Constraints Algebra and Equations of Motion in Bohmian Interpretation of Quantum Gravity

摘要

It is shown that introducing the quantum effects using deBroglie--Bohm theoryin the canonical formulation of gravity would change the constraints algebra.The new algebra is derived and shown that it is the clear projection of generalcoordinate transformations to the spatial and temporal diffeomorphisms. Thequantum Einstein's equations are derived and it is shown that they aremanifestly covariant under the above diffeomorphisms, as it would be.