Volume 3 PROGRESS IN PHYSICS The Algebraic Rainich Conditions

José Héctor, Caltenco Franca, José Luis López-Bonilla, Raúl Peña-Rivero
2007 unpublished
In the literature, the algebraic Rainich conditions are obtained using special methods such as spinors, duality rotations, an eigenvalue problem for certain 4 × 4 matrices or artificial tensors of 4th order. We give here an elementary procedure for deducing an identity satisfied by a determined class of second order tensors in arbitrary 4 , from which the Rainich expressions are immediately obtained.