Extrinsic time formalism for the Euclidean black hole in a box

Details Extrinsic time formalism for the Euclidean black hole in a box Extrinsic time formalism for the Euclidean black hole in a box

Feb 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrvd..53.1977o&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 53, Issue 4, 15 February 1996, pp.1977-1987

Physics

3

Canonical Quantization, Canonical Formalism, Lagrangians, And Variational Principles, Covariant And Sum-Over-Histories Quantization, Lower Dimensional Models, Minisuperspace Models

Scientific paper

We return to the problem of Euclidean black holes in thermodynamical equilibrium with radiation, under the conditions of the statistical mechanical canonical ensemble. This time we use Kuchař's ``extrinsic time'' formalism in order to select the set of true dynamical variables. With this set of canonical variables, \{R~,PR~,M,PM\}, and York's proposal for the boundary and ``horizon'' terms, we compute a classically consistent total action for the Euclidean black hole. We show explicitly that the ``zero-loop'' partition function derived from this total action is identical to the one already in the literature of this area.

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