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A stationary black hole must be axisymmetric in effective field theory

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abstract

The black hole rigidity theorem asserts that a rotating stationary black hole must be axisymmetric. This theorem holds for General Relativity with suitable matter fields, in four or more dimensions. We show that the theorem can be extended to any diffeomorphism invariant theory of vacuum gravity, assuming that this is interpreted in the sense of effective field theory, with coupling constants determined in terms of a ``UV scale'', and that the black hole solution can locally be expanded as a power series in this scale.

fields

gr-qc 1

years

2024 1

verdicts

CONDITIONAL 1

representative citing papers

Gravitational Effective Field Theories and Black Hole Mechanics

gr-qc · 2024-11-21 · conditional · novelty 6.0

In effective field theories of gravity with electromagnetism and scalars, surface gravity and electric potential are constant on black hole horizons up to the accuracy of the EFT, and a modified entropy satisfies the second law.

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  • Gravitational Effective Field Theories and Black Hole Mechanics gr-qc · 2024-11-21 · conditional · none · ref 67 · internal anchor

    In effective field theories of gravity with electromagnetism and scalars, surface gravity and electric potential are constant on black hole horizons up to the accuracy of the EFT, and a modified entropy satisfies the second law.