Artículos de revistas
Differential geometry, Palatini gravity and reduction
Fecha
2014-01Registro en:
Capriotti, Santiago; Differential geometry, Palatini gravity and reduction; American Institute Of Physics; Journal Of Mathematical Physics; 55; 1; 1-2014; 1-29
0022-2488
Autor
Capriotti, Santiago
Resumen
The present article deals with a formulation of the so called (vacuum) Palatini gravity as a general variational principle. In order to accomplish this goal, some geometrical tools related to the geometry of the bundle of connections of the frame bundle LM are used. A generalization of Lagrange-Poincare reduction scheme to these types of variational problems allows us to relate it with the Einstein-Hilbert variational problem. Relations with some other variational problems for gravity found in the literature are discussed.