Boundary Conditions for $\mathrm{AdS_2}$ Dilaton Gravity
High Energy Physics - Theory
2023-01-26 v3
Abstract
We study a bi-parametric family of dilaton gravity models with constant and negative curvature. This family includes the Jackiw-Teitelboim gravity and the Liouville gravity model induced by a bosonic string. Furthermore, this family is conformally equivalent to the hiperbolic dilaton models. We propose boundary conditions in the Fefferman-Graham and in the Eddington-Finkelstein gauge. We check the consistency of the asymptotic conditions by computing the entropy of their black hole solution.
Cite
@article{arxiv.2205.03959,
title = {Boundary Conditions for $\mathrm{AdS_2}$ Dilaton Gravity},
author = {Carlos Valcárcel},
journal= {arXiv preprint arXiv:2205.03959},
year = {2023}
}
Comments
14 pages. v3: typos corrected, references added, modifications on the introduction and final remarks section