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arXiv · 2603.10082

Batalin-Fradkin-Vilkovisky quantization of Einstein gravity with off-diagonal solutions encoding Ho\v{r}ava type generating functions

Elşen Veli Veliev·Sergiu I. Vacaru
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Abstract

We develop and apply the Batalin-Fradkin-Vilkovisky (BFV) formalism for quantizing off-diagonal solutions of the Einstein equations in general relativity. In the quasi-classical limit of quantum gravity, such solutions possess specific nonlinear symmetries and encode Ho\v{r}ava - Lifshitz (HL) configurations with anisotropic scaling and effective cosmological constants. The geometric constructions are performed on Lorentz manifolds enabled with nonholonomic 2+2 and 3+1 fibration structures.

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Elşen Veli Veliev, Sergiu I. Vacaru. 2026-03-10. Batalin-Fradkin-Vilkovisky quantization of Einstein gravity with off-diagonal solutions encoding Ho\v{r}ava type generating functions. https://doi.org/10.1140/epjc%2Fs10052-026-15297-9

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