Finite gravitational action for higher derivative and stringy gravities

被引:26
作者
Nojiri, S [1 ]
Odintsov, SD
机构
[1] Natl Def Acad, Dept Math & Phys, Yokosuka, Kanagawa 239, Japan
[2] Tomsk Pedag Univ, Tomsk 634041, Russia
来源
PHYSICAL REVIEW D | 2000年 / 62卷 / 06期
关键词
D O I
10.1103/PhysRevD.62.064018
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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 the gravitational energy-momentum tensor is well defined. The holographic trace anomaly for 2D and 4D boundary (gauge) QFT dual to the above HD gravity is calculated from the gravitational energy-momentum tensor. The calculation of the AdS black hole mass in HD gravity is presented with the above prescription. A comparison with the standard prescription (using reference spacetime) is done.
引用
收藏
页码:0640181 / 06401810
页数:10
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