First-order action and Euclidean quantum gravity

Liko, Tomáš and Sloan, David (2009) First-order action and Euclidean quantum gravity. Classical and Quantum Gravity, 26 (14). ISSN 0264-9381

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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.

Item Type:
Journal Article
Journal or Publication Title:
Classical and Quantum Gravity
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/3100/3101
Subjects:
ID Code:
131147
Deposited By:
Deposited On:
11 Feb 2019 09:50
Refereed?:
Yes
Published?:
Published
Last Modified:
01 Jan 2020 11:49