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This is the third paper in a series of papers adressing the characteristic gluing problem for the Einstein vacuum equations. We provide full details of our characteristic gluing (including the $10$ charges) of strongly asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Stefanos Aretakis , Stefan Czimek , Igor Rodnianski

Asymptotically flat black holes in $2+1$ dimensions are a rarity. We study the recently found black flower solutions (asymptotically flat black holes with deformed horizons), static black holes, rotating black holes and the dynamical black…

High Energy Physics - Theory · Physics 2016-04-06 Gokhan Alkac , Ercan Kilicarslan , Bayram Tekin

One major systematic uncertainty of lattice QCD results is due to the continuum extrapolation. For an asymptotically free theory like QCD one finds corrections of the form $a^{n_\mathrm{min}}[2b_0\bar{g}^2(1/a)]^{\hat{\Gamma}_i}$ with…

High Energy Physics - Lattice · Physics 2022-12-20 Nikolai Husung

It is highly plausible that the region of space-time far from an isolated gravitating body is, in some sense, asymptotically Minkowskian. However theoretical studies of the full nonlinear theory, initiated by Bondi et al. (1962), Sachs…

General Relativity and Quantum Cosmology · Physics 2009-09-30 E. Deadman , J. M. Stewart

The exact computation of asymptotic quasinormal frequencies is a technical problem which involves the analytic continuation of a Schrodinger-like equation to the complex plane and then performing a method of monodromy matching at the…

High Energy Physics - Theory · Physics 2015-06-26 Vitor Cardoso , Jose Natario , Ricardo Schiappa

In this work we analyze the asymptotic symmetries of the three-dimensional Chern-Simons (CS) gravity theory for a higher spin extension of the so-called Maxwell algebra. We propose a generalized set of asymptotic boundary conditions for the…

High Energy Physics - Theory · Physics 2025-02-26 Patrick Concha , Javier Matulich , Daniel Pino , Evelyn Rodríguez

We establish the equality of the ADM mass and the total electric charge for asymptotically flat, static electrovac black hole spacetimes with completely degenerate, not necessarily connected horizon.

General Relativity and Quantum Cosmology · Physics 2010-04-06 M. Heusler

In this series of lectures we give an introduction to the concept of asymptotic symmetry analysis with a focus on asymptotically flat spacetimes in 2+1 dimensions. We explain general ideas of quantizing gauge theories and then apply these…

High Energy Physics - Theory · Physics 2017-10-13 Max Riegler , Céline Zwikel

We extend the work in our earlier article [4] to show that time-periodic, asymptotically-flat solutions of the Einstein equations analytic at scri, whose source is one of a range of scalar-field models, are necessarily stationary. We also…

General Relativity and Quantum Cosmology · Physics 2011-01-18 Jiří Bičák , Martin Scholtz , Paul Tod

We prove the existence of a large class of asymptotically flat initial data with non-vanishing mass and angular momentum for which the metric and the extrinsic curvature have asymptotic expansions at space-like infinity in terms of powers…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sergio Dain , Helmut Friedrich

We study connections among the ADM mass, positive harmonic functions tending to zero at infinity, and the capacity of the boundary of asymptotically flat $3$-manifolds with nonnegative scalar curvature. First we give new formulae that…

Differential Geometry · Mathematics 2023-06-12 Pengzi Miao

Mass angular momentum and charge inequalities for axisymmetric maximal time-symmetric initial data invariant under an action of U(1) group, in Einstein-Maxwell-axion-dilaton gravity being the low-energy limit of the heterotic string theory,…

High Energy Physics - Theory · Physics 2015-06-18 Marek Rogatko

This paper deals with the applications of weighted Besov spaces to elliptic equations on asymptotically flat Riemannian manifolds, and in particular to the solutions of Einstein's constraints equations. We establish existence theorems for…

Analysis of PDEs · Mathematics 2014-03-07 Uwe Brauer , Lavi Karp

We give some lower estimates of the ADM mass of an asymptotically flat (AF) Riemannian manifold without assuming that the scalar curvature of the manifold is nonnegative. Some sufficient conditions for an AF manifold to have nonnegative ADM…

Differential Geometry · Mathematics 2007-05-23 Yuguang Shi , Luen-fai Tam

We use the notion of intrinsic flat distance to address the almost rigidity of the positive mass theorem for asymptotically hyperbolic manifolds. In particular, we prove that a sequence of spherically symmetric asymptotically hyperbolic…

Differential Geometry · Mathematics 2018-05-14 A Sakovich , C Sormani

The Bondi-Metzner-Sachs-van der Burg (BMS) group is the asymptotic symmetry group of radiating asymptotically flat spacetimes. It has recently received renewed interest in the context of the flat holography and the infrared structure of…

High Energy Physics - Theory · Physics 2020-09-07 Romain Ruzziconi

The asymptotic method of post-Newtonian (PN) expansion for weak gravitational fields, recently developed, is compared with the standard method of PN expansion, in the particular case of a massive test particle moving along a geodesic line…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Mayeul Arminjon

We show that previously known non-asymptotically flat static black hole solutions of Einstein-Maxwell-dilaton theory may be obtained as near-horizon limits of asymptotically flat black holes. Specializing to the case of the dilaton coupling…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gerard Clement , Cedric Leygnac

The aim of this article is to construct initial data for the Einstein equations on manifolds of the form R n+1 x T m , which are asymptotically flat at infinity, without assuming any symmetry condition in the compact direction. We use the…

Analysis of PDEs · Mathematics 2021-11-30 Cécile Huneau , Caterina Vâlcu

The phase space reduction of Schwarzschild black holes by Thiemann and Kastrup and by Kucha\v{r} is reexamined from a different perspective on gauge freedom. This perspective introduces additional gauge transformations which correspond to…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Donald Marolf
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