https://doi.org/10.1140/epjc/s10052-014-3143-5
Letter
Indication for unsmooth horizon induced by quantum gravity interaction
1
Center for Quantum Spacetime, Sogang University, Shinsu-dong 1, Mapo-gu, Seoul, 121-742, South Korea
2
Department of Applied Mathematics, Philander Smith College, Little Rock, AR, 72223, USA
3
Department of Physics, Hanyang University, Seoul, 133-791, Korea
* e-mail: inyongpark05@gmail.com
Received:
4
September
2014
Accepted:
18
October
2014
Published online:
5
November
2014
The angular ADM reduction of the BTZ spacetime yields a Liouville-type theory. The analysis of the resulting Liouville theory naturally leads to the identification of the stretched horizon. The dynamics associated with the stretched horizon has a feature that seems consistent with the unsmooth horizon; the quantum gravity effects are essential for the unsmoothness. We show that the “anomaly” term in the stress–energy tensor is responsible for the Planck scale energy experienced by an infalling observer.
© SIF and Springer-Verlag Berlin Heidelberg, 2014