2014/02/18 by Luis Santiago Ridao, Rodrigo Ávalos, Ridao, Luis Santiago +6
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Relativity and Gravitational Theory #Space Physics (physics.space-ph) #gr-qc #physics.space-ph
paper · pdf · doi:10.48550/arxiv.1402.4511
To be published in Can. J. Phys
openalex publication_date 2014/02/18 · arxiv created 2014/11/11 · arxiv updated 2014/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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, 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. Possible applications are not limited to these kinds of orbits.