For two-timescale perturbations about Kerr, the coarse-grained leading-order horizon shear vanishes and the angular-velocity and inaffinity corrections are uniform on each cut, defining adiabatic rigidity; the paper adds a gauge pipeline and charge-flux expansions for EMRI horizon absorption.
The spacetime in the neighborhood of a general isolated black hole
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abstract
We construct the spacetime in the vicinity of a general isolated, rotating, charged black hole. The black hole is modeled as a weakly isolated horizon, and we use the characteristic initial value formulation of the Einstein equations with the horizon as an inner boundary. The spacetime metric and other geometric fields are expanded in a power series in a radial coordinate away from the horizon by solving the characteristic field equations in the Newman-Penrose formalism. This is the first in a series of papers which investigate the near horizon geometry and its physical applications using the isolated horizon framework.
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Horizon flux-balance laws in the multiscale perturbation
For two-timescale perturbations about Kerr, the coarse-grained leading-order horizon shear vanishes and the angular-velocity and inaffinity corrections are uniform on each cut, defining adiabatic rigidity; the paper adds a gauge pipeline and charge-flux expansions for EMRI horizon absorption.