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Null Infinity as a Weakly Isolated Horizon

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arxiv 2402.17977 v2 pith:63ENZGVX submitted 2024-02-28 hep-th gr-qcmath-phmath.MP

classification hep-thgr-qcmath-phmath.MP
keywords infinitynullassociatedblackframeworkholehorizoncompletion
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Null infinity arises as a boundary of the Penrose conformal completion of an asymptotically flat physical space-time. We first note that null infinity is a weakly isolated horizon (WIH), and then show that its familiar properties can be derived from the general WIH framework. This seems quite surprising because physics associated with black hole (and cosmological) WIHs is very different from that extracted at null infinity. We show that these differences can be directly traced back to the fact that null infinity is a WIH in the conformal completion rather than the physical space-time. In particular, the BMS group at null infinity stems from the symmetry group of WIHs. In a companion paper, we obtain fluxes and charges associated with symmetries associated with both null infinity and black hole (and cosmological) horizons using a new Hamiltonian framework. The fact that is there is a single mathematical framework underlying these different situations paves the way to explore the relation between horizon dynamics in the strong field region and waveforms at infinity. It should also be useful in the analysis of black hole evaporation in quantum gravity.

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Cited by 5 Pith papers

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

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  3. Supertranslations in the bulk of spacetime

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  4. Foundations of Carrollian Geometry

    hep-th 2025-10 accept novelty 5.0 of 10

    A pedagogical review that establishes a unified intrinsic geometry for null hypersurfaces via Carrollian structures, adding new derivations of connection symbols and a null Gauss equation.

  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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