Batalin-Fradkin-Vilkovisky quantization of Einstein gravity with off-diagonal solutions encoding Ho\v{r}ava type generating functions
General Relativity and Quantum Cosmology
2026-03-12 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2603.10082,
title = {Batalin-Fradkin-Vilkovisky quantization of Einstein gravity with off-diagonal solutions encoding Ho\v{r}ava type generating functions},
author = {Elşen Veli Veliev and Sergiu I. Vacaru},
journal= {arXiv preprint arXiv:2603.10082},
year = {2026}
}
Comments
latex2e, 11pt, 33 pages