50
views
0
recommends
+1 Recommend
1 collections
    0
    shares
       
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Relativistic Maxwell Theory and Einstein Field Equation derived from Variational Principle

      Preprint
      In review
      research-article
        1 ,
      ScienceOpen Preprints
      ScienceOpen
      Varitional Principle, Maxwell's field equation, Einstein's field equation, Hilbert Action, Special relativity
      Bookmark

            Abstract

            In this article, I'll be reviewing relativistic mechanisms using the calculus of variation in the classical limit. The variational principle is considered to be one of the most important mechanisms to build a theory. Newton's second law of motion is a consequence of Euler-Lagrange equations which gives the least (or stationary) trajectory of a particle between any two arbitrary points. I'll the use action principle by deriving the relativistic Maxwell's field equation, geodesic equation, and Einstein's field equation.

            Content

            Author and article information

            Journal
            ScienceOpen Preprints
            ScienceOpen
            11 November 2021
            Affiliations
            [1 ] Independent researcher
            Author notes
            Article
            10.14293/S2199-1006.1.SOR-.PPDWFUG.v1
            405ab2b2-f10e-4b47-b2a8-95cc4cd2b553

            This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .


            All data generated or analysed during this study are included in this published article (and its supplementary information files).
            Mathematical physics,General physics,Theoretical physics
            Hilbert Action,Einstein's field equation,Varitional Principle,Maxwell's field equation,Special relativity

            Comments

            Comment on this article