Finite gravitational action for higher derivative and stringy gravities
High Energy Physics - Theory
2009-09-17 v1
Abstract
We generalize the local surface counterterm prescription suggested in Einstein gravity for higher derivative (HD) and Weyl gravities. Explicitly, the surface counterterm is found for three- and five-dimensional HD gravities. As a result, the gravitational action for asymptotically AdS spaces is finite and gravitational energy-momentum tensor is well-defined. The holographic trace anomaly for d2 and d4 boundary (gauge) QFT dual to above HD gravity is calculated from gravitational energy-momentum tensor. The calculation of AdS black hole mass in HD gravity is presented within above prescrition. The comparison with the standard prescription (using reference spacetime) is done.
Cite
@article{arxiv.hep-th/9911152,
title = {Finite gravitational action for higher derivative and stringy gravities},
author = {Shin'ichi Nojiri and Sergei D. Odintsov},
journal= {arXiv preprint arXiv:hep-th/9911152},
year = {2009}
}
Comments
LaTeX file, 21 pages