# Gauge gravity vacuum in constraintless Clairaut-type formalism

@inproceedings{Walker2021GaugeGV, title={Gauge gravity vacuum in constraintless Clairaut-type formalism}, author={Michael Luke Walker and Steven Duplij}, year={2021} }

A previously published covariant decomposition of the Levi-Civita tensor has demonstrated the strong mathematical parallel between gravity and N = 2 YangMills theory. We use this to argue that the an R2 type Lagrangian has a stable vacuum of lower energy than the perturbative vacuum. Using a Lagrangian in this form instead of the more conventional Hilbert-Einstein Lagrangian allows us to use the Clairaut-based formalism published by one of us previously to handle gravity’s topological degrees…

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