Canonical Structure of 2D Black Holes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, 1 figure (uuencoded) included, plain Latex, a4, psfig. FTUV/94-23, IFIC/94-21, Imperial-TP/93-93/32

Scientific paper

10.1016/0370-2693(94)90360-3

We determine the canonical structure of two-dimensional black-hole solutions arising in $2D$ dilaton gravity. By choosing the Cauchy surface appropriately we find that the canonically conjugate variable to the black hole mass is given by the difference of local (Schwarzschild) time translations at right and left spatial infinities. This can be regarded as a generalization of Birkhoff's theorem.

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