Note on counterterms in asymptotically flat spacetimes
Dumitru Astefanesei, Robert B. Mann, Cristian Stelea
TL;DR
This paper refines the covariant counterterm method for asymptotically flat spacetimes, providing explicit formulas for practical calculations of actions and conserved quantities, with applications to NUT-charged and Kerr black hole spacetimes.
Contribution
It offers explicit expressions for the covariant counterterm in general dimensions, facilitating computations in asymptotically flat spacetimes.
Findings
Explicit formulas for counterterms in general dimensions.
Application to NUT-charged spacetime.
Application to Kerr black hole.
Abstract
We consider in more detail the covariant counterterm proposed by Mann and Marolf in asymptotically flat spacetimes. With an eye to specific practical computations using this counterterm, we present explicit expressions in general dimensions that can be used in the so-called `cylindrical cut-off' to compute the action and the associated conserved quantities for an asymptotically flat spacetime. As applications, we show how to compute the action and the conserved quantities for the NUT-charged spacetime and for the Kerr black hole in four dimensions.
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