Particle dynamics in a class of 2-dimensional gravity theories

Abstract

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 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.

15 pages, LaTeX. The deletion of the repeated portion of the abstract and the proper line wrapping of the tex file. No other changes

References in corpus (5)

• Evanescent Black Holes
• Semiclassical Approach to Black Hole Evaporation
• Dilaton Gravity and No-Hair Theorem in Two Dimensions
• An extension of Birkhoff's theorem to a class of 2-d gravity theories containing black holes
• Static and Dynamic Analysis of a Massless Scalar Field Coupled with a Class of Gravity Theories

Cited by in corpus (1)

• Exact self-gravitating N-body motion in the CGHS model