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Null Infinity and Horizons: A New Approach to Fluxes and Charges

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arxiv 2407.03254 v1 pith:JOXUJWDP submitted 2024-07-03 hep-th gr-qcmath-phmath.MP

Abhay Ashtekar , Simone Speziale This is my paper · ORCID
classification hep-thgr-qcmath-phmath.MP
keywords frameworkhamiltonianfluxeshorizonsinfinitynullapproachblack
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We introduce a Hamiltonian framework tailored to degrees of freedom (DOF) of field theories that reside in suitable 3-dimensional open regions, and then apply it to the gravitational DOF of general relativity. Specifically, these DOF now refer to open regions of null infinity, and of black hole (and cosmological) horizons representing equilibrium situations. At null infinity the new Hamiltonian framework yields the well-known BMS fluxes and charges. By contrast, all fluxes vanish identically at black hole (and cosmological) horizons just as one would physically expect. In a companion paper we showed that, somewhat surprisingly, the geometry and symmetries of these two physical configurations descend from a common framework. This paper reinforces that theme: Very different physics emerges in the two cases from a common Hamiltonian framework because of the difference in the nature of degrees of freedom. Finally, we compare and contrast this Hamiltonian approach with those available in the literature.

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Cited by 5 Pith papers

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

  1. Black Hole Tomography: Unveiling Black Hole Ringdown via Gravitational Wave Observations

    gr-qc 2025-01 conditional novelty 7.0 of 10

    Infalling and outgoing gravitational radiation around a perturbed Schwarzschild horizon share the same quasi-normal mode spectrum, with an explicit transfer formula between the horizon and null infinity.

  2. Twisting asymptotically-flat spacetimes

    gr-qc 2025-11 conditional novelty 6.0 of 10

    Twisting asymptotically-flat spacetimes are brought into a generalized Bondi gauge with finite radial expansion, producing new flux-balance laws, Carroll-boost symmetries, and finite supertranslated Kerr–Taub–NUT metrics.

  3. Supertranslations in the bulk of spacetime

    hep-th 2025-12 conditional novelty 5.0 of 10

    Supertranslations can be defined in the bulk as changes of null hypersurfaces, extending boundary symmetries into the interior and producing a curvature-dependent memory effect in Schwarzschild.

  4. Gravitational Entropy

    hep-th 2025-09 conditional novelty 5.0 of 10

    Gravitational entropy of horizons is reformulated as a Noether charge from a specially normalized null generator, reproducing the area law for black hole and cosmological horizons without invoking temperature.

  5. GGI lectures on boundary and asymptotic symmetries

    hep-th 2025-12 conditional novelty 4.0 of 10

    A lecture-note review of boundary and asymptotic symmetries that re-derives the BMS group as the asymptotic symmetry group of Minkowski spacetime alone and constructs an integral Hamiltonian generator for scalar-field...

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