# Bulk supertranslation memories: a concept reshaping the vacua and black holes of general relativity

@article{Compre2016BulkSM, title={Bulk supertranslation memories: a concept reshaping the vacua and black holes of general relativity}, author={Geoffrey Comp{\`e}re}, journal={arXiv: High Energy Physics - Theory}, year={2016} }

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 Poincare vacuum to another vacuum. Those are related by a supertranslation, which is a fundamental symmetry of asymptotically flat spacetimes. In this essay, I argue that finite supertranslation diffeomorphisms should be extended into the bulk spacetime consistently with…

## Figures from this paper

## 20 Citations

Supertranslation hair of Schwarzschild black hole: a Wilson line perspective

- PhysicsJournal of High Energy Physics
- 2020

We demonstrate within the quantum field theoretical framework that an asymptotic particle falling into the black hole implants soft graviton hair on the horizon, conforming with the classical…

Superrotation charge and supertranslation hair on black holes

- Physics
- 2016

A bstractIt is shown that black hole spacetimes in classical Einstein gravity are characterized by, in addition to their ADM mass M, momentum P→$$ \overrightarrow{P} $$, angular momentum J→$$…

Supertranslations: redundancies of horizon data, and global symmetries at null infinity

- Mathematics
- 2018

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…

BMS flux algebra in celestial holography

- PhysicsJournal of High Energy Physics
- 2021

Abstract
Starting from gravity in asymptotically flat spacetime, the BMS momentum fluxes are constructed. These are non-local expressions of the solution space living on the celestial Riemann…

Large Gauge Transformations and Black Hole Entropy

- Physics
- 2020

Diffeomorphisms in general relativity can act non-trivially on the boundary of spacetimes. Of particular importance are the BMS group of transformations, originally found by Bondi, Metzner, van der…

Supertranslations and Holography near the Horizon of Schwarzschild Black Holes

- Physics
- 2017

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…

Supertranslations and Holography near the Horizon of Schwarzschild Black Holes

- Physics
- 2017

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…

On the Various Extensions of the BMS Group

- Mathematics, Physics
- 2020

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…

Asymptotic Symmetries in the Gauge fixing Approach and the BMS group

- PhysicsProceedings of XV Modave Summer School in Mathematical Physics — PoS(Modave2019)
- 2020

These notes are an introduction to asymptotic symmetries in gauge theories, with a focus on general relativity in four dimensions. We explain how to impose consistent sets of boundary conditions in…

Black hole entropy and soft hair

- PhysicsJournal of High Energy Physics
- 2018

A bstractA set of infinitesimal Virasoro L ⊗ Virasoro R diffeomorphisms are presented which act non-trivially on the horizon of a generic Kerr black hole with spin J. The covariant phase space…

## References

SHOWING 1-10 OF 34 REFERENCES

Gravitational memory, BMS supertranslations and soft theorems

- Physics
- 2014

A bstractThe transit of a gravitating radiation pulse past arrays of detectors stationed near future null infinity in the vacuum is considered. It is shown that the relative positions and clock times…

Classical static final state of collapse with supertranslation memory

- Physics
- 2016

The Kerr metric models the final classical black hole state after gravitational collapse of matter and radiation. Any stationary metric which is close to the Kerr metric has been proven to be…

BMS supertranslations and Weinberg’s soft graviton theorem

- Physics
- 2015

A bstractRecently it was conjectured that a certain infinite-dimensional “diagonal” subgroup of BMS supertranslations acting on past and future null infinity ( and ) is an exact symmetry of the…

Vacua of the gravitational field

- Physics
- 2016

A bstractThe Poincaré invariant vacuum is not unique in quantum gravity. The BMS supertranslation symmetry originally defined at null infinity is spontaneously broken and results in inequivalent…

Liouville theory beyond the cosmological horizon

- Mathematics
- 2014

A bstractThe dS/CFT correspondence postulates the existence of a Euclidean CFT dual to a suitable gravity theory with Dirichlet boundary conditions asymptotic to de Sitter spacetime. A semi-classical…

Soft Hair on Black Holes.

- PhysicsPhysical review letters
- 2016

This Letter gives an explicit description of soft hair in terms of soft gravitons or photons on the black hole horizon, and shows that complete information about their quantum state is stored on a holographic plate at the future boundary of the horizon.

Wiggling throat of extremal black holes

- Mathematics
- 2015

A bstractWe construct the classical phase space of geometries in the near-horizon region of vacuum extremal black holes as announced in [arXiv:1503.07861]. Motivated by the uniqueness theorems for…

Aspects of the BMS/CFT correspondence

- Mathematics, Physics
- 2010

After a review of symmetries and classical solutions involved in the AdS3/CFT2 correspondence, we apply a similar analysis to asymptotically flat spacetimes at null infinity in 3 and 4 dimensions. In…

Symplectic and Killing symmetries of AdS3 gravity: holographic vs boundary gravitons

- Physics
- 2016

A bstractThe set of solutions to the AdS3 Einstein gravity with Brown-Henneaux boundary conditions is known to be a family of metrics labeled by two arbitrary periodic functions, respectively left…

The Large Scale Structure of Space-Time

- Physics
- 1973

The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions.