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

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Einstein Equations, Gravitation Theory, Maxwell Equation, Equations Of Motion, Manifolds (Mathematics), Minkowski Space, Stress Tensors

Scientific paper

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.

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