Dynamical basis of relativistic time effects in generic curved spacetimes

Abstract

The dynamical basis of relativistic time effects in generic curved spacetimes is investigated The Hamiltonian of a test particle in a generic Arnowitt-Deser-Misner spacetime is derived and employed to discuss relativistic time effects This generalizes the usual special and general relativistic effects due respectively to relative motion and difference in gravitational potential into a single formula which among other benefits is directly applicable to global positioning systems and atomic experiments of gravitational redshift By relating the a posteriori emergent lapse function in general relativity to the reduced Hamiltonian for intrinsic cosmic time evolution all the relativistic time effects discussed can trace their dynamical origins to differences in energy

Date of Award	2018 Jun 21
Original language	English
Supervisor	Cho-Pin Soo (Supervisor)