Uroš Kostić

Univerza v Ljubljani, Fakulteta za matematiko in fiziko

torek, 17. 11. 2009, ob 14h v F6

1. We propose to give a complete set of exact analytic solutions of geodesics, both time-like and light-like, in the Schwarzschild space time.

2. The space-time metric in the vicinity of the Earth is a solution of Einstein’s equations, which can be described as a perturbed Schwarzschild metric. Using the formalism similar to that of Regge-Wheeler, Zerilli, Chandrasekhar and others we propose to search for the canonical perturbations best describing the gravitational field in the vicinity of the Earth, in the coordinate frame centered at the center of mass of the Earth, taking into account the gravitational field of the Moon, Sun, Jupiter and rotation of the Earth.

3. As the space-time metric about the Earth can be described as a perturbed Schwarzschild metric, we propose to develop first order Hamiltonian perturbation theory to describe geodesics in the perturbed Schwarzschild metric.