https://doi.org/10.1140/epjc/s10052-019-7163-z
Regular Article - Theoretical Physics
Geometrization of gravito-electromagnetic interactions from boundary conditions in the variational principle
1
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 3350 (7600), Mar del Plata, Argentina
2
Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Buenos Aires, Argentina
* e-mail: mbellini@mdp.edu.ar
Received:
5
June
2019
Accepted:
21
July
2019
Published online:
7
August
2019
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 the electrodynamics and non-perturbative gravitational waves is considered in the extended manifold, when we vary the action.
© The Author(s), 2019
