2014/07/16 by Luis Santiago Ridao, Rodrigo Ávalos, Rodrigo Avalos +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Relativity and Gravitational Theory
paper · doi:10.1139/cjp-2014-0303
openalex publication_date 2014/07/16 · crossref created 2014/07/16 · crossref issued 2014/12/01 · crossref published 2014/12/01 · crossref published-print 2014/12/01 · crossref deposited 2025/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31 · crossref indexed 2026/07/31
We explore the geodesic movement on an effective four-dimensional hypersurface that is embedded in a five-dimensional Ricci-flat manifold described by a canonical metric, 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. Our results are in very good agreement with observations and show how the foliation is determinant to the value of the perihelion’s advances. Possible applications are not limited to these kinds of orbits.