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On the nonexistence of a vacuum black lens

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arxiv 2012.00381 v2 pith:SB74I6HR submitted 2020-12-01 gr-qc hep-th

James Lucietti , Fred Tomlinson This is my paper · ORCID
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keywords blacklenssolutionspinningvacuumasymptoticallyaxesaxis
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abstract

We demonstrate that five-dimensional, asymptotically flat, stationary and biaxisymmetric, vacuum black holes with lens space $L(n, 1)$ topology, possessing the simplest rod structure, do not exist. In particular, we show that the general solution on the axes and horizon, which we recently constructed by exploiting the integrability of this system, must suffer from a conical singularity on the inner axis component. We give a proof of this for two distinct singly spinning configurations and numerical evidence for the generic doubly spinning solution.

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  1. Building multi-BTZ black holes through Riemann-Hilbert problem

    hep-th 2025-06 conditional novelty 6.0 of 10

    The paper systematically constructs known multi-BTZ black hole solutions from a flat-space seed via Riemann-Hilbert factorization and SO(4,4) transformations.

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