Liouville gravity from Einstein gravity

Details Liouville gravity from Einstein gravity Liouville gravity from Einstein gravity

2007-12-21

arxiv.org/abs/0712.3775v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, uses diagrams.sty; v2: edited HTML version of abstract, added reference

Scientific paper

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.

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