Perihelion advances for the orbits of Mercury, Earth and Pluto from Extended Theory of General Relativity (ETGR)

SANTIAGO RIDAO; RODRIGO AVALOS; MARTÍN DANIEL DE CICCO; MAURICIO BELLINI

CANADIAN JOURNAL OF PHYSICS

NATL RESEARCH COUNCIL CANADA-N R C RESEARCH PRESS

Lugar: Otawa; Año: 2014 vol. 92 p. 1709 - 1713

0008-4204

We explore the geodesic movement on a effective 4D hypersurface which is embedded in a 5D Ricci-flat Manifold described by a canonical metric, in order to applying to planetary orbits in our solar system. Some important solutions are given, which provide the standard solutions of General Relativity without any extra force component. We study the perihelion advances of Mercury, the Earth and Pluto using the Extended Theory of General Relativity (ETGR). Our results are in very good agreement with observations and show how the foliation is determinant to the value of the perihelion´s advances. The possible applications are not limited to these kinds of orbits.