First-order action and Euclidean quantum gravity

被引：6

作者：

Liko, Tomas ^{[1
]}

Sloan, David ^{[1
]}

机构：

[1] Penn State Univ, Inst Gravitat & Cosmos, University Pk, PA 16802 USA

来源：

CLASSICAL AND QUANTUM GRAVITY | 2009年 / 26卷 / 14期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1088/0264-9381/26/14/145004

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：8