Asymptotic symmetry and conserved quantities in the Poincare gauge theory of gravity

Abstract

The structure of the generators of the asymptotic Poincare symmetry in the general R+T2+R2 theory of gravity is obtained by using the Hamiltonian formalism. It is shown that a correct treatment of the generators leads to the appearance of certain surface terms, which determine the values of the gravitational energy, momentum and angular momentum.