2013/02/14 by D. H. Sattinger · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical field theory #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Einstein #General relativity #Gravitation #Gravitational field #Gravitational redshift #Mathematical physics #Parameterized post-Newtonian formalism #Physics #Quantum mechanics #Relativity and Gravitational Theory #Scalar theories of gravitation #Speed of gravity #Theoretical physics #Theory of relativity #physics.gen-ph
paper · pdf · doi:10.1007/s10884-013-9291-8
published as Journal of Dynamics and Differential Equations (Feb 2013) · 29 pages, 1 figure
openalex publication_date 2013/02/14 · arxiv created 2013/05/20 · arxiv updated 2013/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A mathematical derivation of Maxwell's equations for gravitation, based on a mathematical proof of Faraday's Law, is presented. The theory provides a linear, relativistic Lagrangian field theory of gravity in a weak field, and paves the way to a better understanding of the structure of the energy-momentum tensor in the Einstein Field Equations. Hence it is directly relevant to problems in modern cosmology. The derivation, independent of the perturbation theory of Einstein's equations, puts the gravitational and electromagnetic fields on an equal footing for weak fields, contrary to generally held views. The historical objections to a linear Lorentz invariant field theory of gravity are refuted for weak fields.