Carrollian-Holographic Derivation of Gravitational Flux-Balance Laws

Adrien Fiorucci; Simon Pekar; P. Marios Petropoulos; Matthieu Vilatte

doi:10.1103/qv17-ks32

Carrollian-Holographic Derivation of Gravitational Flux-Balance Laws

Adrien Fiorucci
, Simon Pekar
, P. Marios Petropoulos
, Matthieu Vilatte

Research output: Contribution to journal › Article › peer-review

Abstract

We demonstrate that the Bondi-van der Burg-Metzner-Sachs (BMS) evolution equations for the mass and angular momentum aspects in asymptotically flat Einstein gravity follow from local Carroll, Weyl, and diffeomorphism invariance at the null conformal boundary, upon providing a minimalistic holographic dictionary as the sole input from the bulk. This result is a significant step in the quest for a flat-space holographic correspondence and offers a geometric implementation of the radiative degrees of freedom that source the boundary theory in the presence of bulk gravitational waves.

Original language	English
Pages (from-to)	261602
Number of pages	1
Journal	Physical Review Letters
Volume	135
Issue number	26
DOIs	https://doi.org/10.1103/qv17-ks32
Publication status	Published - 31 Dec 2025
Externally published	Yes

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10.1103/qv17-ks32

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abstract = "We demonstrate that the Bondi-van der Burg-Metzner-Sachs (BMS) evolution equations for the mass and angular momentum aspects in asymptotically flat Einstein gravity follow from local Carroll, Weyl, and diffeomorphism invariance at the null conformal boundary, upon providing a minimalistic holographic dictionary as the sole input from the bulk. This result is a significant step in the quest for a flat-space holographic correspondence and offers a geometric implementation of the radiative degrees of freedom that source the boundary theory in the presence of bulk gravitational waves.",

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PY - 2025/12/31

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N2 - We demonstrate that the Bondi-van der Burg-Metzner-Sachs (BMS) evolution equations for the mass and angular momentum aspects in asymptotically flat Einstein gravity follow from local Carroll, Weyl, and diffeomorphism invariance at the null conformal boundary, upon providing a minimalistic holographic dictionary as the sole input from the bulk. This result is a significant step in the quest for a flat-space holographic correspondence and offers a geometric implementation of the radiative degrees of freedom that source the boundary theory in the presence of bulk gravitational waves.

AB - We demonstrate that the Bondi-van der Burg-Metzner-Sachs (BMS) evolution equations for the mass and angular momentum aspects in asymptotically flat Einstein gravity follow from local Carroll, Weyl, and diffeomorphism invariance at the null conformal boundary, upon providing a minimalistic holographic dictionary as the sole input from the bulk. This result is a significant step in the quest for a flat-space holographic correspondence and offers a geometric implementation of the radiative degrees of freedom that source the boundary theory in the presence of bulk gravitational waves.

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Carrollian-Holographic Derivation of Gravitational Flux-Balance Laws

Abstract

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