Consistent Hamiltonian Reduction
General Relativity and Quantum Cosmology
2024-06-03 v1
Abstract
I show that the recently proposed (2+2) Hamiltonian reduction of Einstein's equations of 4-dimensional spacetimes is consistent with general covariance. The consistency proof is {\it extrinsic}, as it follows from the fact that Hamilton's equations derived from the non-zero gravitational Hamiltonian are identical to the Ricci-flat condition of 4-dimensional spacetimes in privileged coordinates.
Cite
@article{arxiv.2405.20557,
title = {Consistent Hamiltonian Reduction},
author = {Jong Hyuk Yoon},
journal= {arXiv preprint arXiv:2405.20557},
year = {2024}
}