Gravitational Effects: Action Evaluation and Wavelength Shifts

This lecture covers exercises related to evaluating the action of a massive particle in a static gravitational field, expressing it in terms of the metric and proper velocity, and taking the non-relativistic limit. It also explores the wavelength shift of light from a neutron star due to gravitational effects, the importance of this shift in cosmology, and the practical implications for GPS systems. Additionally, it discusses the relativistic effects on GPS accuracy and the principle of equivalence in elevators with and without gravitational fields.