Derivation of Source-Free Maxwell and Gravitational Radiation Equations by Group Theoretical Methods

Details Derivation of Source-Free Maxwell and Gravitational Radiation Equations by Group Theoretical Methods Derivation of Source-Free Maxwell and Gravitational Radiation Equations by Group Theoretical Methods

2006-04-05

arxiv.org/abs/gr-qc/0604023v1

Int.J.Mod.Phys. D15 (2006) 505-520

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, no figures, to appear in Int. J. Mod. Phys. D

Scientific paper

10.1142/S021827180600822X

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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