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Boundary Energy-Momentum Tensors for Asymptotically Flat Spacetimes

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arxiv 2505.05432 v2 pith:VLJR5FRH submitted 2025-05-08 hep-th gr-qc

Boundary Energy-Momentum Tensors for Asymptotically Flat Spacetimes

classification hep-th gr-qc
keywords carrollboundaryenergy-momentumactionasymptoticallydataflatidentity
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider 3D and 4D asymptotically flat spacetimes near future null infinity endowed with the most general allowed Carroll geometry. We define a boundary energy-momentum tensor by varying the on-shell action with respect to the Carroll metric data. This requires adding counterterms to the Einstein-Hilbert action. We show that, in 4D, the shear is on par with the Carroll metric data. Their combined response defines a boundary energy-momentum-news complex whose diffeomorphism Ward identity is equivalent to the Bondi mass and angular momentum loss equations. Weyl invariance leads to an identity for the trace of the energy-momentum tensor, and local Carroll boosts are anomalous in 3D and in 4D.

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Forward citations

Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The Energy-Momentum-News Complex near Future Null Infinity

    hep-th 2026-07 accept novelty 7.5

    A Carroll-covariant energy-momentum-news complex at future null infinity yields Ward identities that generalise the Bondi loss equations, with an anomalous Carroll boost.

  2. Kinetic Theory of Carroll Hydrodynamics

    hep-th 2026-05 unverdicted novelty 7.0

    A kinetic theory of interacting instantonic branes yields a first-principles derivation of Carrollian fluid equations and initial elements of Carrollian thermodynamics.

  3. Kinetic Theory of Carroll Hydrodynamics

    hep-th 2026-05 unverdicted novelty 7.0

    A microscopic derivation of Carrollian fluid equations from a statistical mechanics of interacting instantonic branes, plus initial elements of Carrollian thermodynamics.

  4. BMS$_3$ invariant field theories

    hep-th 2026-07 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.

  5. Flat from AdS: in any dimension and for any spin

    hep-th 2026-06 unverdicted novelty 6.0

    Recovers Minkowski massless integer-spin solution space as smooth limit of AdS solution space for even dimensions via cosmological-constant expansion of source and vev.

  6. Carroll fermions from null reduction: A case of good and bad fermions

    hep-th 2026-05 unverdicted novelty 6.0

    Carrollian fermionic actions for electric and magnetic sectors are derived from a single Bargmann Dirac action by null reduction, with good and bad fermions as dynamical and constrained modes valid in any dimension.

  7. Observing Massive Scattering from Null Infinity

    hep-th 2026-06 unverdicted novelty 5.0

    Late-time Bondi mass aspect at future null infinity acts as a detector for massive radiation, with its in-in correlations relating to weighted sums of scattering cross sections.

  8. The Carrollian Kaleidoscope

    hep-th 2025-06 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.