PreprintCC BY 4.0arXiv
Analytic Metric for Rotating Black Holes in Higher-Derivative Gravity
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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BibTeX
@misc{hu2026analytic,
title = {{Analytic Metric for Rotating Black Holes in Higher-Derivative Gravity}},
author = {Jierui Hu and Dongjun Li and Nicolás Yunes},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.02004},
eprint = {2610.02004},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.02004},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Analytic Metric for Rotating Black Holes in Higher-Derivative Gravity
AU - Jierui Hu
AU - Dongjun Li
AU - Nicolás Yunes
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.02004
UR - https://arxiv.org/abs/2610.02004
AB - 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.
ER -