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arXiv · 2610.02004

Analytic Metric for Rotating Black Holes in Higher-Derivative Gravity

Jierui Hu·Dongjun Li·Nicolás Yunes
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Abstract

We turn metric reconstruction into an analytic solver for rotating black holes in modified gravity, bypassing the direct solution of coupled field equations. As an example, in parity-even cubic gravity, we construct the first analytic spinning black hole metric at linear order in the coupling, without spin or weak-field expansions. We stringently validate the field equations and reproduce independent analytic predictions for horizon properties. This establishes a new route to construct spinning black holes beyond Einstein gravity and lays the foundation for strong-field tests.

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Jierui Hu, Dongjun Li, Nicolás Yunes. 2026-10-01. Analytic Metric for Rotating Black Holes in Higher-Derivative Gravity. https://arxiv.org/abs/2610.02004

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