2012/10/03 by Xavier Jaén, A. Molina, Alfred Molina
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Classical field theory #Classical mechanics #Cosmology and Gravitation Theories #Differential geometry #Equivalence (formal languages) #Equivalence principle (geometric) #Four-force #General relativity #Gravitation #Inertial frame of reference #Limit (mathematics) #Mathematical analysis #Mathematics #Newtonian fluid #Newtonian limit #Newtonian potential #Parameterized post-Newtonian formalism #Physics #Pure mathematics #Relativity and Gravitational Theory #Scalar theories of gravitation #Theoretical physics #Theory of relativity #gr-qc
paper · pdf · doi:10.1007/s10714-013-1542-9
7 pages
arxiv created 2012/10/03 · openalex publication_date 2013/05/14 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We try to lay down the foundations of a Newtonian theory where inertia and gravitational fields appear in a unified way aiming to reach a better understanding of the general relativistic theory. We also formulate a kind of equivalence principle for this generalized Newtonian theory. Finally we find the non-relativistic limit of the Einstein's equations for the space--time metric derived from the Newtonian theory.