Introduction to Einstein-Maxwell equations and the Rainich conditions

Abstract

The first results of Einstein-Maxwell equations established by Raincih in 1925 are therefore called the Raincih conditions. Later the result was rediscovered by Misner and Wheeler in 1957 and made the basis of their geometrodynamics. The present survey will consider didactically the curvature of spacetime attributed to an electromagnetic field with conceptual and calculational details.

arXiv comment28 pages

References in corpus (1)

• All homogeneous pure radiation spacetimes satisfy the Einstein-Maxwell equations

Cited by in corpus (5)

• Essential core of the Hawking--Ellis types
• Generalized Rainich conditions, generalized stress-energy conditions, and the Hawking-Ellis classification
• The Maxwell-Chern-Simons gravity and its cosmological implications
• Bivectors in Newman-Penrose formalism in General Relativity -- from electromagnetism to Weyl curvature tensor
• Curvature Spinors in Locally Inertial Frame and the Relations with Sedenion