Geometrization of gravito-electromagnetic interactions from boundary conditions in the variational principle

JESÚS MARTÍN ROMERO; LUIS SANTIAGO RIDAO; MAURICIO BELLINI

EUROPEAN PHYSICAL JOURNAL C - PARTICLES AND FIELDS

SPRINGER

Lugar: Berlin; Año: 2019 vol. 79 p. 651 - 656

1434-6044

We study the conditions of integrability when the boundary terms are considered in the variation of the geometric contribution of the Einstein-Hilbert action. We explore the emergent physical dynamics that is obtained when we make a displacement from a background Riemann manifold to an extended one, on which the non-metricity is nonzero. Under these circumstances, a classical description of electrodynamics and non-perturbative gravitational waves are considered in the extended manifold, when we variate the action.