6533b7d2fe1ef96bd125e1d2

RESEARCH PRODUCT

Diffeomorphisms, Noether charges, and the canonical formalism in two-dimensional dilaton gravity

César F. TalaveraMiguel NavarroJosé Navarro-salas

subject

AstrofísicaPhysicsGravitacióSymplectic representationsymbols.namesakeSymplectic vector spaceCauchy surfaceClassical mechanicssymbolsDilatonNoether's theoremSymplectomorphismMathematics::Symplectic GeometrySymplectic geometryMathematical physicsSymplectic manifold

description

We carry out a parallel study of the covariant phase space and the conservation laws of local symmetries in two-dimensional dilaton gravity. Our analysis is based on the fact that the Lagrangian can be brought to a form that vanishes on-shell giving rise to a well-defined covariant potential for the symplectic current. We explicitly compute the symplectic structure and its potential and show that the requirement to be finite and independent of the Cauchy surface restricts the asymptotic symmetries.

yearjournalcountryeditionlanguage
1995-12-15Physical Review D
https://doi.org/10.1103/physrevd.52.6831