Finite gravitational action for higher derivative and stringy gravities

Details Finite gravitational action for higher derivative and stringy gravities Finite gravitational action for higher derivative and stringy gravities

1999-11-19

arxiv.org/abs/hep-th/9911152v1

Phys.Rev.D62:064018,2000

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 21 pages

Scientific paper

10.1103/PhysRevD.62.064018

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.

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