On the Einstein-Maxwell equations for a 'stiff' membrane

Hartley, D. H. and Onder, M. and Tucker, Robin (1989) On the Einstein-Maxwell equations for a 'stiff' membrane. Classical and Quantum Gravity, 6 (9). pp. 1301-1309. ISSN 0264-9381

Abstract

The Einstein-Maxwell equations are examined for a distributional stress tensor depending on the mean shape of an immersion in a manifold with a piecewise smooth metric tensor. A solution is discussed that matches an exterior Reissner-Nordstrom metric to an interior Minkowski metric. Such a solution extends the Dirac particle model to incorporate both gravitational and electromagnetic interactions.