Dynamical basis of relativistic time effects in generic curved spacetimes

  • 陳 威辰

Student thesis: Master's Thesis

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 Award2018 Jun 21
Original languageEnglish
SupervisorCho-Pin Soo (Supervisor)

Cite this

Dynamical basis of relativistic time effects in generic curved spacetimes
威辰, 陳. (Author). 2018 Jun 21

Student thesis: Master's Thesis