Variational approach to gravity field theories. From Newton to Einstein and beyond

DOI10.1007/978-3-319-51211-2zbMath1369.83001OpenAlexW4237712581MaRDI QIDQ511431

Alberto Vecchiato

Publication date: 15 February 2017

Published in: Undergraduate Lecture Notes in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-51211-2

zbMATH Keywords

variational approachcalculus of variationsdifferential geometryscalar-tensor theoriesequivalence principleLagrangian approachtensor algebrafield theorydeviations from General RelativityGeneral RelativityNewton's theoryprinciple of covariancerank 2-tensorscalar theorySpecial Relativity

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Special relativity (83A05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) History of relativity and gravitational theory (83-03) Physics (00A79) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to relativity and gravitational theory (83-01)

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