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Neighbourhoods of Isolated Horizons and their stationarity

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arxiv 1404.7836 v2 pith:VUYBHFIA submitted 2014-04-30 gr-qc hep-th

Jerzy Lewandowski , Tomasz Pawlowski This is my paper · ORCID
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keywords horizonspacetimedataconditionsdimensionneighbourhoodarbitrarybondi-like
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abstract

A distinguished (invariant) Bondi-like coordinate system is defined in the spacetime neighbourhood of a non-expanding horizon of arbitrary dimension via geometry invariants of the horizon. With its use, the radial expansion of a spacetime metric about the horizon is provided and the free data needed to specify it up to given order are determined in spacetime dimension $4$. For the case of an electro-vacuum horizon in $4$-dimensional spacetime the necessary and sufficient conditions for the existence of a Killing field at its neighbourhood are identified as differential conditions on the horizon data and data on null surface transversal to the horizon.

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Cited by 1 Pith paper

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  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.

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