Hamiltonian Approach to 2D Dilaton-Gravities and Invariant Adm Mass

Details Hamiltonian Approach to 2D Dilaton-Gravities and Invariant Adm Mass Hamiltonian Approach to 2D Dilaton-Gravities and Invariant Adm Mass

1993-01-28

arxiv.org/abs/hep-th/9301119v2

Phys.Rev. D47 (1993) 5408-5413

Physics

High Energy Physics

High Energy Physics - Theory

revised, 12 pages, PUPT-1379; we added a reference and corrected some minor typos

Scientific paper

10.1103/PhysRevD.47.5408

The formula existing in the literature for the ADM mass of 2D dilaton gravity is incomplete. For example, in the case of an infalling matter shockwave this formula fails to give a time-independent mass, unless a very special coordinate system is chosen. We carefully carry out the canonical formulation of 2D dilaton gravity theories (classical, CGHS and RST). As in 4D general relativity one must add a boundary term to the bulk Hamiltonian to obtain a well-defined variational problem. This boundary term coincides with the numerical value of the Hamiltonian and gives the correct mass which obviously is time-independent.

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