Leading effective field theory corrections to the Kerr metric at all spins

TL;DR

This paper computes the leading higher-derivative corrections to the Kerr black hole metric across all spins, highlighting their significant effects on rapidly rotating black holes and providing publicly available solutions and code.

Contribution

It presents a numerical analysis of effective field theory corrections to Kerr black holes for all spins, with publicly accessible datasets and code.

Findings

Rapidly rotating black holes are most affected by higher-derivative corrections.

Corrections are computed across the entire sub-extremal spin range.

Publicly available dataset and code facilitate further research.

Abstract

The leading corrections to General Relativity can be parametrized by higher-derivative interactions in a low-energy effective field theory, in a way that is general and agnostic to the precise UV completion of gravity. Using numerical methods, we compute the leading-order corrections to the Kerr metric across the entire range of sub-extremal values of spin and analyse their impact on physical quantities. We find that rapidly rotating black holes are most affected by the higher-derivative corrections, making them especially sensitive probes of new physics. A dataset of solutions and the code used to produce them are publicly available.