Intrinsic time geometrodynamics: explicit examples

TL;DR

This paper develops a formalism called intrinsic time quantum geometrodynamics that addresses the problem of time in quantum gravity, providing explicit solutions that align with Einstein's theory.

Contribution

It introduces a broader class of theories extending general relativity within a quantum geometrodynamics framework, with explicit classical solutions and test particle analysis.

Findings

Derived classical black hole and cosmological solutions.

Analyzed test particle motion in constant three-curvature solutions.

Results agree with Einstein's predictions.

Abstract

Intrinsic time quantum geometrodynamics resolved `the problem of time' and bridged the deep divide between quantum mechanics and canonical quantum gravity with a Schrodinger equation which describes evolution in intrinsic time variable. In this formalism, Einstein's general relativity is a particular realization of a wider class of theories. Explicit classical black hole and cosmological solutions and the motion of test particles are derived and analyzed in this work in the context of constant three-curvature solutions in intrinsic time geometrodynamics; and we exemplify how this formalism yields results which agree with the predictions of Einstein's theory.