ORBITAL DYNAMICS AROUND BLACK HOLES AND MASSIVE STRINGS

Abstract

For this thesis, we studied equatorial orbits around Schwarzschild black holes and around axially symmetric vacuum solutions known as Levi-Civita metric. We then compared trajectories of test particles falling into both types of objects. One of the observations is that graph of effective potential for Levi-Civita metric changes depending on the value of σ, linear energy density of the source. The metric has a stable timelike circular geodesics only at values σ < 1/4. Another observation is that metric does not show asymptotical flatness as r→∞like Schwarzschild does.