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Multipole Moments of Isolated Horizons

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arxiv gr-qc/0401114 v2 pith:Q2TY7WZ2 submitted 2004-01-28 gr-qc hep-th

Abhay Ashtekar , Jonathan Engle , Tomasz Pawlowski , Chris Van Den Broeck This is my paper · ORCID
classification gr-qchep-th
keywords blackholeshorizonisolatedmultipolestheyangularapplications
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abstract

To every axi-symmetric isolated horizon we associate two sets of numbers, $M_n$ and $J_n$ with $n = 0, 1, 2, ...$, representing its mass and angular momentum multipoles. They provide a diffeomorphism invariant characterization of the horizon geometry. Physically, they can be thought of as the `source multipoles' of black holes in equilibrium. These structures have a variety of potential applications ranging from equations of motion of black holes and numerical relativity to quantum gravity.

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Cited by 3 Pith papers

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

  1. Horizon Multipole Moments of a Kerr Black Hole

    gr-qc 2026-02 unverdicted novelty 7.0 of 10

    Horizon multipole moments of a Kerr black hole are computed in closed form from two definitions, yielding different values for l >= 1 at nonzero spin and sharing parity and small-spin scaling with field multipoles.

  2. 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.

  3. 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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