The Gravitational Action in Asymptotically AdS and Flat Spacetimes

Details The Gravitational Action in Asymptotically AdS and Flat Spacetimes The Gravitational Action in Asymptotically AdS and Flat Spacetimes

1999-06-16

arxiv.org/abs/hep-th/9906127v2

Nucl.Phys. B563 (1999) 259-278

Physics

High Energy Physics

High Energy Physics - Theory

25 pages; v2: one paragraph added, refs updated

Scientific paper

10.1016/S0550-3213(99)00549-0

The divergences of the gravitational action are analyzed for spacetimes that are asymptotically anti-de Sitter and asymptotically flat. The gravitational action is rendered finite using a local counterterm prescription, and the relation of this method to the traditional reference spacetime is discussed. For AdS, an iterative procedure is devised that determines the counterterms efficiently. For asymptotically flat space, we use a different method to derive counterterms which are sufficient to remove divergences in most cases.

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