Comments on 2D dilaton gravity system with a hyperbolic dilaton potential
Abstract
We proceed to study a (1+1)-dimensional dilaton gravity system with a hyperbolic dilaton potential. Introducing a couple of new variables leads to two copies of Liouville equations with two constraint conditions. In particular, in conformal gauge, the constraints can be expressed with Schwarzian derivatives. We revisit the vacuum solutions in light of the new variables and reveal its dipole-like structure. Then we present a time-dependent solution which describes formation of a black hole with a pulse. Finally, the black hole thermodynamics is considered by taking account of conformal matters from two points of view: 1) the Bekenstein-Hawking entropy and 2) the boundary stress tensor. The former result agrees with the latter one with a certain counter-term.
Cite
@article{arxiv.1704.07410,
title = {Comments on 2D dilaton gravity system with a hyperbolic dilaton potential},
author = {Hideki Kyono and Suguru Okumura and Kentaroh Yoshida},
journal= {arXiv preprint arXiv:1704.07410},
year = {2018}
}
Comments
23 pages