Tomáš Liko and David Sloan 2009 Class. Quantum Grav. 26 145004 doi:10.1088/0264-9381/26/14/145004
Tomáš Liko1 and David Sloan
Show affiliationsWe 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.
Issue 14 (21 July 2009)
Received 27 October 2008, in final form 29 May 2009
Published 19 June 2009
Tomáš Liko and David Sloan 2009 Class. Quantum Grav. 26 145004
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