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arXiv · 2606.14076

A theory agnostic uniqueness theorem for the Kerr solution

Joshua Baines
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Abstract

In this paper, we show that under a suitable set of symmetry arguments and asymptotic conditions, the uniqueness of the Kerr solution can be proven. None of the conditions considered herein explicitly assume the validity of the Einstein equations. Hence, we are able to construct a theory agnostic uniqueness theorem for the Kerr spacetime. This result has implications for theories of quantum gravity or modified theories of gravity which wish to excise singular behaviour from their corresponding spacetimes. Furthermore, this work is complimentary to Penrose's singularity theorem. While the spacetime considered herein is not as general as that assumed by Penrose, we show that singularities can be unavoidable even when the validity of the Einstein equations is not presupposed.

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Joshua Baines. 2026-06-12. A theory agnostic uniqueness theorem for the Kerr solution. https://arxiv.org/abs/2606.14076

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