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On the geometric trinity of gravity, non-relativistic limits, and Maxwell gravitation

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arxiv 2309.06889 v3 pith:QCGYPUQJ submitted 2023-09-13 physics.hist-ph gr-qc

Eleanor March , William J. Wolf , James Read This is my paper · ORCID
classification physics.hist-phgr-qc
keywords geometricgravitytrinitycommoncoredynamicalgravitationmaxwell
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We show that the dynamical common core of the recently-discovered non-relativistic geometric trinity of gravity is Maxwell gravitation. Moreover, we explain why no analogous distinct dynamical common core exists in the case of the better-known relativistic geometric trinity of gravity.

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  1. Affine connections for Galilean and Carrollian structures: a unified perspective

    gr-qc 2025-06 conditional novelty 7.0 of 10

    The authors classify general Carrollian affine connections with torsion and non-metricity, show their emergence from Lorentzian limits, and build an ultra-relativistic geometric trinity of gravity theories.

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