Fe b 19 98 Darboux coordinates for ( first order ) tetrad gravity
نویسنده
چکیده
The Hamiltonian form of the Hilbert action in the first order tetrad formalism is examined. We perform a non-linear field redefinition of the canonical variables isolating the part of the spin connection which is canonically conjugate to the tetrad. The geometrical meaning of the constraints written in these new variables is examined.
منابع مشابه
Darboux coordinates for (first order) tetrad gravity
The Hamiltonian form of the Hilbert action in the first order tetrad formalism is examined. We perform a non-linear field redefinition of the canonical variables isolating the part of the spin connection which is canonically conjugate to the tetrad. The geometrical meaning of the constraints written in these new variables is examined.
متن کاملDarboux Coordinates for ((rst Order) Tetrad Gravity Mm Aximo Ba~ Nados
The Hamiltonian form of the Hilbert action in the rst order tetrad formalism is examined. We perform a non-linear eld redeenition of the canonical variables isolating the part of the spin connection which is canonically conjugate to the tetrad. The geometrical meaning of the constraints written in these new variables is examined.
متن کاملJa n 19 99 Tetrad Gravity : II ) Dirac ’ s Observables
After a study of the Hamiltonian group of gauge transformations, whose infinitesimal generators are the 14 first class constraints of a new formulation of canonical tetrad gravity on globally hyperbolic, asymptotically flat at spatial infinity, spacetimes with simultaneity spacelike hypersurfaces Στ diffeomorphic to R3, the multitemporal equations associated with the constraints generating spac...
متن کاملComments on the Tetrad (Vielbeins)
We want to correct the misunderstandings on the tetrad (or veilbeins in general) appeared in many text books or review articles. The tetrad should be defined without any condition. eμa = ∂μXa with local Lorentz coordinates Xa ia wrong in many sences: it gives the condition ∂μeνa = ∂νeμa, which leads us to the trivial result that the cyclic coefficients vanish identically and to the null Riemann...
متن کاملv 2 2 5 Ja n 19 99 Tetrad Gravity : I ) A New Formulation
A new version of tetrad gravity in globally hyperbolic, asymptotically flat at spatial infinity spacetimes with Cauchy surfaces diffeomorphic to R3 is obtained by using a new parametrization of arbitrary cotetrads to define a set of configurational variables to be used in the ADM metric action. Seven of the fourteen first class constraints have the form of the vanishing of canonical momenta. A ...
متن کامل