Particle dynamics in a class of two-dimensional gravity theories.

We provide a method to determine the motion of a classical massive particle in a background geometry of 2-dimensional gravity theories, for which the Birkhoff theorem holds. In particular, we get the particle trajectory in a continuous class of 2-dimensional dilaton gravity theories that includes the Callan-Giddings-HarveyStrominger (CGHS) model, the Jackiw-Teitelboim (JT) model, and the d-dimensional s-wave Einstein gravity. The explicit trajectory expressions for these theories are given along with the discussions on the results.We provide a method to determine the motion of a classical massive particle in a background geometry of 2-dimensional gravity theories, for which the Birkhoff theorem holds. In particular, we get the particle trajectory in a continuous class of 2-dimensional dilaton gravity theories that includes the Callan-Giddings-Harvey-Strominger (CGHS) model, the JackiwTeitelboim (JT) model, and the d-dimensional s-wave Einstein gravity. The explicit trajectory expressions for these theories are given along with the discussions on the results.