Liouville gravity from Einstein gravity
General Relativity and Quantum Cosmology
2011-11-10 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We show that Liouville gravity arises as the limit of pure Einstein gravity in 2+epsilon dimensions as epsilon goes to zero, provided Newton's constant scales with epsilon. Our procedure - spherical reduction, dualization, limit, dualizing back - passes several consistency tests: geometric properties, interactions with matter and the Bekenstein-Hawking entropy are as expected from Einstein gravity.
Keywords
Cite
@article{arxiv.0712.3775,
title = {Liouville gravity from Einstein gravity},
author = {D. Grumiller and R. Jackiw},
journal= {arXiv preprint arXiv:0712.3775},
year = {2011}
}
Comments
15 pages, uses diagrams.sty; v2: edited HTML version of abstract, added reference