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Asymptotic Structure of Symmetry Reduced General Relativity

5 Pith papers cite this work. Polarity classification is still indexing.

5 Pith papers citing it
abstract

Gravitational waves with a space-translation Killing field are considered. In this case, the 4-dimensional Einstein vacuum equations are equivalent to the 3-dimensional Einstein equations with certain matter sources. This interplay between 4- and 3- dimensional general relativity can be exploited effectively to analyze issues pertaining to 4 dimensions in terms of the 3-dimensional structures. An example is provided by the asymptotic structure at null infinity: While these space-times fail to be asymptotically flat in 4 dimensions, they can admit a regular completion at null infinity in 3 dimensions. This completion is used to analyze the asymptotic symmetries, introduce the analog of the 4-dimensional Bondi energy-momentum and write down a flux formula. The analysis is also of interest from a purely 3-dimensional perspective because it pertains to a diffeomorphism invariant 3-dimensional field theory with {\it local} degrees of freedom, i.e., to a midi-superspace. Furthermore, due to certain peculiarities of 3 dimensions, the description of null infinity does have a number of features that are quite surprising because they do not arise in the Bondi-Penrose description in 4 dimensions.

citation-role summary

background 3 method 1

citation-polarity summary

fields

hep-th 3 gr-qc 2

years

2026 3 2025 2

representative citing papers

Asymptotically-FLRW$_3$ spacetimes

gr-qc · 2026-06-01 · unverdicted · novelty 7.0

Introduces asymptotically-FLRW3 spacetimes whose asymptotic symmetry group is the one-parameter family BMS3^k, fully characterizes the scalar-field solution space, identifies covariant mass/angular-momentum aspects and news via vacuum orbits, and exhibits exactly conserved non-linear Newman-Penrose

BMS$_3$ invariant field theories

hep-th · 2026-07-07 · accept · novelty 6.0

New BMS3-invariant 2D scalar theories (electric, magnetic, canonical, coupled) with boundary analysis, flux laws, monodromy matching to 3D gravity, and complementary AdS3/dS3 flat limits.

Carroll fermions, expansions and the lightcone

hep-th · 2026-04-15 · unverdicted · novelty 6.0

Carrollian fermion actions are obtained from relativistic Dirac theory via c-expansion and connected to light-cone dynamics through co-dimension one Carroll subalgebras in the Poincaré algebra.

The Carrollian Kaleidoscope

hep-th · 2025-06-19 · unverdicted · novelty 1.0

A review summarizing Carrollian symmetries, CCFT constructions, and applications in AFS holography, Carroll hydrodynamics, and condensed matter phenomena such as fractons and flat bands.

citing papers explorer

Showing 5 of 5 citing papers.

  • Asymptotically-FLRW$_3$ spacetimes gr-qc · 2026-06-01 · unverdicted · none · ref 78 · internal anchor

    Introduces asymptotically-FLRW3 spacetimes whose asymptotic symmetry group is the one-parameter family BMS3^k, fully characterizes the scalar-field solution space, identifies covariant mass/angular-momentum aspects and news via vacuum orbits, and exhibits exactly conserved non-linear Newman-Penrose

  • BMS$_3$ invariant field theories hep-th · 2026-07-07 · accept · none · ref 6 · internal anchor

    New BMS3-invariant 2D scalar theories (electric, magnetic, canonical, coupled) with boundary analysis, flux laws, monodromy matching to 3D gravity, and complementary AdS3/dS3 flat limits.

  • Carroll fermions, expansions and the lightcone hep-th · 2026-04-15 · unverdicted · none · ref 5

    Carrollian fermion actions are obtained from relativistic Dirac theory via c-expansion and connected to light-cone dynamics through co-dimension one Carroll subalgebras in the Poincaré algebra.

  • Lectures on the Bondi--Metzner--Sachs group and related topics in infrared physics gr-qc · 2025-04-16 · unverdicted · none · ref 7 · internal anchor

    Lecture notes that build the BMS group from prerequisites to applications in soft theorems, memory effects, and new material on asymptotic conformal Killing horizons.

  • The Carrollian Kaleidoscope hep-th · 2025-06-19 · unverdicted · none · ref 157 · internal anchor

    A review summarizing Carrollian symmetries, CCFT constructions, and applications in AFS holography, Carroll hydrodynamics, and condensed matter phenomena such as fractons and flat bands.