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Finite gravitational action for higher derivative and stringy gravities
2000
Physical Review D, Particles and fields
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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
doi:10.1103/physrevd.62.064018
fatcat:jfoc3yml7fggjjyq7p5mgv6a7q