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arXiv · 2606.02929

Kerr--Schild--AdS geometries in quadratic f(R) gravity: A no-go theorem

Alikram N. Aliev
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Abstract

We investigate Kerr-Schild-AdS geometries in quadratic f(R) gravity without imposing the constant-curvature condition R=R_0 a priori. We show that the field equations dynamically enforce constant scalar curvature and uniquely select the Kerr--AdS family of solutions. Thus, quadratic f(R) gravity admits no Kerr--AdS solutions beyond the Einstein branch, establishing a no-go theorem for this class of geometries.

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Alikram N. Aliev. 2026-06-01. Kerr--Schild--AdS geometries in quadratic f(R) gravity: A no-go theorem. https://arxiv.org/abs/2606.02929

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