Intrinsic time geometrodynamics: explicit examples

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.

11 pages. This article is an extension of `Intrinsic time geometrodynamics: explicit examples', Huei-Chen Lin and Chopin Soo, Chin. J. Phys. 53, 110102 (2015), published in Chinese Journal of Physics (Volume 53, Number 6 (November 2015)), Special Issue On the occasion of 100 years since the birth of Einstein's General Relativity