Spacetime Dependent Lagrangians and Electrogravity Duality

Details Spacetime Dependent Lagrangians and Electrogravity Duality Spacetime Dependent Lagrangians and Electrogravity Duality

2007-10-16

arxiv.org/abs/0710.3000v1

Grav.Cosmol.13:285-289,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, latex

Scientific paper

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 ${\tt M}$, ${\tt M}\leq e^{(1-\alpha)/\alpha}/(1-\alpha)^{2}{\tt G}$ where $\alpha = 2k $ is the global monopole charge. Keywords: global monopole, electrogravity duality, holographic principle. PACS: 11.15.-q, 11.27.+d, 14.80.Hv, 04.

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