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- W3105319270 abstract "Within a first-order framework, we comprehensively examine the role played by boundary conditions in the canonical formulation of a completely general two-dimensional gravity model. Our analysis particularly elucidates the perennial themes of mass and energy. The gravity models for which our arguments are valid include theories with dynamical torsion and so-called generalized dilaton theories (GDTs). Our analysis of the canonical action principle (i) provides a rigorous correspondence between the most general first-order two-dimensional Einstein-Cartan model (ECM) and GDT and (ii) allows us to extract in a virtually simultaneous manner the ``true degrees of freedom'' for both ECMs and GDTs. For all such models, the existence of an absolutely conserved (in vacuo) quantity C is a generic feature, with (minus) C corresponding to the black-hole mass parameter in the important special cases of spherically symmetric four-dimensional general relativity and standard two-dimensional dilaton gravity. The mass C also includes (minimally coupled) matter into a ``universal mass function.'' We place particular emphasis on the (quite general) class of models within GDT possessing a Minkowski-like groundstate solution (allowing comparison between $C$ and the Arnowitt-Deser-Misner mass for such models)." @default.
- W3105319270 created "2020-11-23" @default.
- W3105319270 creator A5038514497 @default.
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- W3105319270 date "1997-07-01" @default.
- W3105319270 modified "2023-10-18" @default.
- W3105319270 title "Boundary Conditions and Quasilocal Energy in the Canonical Formulation of All 1+1 Models of Gravity" @default.
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- W3105319270 doi "https://doi.org/10.1006/aphy.1997.5687" @default.
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