| Summary: | 碩士 === 國立成功大學 === 物理學系 === 106 === 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.
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