboratory environments. In contrast to astrophysical systems, analog gravity systems can be…

General Relativity and Quantum Cosmology · Physics 2024-02-12 Saulo Albuquerque , Sebastian H. Völkel , Kostas D. Kokkotas , Valdir B. Bezerra

We construct the covariantly defined multipole moments on the common horizon of an equal-mass, non-spinning, quasicircular binary-black-hole system. We see a strong correlation between these multipole moments and the gravitational waveform.…