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arXiv · 2007.13294

Role of Mann Counterterm in Gravitational Energy

Shoichiro Miyashita
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Abstract

In 1999, R. B. Mann proposed a counterterm that is some sort of generalization of the well-known Holographic counterterm and that can eliminate the divergence of the gravitational action of asymptotically AdS and flat spacetimes (Phys. Rev. D $\boldsymbol{60}$ (1999) 104047 [1]). I show it is not only for eliminating the divergence of such spacetimes but also for setting the ground state energy to zero for any $d$-dimensional spacetimes with an $S^{d-2} \times \mathbb{R} $ boundary geometry, and speculate it is also true for spacetimes with any (suitable) boundary geometry and topology.

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Shoichiro Miyashita. 2020-07-27. Role of Mann Counterterm in Gravitational Energy. https://arxiv.org/abs/2007.13294

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