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DERIVATION OF THE SOURCE-FREE MAXWELL AND GRAVITATIONAL RADIATION EQUATIONS BY GROUP THEORETICAL METHODS
Journal article   Open access   Peer reviewed

DERIVATION OF THE SOURCE-FREE MAXWELL AND GRAVITATIONAL RADIATION EQUATIONS BY GROUP THEORETICAL METHODS

JAIRZINHO Ramos and ROBERT Gilmore
International journal of modern physics. D, Gravitation, astrophysics, cosmology, v 15(4), pp 505-519
Apr 2006
url
https://arxiv.org/abs/gr-qc/0604023View

Abstract

gravitoelectromagnetism gravitational radiation Lorentz group
We derive source-free Maxwell-like equations in flat space–time for any helicity j by comparing the transformation properties of the 2(2j+1) states that carry the manifestly covariant representations of the inhomogeneous Lorentz group with the transformation properties of the two helicity j states that carry the irreducible representations of this group. The set of constraints so derived involves a pair of curl equations and a pair of divergence equations. These reduce to the free-field Maxwell equations for j = 1 and the analogous equations coupling the gravito-electric and the gravito-magnetic fields for j = 2.

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Astronomy & Astrophysics
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