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    • Space-time algebra for the generalization of gravitational field equations

      Süleyman Demir

      Volume 80 Issue 5 May 2013 pp 811-823

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/080/05/0811-0823

    • Keywords

       

      Gravitoelectromagnetism; field equation; Maxwell–Proca equation; monopole; space-time algebra; Clifford algebra.

    • Abstract

       

      The Maxwell–Proca-like field equations of gravitolectromagnetism are formulated using space-time algebra (STA). The gravitational wave equation with massive gravitons and gravitomagnetic monopoles has been derived in terms of this algebra. Using space-time algebra, the most generalized form of gravitoelectromagnetic Klein–Gordon equation has been obtained. Finally, the analogy in formulation between massive gravitational theory and electromagnetism has been discussed.

    • Author Affiliations

       

      Süleyman Demir1

      1. Department of Physics, Science Faculty, Anadolu University, 26470 Eskişehir, Turkey

    • Dates

       
      Published
      May 2013
      Manuscript received
      23 March 2012
      Manuscript revised
      10 October 2012
      Accepted
      16 November 2012

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