Artículo
Hamiltonian formulation of teleparallel gravity
Fecha de publicación:
11/2016
Editorial:
American Physical Society
Revista:
Physical Review D: Particles, Fields, Gravitation and Cosmology
ISSN:
1550-7998
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
The Hamiltonian formulation of the teleparallel equivalent of general relativity is developed from an ordinary second-order Lagrangian, which is written as a quadratic form of the coefficients of anholonomy of the orthonormal frames (vielbeins). We analyze the structure of eigenvalues of the multi-index matrix entering the (linear) relation between canonical velocities and momenta to obtain the set of primary constraints. The canonical Hamiltonian is then built with the Moore Penrose pseudoinverse of that matrix. The set of constraints, including the subsequent secondary constraints, completes a first-class algebra. This means that all of them generate gauge transformations. The gauge freedoms are basically the diffeomorphisms and the (local) Lorentz transformations of the vielbein. In particular, the Arnowitt, Deser, and Misner algebra of general relativity is recovered as a subalgebra.
Palabras clave:
Teleparallel Gravity
,
Hamiltonian Formalism
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(IAFE)
Articulos de INST.DE ASTRONOMIA Y FISICA DEL ESPACIO(I)
Articulos de INST.DE ASTRONOMIA Y FISICA DEL ESPACIO(I)
Citación
Ferraro, Rafael; Guzmán Monsalve, María José; Hamiltonian formulation of teleparallel gravity; American Physical Society; Physical Review D: Particles, Fields, Gravitation and Cosmology; 94; 10; 11-2016; 1-14; 104045
Compartir
Altmétricas