Derivation of Source-Free Maxwell and Gravitational Radiation Equations by Group Theoretical Methods
نویسنده
چکیده
We derive source-free Maxwell-like equations in flat spacetime 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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