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Related papers: Supertranslation in the bulk for generic spacetime

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The memory effect is a prediction of general relativity on the same footing as the existence of gravitational waves. The memory effect is understood at future null infinity as a transition induced by null radiation from a Poincar\'e vacuum…

High Energy Physics - Theory · Physics 2016-11-15 Geoffrey Compère

In the near-horizon region, black holes exhibit an infinite-dimensional symmetry reminiscent of the Bondi-Metzner-Sachs (BMS) supertranslations. The conserved charges associated with this symmetry can be computed in gravitational theories…

High Energy Physics - Theory · Physics 2025-06-30 Mariano Chernicoff , Gaston Giribet , Julio Oliva

We review recent results on symmetries of asymptotically flat spacetimes at null infinity. In higher dimensions, the symmetry algebra realizes the Poincar\'e algebra. In three and four dimensions, besides the infinitesimal supertranslations…

General Relativity and Quantum Cosmology · Physics 2012-08-23 Glenn Barnich , Cédric Troessaert

In this paper we review and discuss several aspects of supertranslations and their associated algebras at the horizon of a Schwarzschild black hole. We will compare two different approaches on horizon supertranslations, which were recently…

High Energy Physics - Theory · Physics 2018-04-04 Dieter Lust

Recently it has been shown that there is asymptotic BMS-like symmetry associated with the near-horizon geometry of black holes in three and four dimensions. In this paper, we show that the presence of such BMS-like symmetry is a ubiquitous…

General Relativity and Quantum Cosmology · Physics 2017-06-07 Changfu Shi , Jianwei Mei

We study general relativity at a null boundary using the covariant phase space formalism. We define a covariant phase space and compute the algebra of symmetries at the null boundary by considering the boundary-preserving diffeomorphisms…

High Energy Physics - Theory · Physics 2023-07-20 Venkatesa Chandrasekaran , Eanna E. Flanagan , Kartik Prabhu

We show that the asymptotic symmetries close to nonextremal black hole horizons are generated by an extension of supertranslations. This group is generated by a semidirect sum of Virasoro and Abelian currents. The charges associated with…

High Energy Physics - Theory · Physics 2016-03-09 Laura Donnay , Gaston Giribet , Hernan A. Gonzalez , Miguel Pino

This work provides a smooth and everywhere well-defined extension of Bondi-Metzner-Sachs (BMS) supertranslations into the bulk of Minkowski space. The supertranslations lead to physically distinct spacetimes, all isometric to Minkowski…

General Relativity and Quantum Cosmology · Physics 2018-02-20 Friedrich Schöller

A framework that structures the gravitational memory effects and which is consistent with gravitational electric-magnetic duality is presented. A correspondence is described between memory observables, particular subleading residual gauge…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Geoffrey Compère

We characterise the geometrical nature of smooth supertranslations defined on a generic non-expanding horizon (NEH) embedded in vacuum. To this end we consider the constraints imposed by the vacuum Einstein's equations on the NEH structure,…

High Energy Physics - Theory · Physics 2018-02-14 Kepa Sousa , Guillermo Milans del Bosch , Borja Reina

We revisit the theory of null shells in general relativity, with a particular emphasis on null shells placed at horizons of black holes. We study in detail the considerable freedom that is available in the case that one solders two metrics…

High Energy Physics - Theory · Physics 2016-03-23 Matthias Blau , Martin O'Loughlin

A finitely supertranslated Schwarzschild black hole possesses nontrivial super-Lorentz charges compared with the standard one. This may impact the quasinormal modes of the black hole. Since the Einstein's equations are generally covariant,…

General Relativity and Quantum Cosmology · Physics 2025-02-13 Shaoqi Hou , Kai Lin , Zong-Hong Zhu

Gravitational memory effect has emerged as a new window and opened up several intriguing avenues in the field of gravitational wave astronomy together with its inter-connection to asymptotic symmetries (AS). The recent developments in this…

General Relativity and Quantum Cosmology · Physics 2022-03-22 Shailesh Kumar

Superpositions of black holes can be described geometrically using a combined canonical formulation for space-time and quantum states. A previously introduced black-hole model that includes quantum fluctuations of metric components is shown…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Kallan Berglund , Martin Bojowald , Aurora Colter , Manuel Diaz

It is shown that black hole spacetimes in classical Einstein gravity are characterized by, in addition to their ADM mass $M$, momentum $\vec P$, angular momentum $\vec J$ and boost charge $\vec K$, an infinite head of supertranslation hair.…

High Energy Physics - Theory · Physics 2017-06-28 Stephen W. Hawking , Malcolm J. Perry , Andrew Strominger

The paper addresses the question whether in four spacetime dimensions, besides standard supergravity theories, field theories exist whose symmetries include local spacetime translations and supersymmetries generated by transformations whose…

High Energy Physics - Theory · Physics 2023-10-10 Friedemann Brandt

We compute the memory effect produced at the black hole horizon by a transient gravitational shockwave. As shown by Hawking, Perry, and Strominger (HPS) such a gravitational wave produces a deformation of the black hole geometry which from…

High Energy Physics - Theory · Physics 2018-12-19 Laura Donnay , Gaston Giribet , Hernan A. Gonzalez , Andrea Puhm

The surface charges associated with the symmetries of asymptotically flat four dimensional spacetimes at null infinity are constructed. They realize the symmetry algebra in general only up to a field-dependent central extension that…

High Energy Physics - Theory · Physics 2015-05-28 Glenn Barnich , Cedric Troessaert

Hypersurfaces embedded in conformal manifolds appear frequently as boundary data in boundary-value problems in cosmology and string theory. Viewed as the non-null conformal infinity of a spacetime, we consider hypersurfaces embedded in a…

Differential Geometry · Mathematics 2023-02-06 Samuel Blitz

The Bondi-van der Burg-Metzner-Sachs (BMS) group, as the asymptotic symmetry group of asymptotically flat spacetimes, plays a central role in connecting infrared structures of gravity with soft theorems and gravitational memory. In this…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Nihar Ranjan Ghosh , Malay K. Nandy
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