OCTONIC GRAVITATIONAL FIELD EQUATIONS

DEMİR S., TANIŞLI M., TOLAN T.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, vol.28, no.21, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 21
  • Publication Date: 2013
  • Doi Number: 10.1142/s0217751x13501121
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Octons, Clifford algebra, gravitoelectromagnetism, Proca-Maxwell equation, LINEAR-EQUATIONS, HYPERBOLIC QUATERNIONS, FORMULATION, GRAVITY, ELECTRODYNAMICS, ALGEBRA, FORM
  • Anadolu University Affiliated: Yes

Abstract

Generalized field equations of linear gravity are formulated on the basis of octons. When compared to the other eight-component noncommutative hypercomplex number systems, it is demonstrated that associative octons with scalar, pseudoscalar, pseudovector and vector values present a convenient and capable tool to describe the Maxwell-Proca-like field equations of gravitoelectromagnetism in a compact and simple way. Introducing massive graviton and gravitomagnetic monopole terms, the generalized gravitational wave equation and Klein-Gordon equation for linear gravity are also developed.