The algebraic Rainich conditions

Details The algebraic Rainich conditions The algebraic Rainich conditions

Mar 1973

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1973gregr...4..149l&link_type=abstract

General Relativity and Gravitation, Volume 4, Issue 2, pp.149-159

Physics

2

Scientific paper

It is well known that the Einstein-Maxwell field eguations are the Euler-Lagrange equations associated with a particular Lagrange density. It is also well known that, in a four-dimensional space, the Einstein-Maxwell field equations give rise to the Rainich conditions (which can be divided into two types, the algebraic and the differential Rainich conditions). In this note it is shown that the algebraic Rainich conditions are inevitably the consequence of every Euler-Lagrange equation associated with each member of a special class of Lagrange densities. However, in general, these Euler-Lagrange equations are not the Einstein-Maxwell field equations, although the Lagrange density associated with the latter is a particular member of this class.

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