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arXiv · 0810.0297

First-order action and Euclidean quantum gravity

Tomas Liko·David Sloan
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Abstract

We show that the on-shell path integral for asymptotically flat Euclidean spacetimes can be given in the first-order formulation of general relativity, without assuming the boundary to be isometrically embedded in Euclidean space and without adding infinite counter-terms. For illustrative examples of our approach, we evaluate the first-order action for the four-dimensional Euclidean Schwarzschild and NUT-charged spacetimes to derive the corresponding on-shell partition functions, and show that the correct thermodynamic quantities for the solutions are reproduced.

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Tomas Liko, David Sloan. 2009-05-28. First-order action and Euclidean quantum gravity. https://doi.org/10.1088/0264-9381%2F26%2F14%2F145004

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