Spacetime Dependent Lagrangians and Electrogravity Duality
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We apply the spacetime dependent lagrangian formalism [1] to the action in general relativity. We obtain a Barriola-Vilenkin type monopole solution by exploiting theelectrogravity duality of the vacuum Einstein equations and using a modified definition of empty space. An {\it upper bound} is obtained on the monopole mass ${\tt M}$, ${\tt M}\leq e^{(1-α)/α}/(1-α)^{2}{\tt G}$ where $α= 2k $ is the global monopole charge.
Keywords: global monopole, electrogravity duality, holographic principle.
PACS: 11.15.-q, 11.27.+d, 14.80.Hv, 04.
4 pages, latex
4 pages, latex