Spacetimedependent Lagrangians and electrogravity duality
Abstract
We apply the spacetime dependent lagrangian formalism [1] to the action in general relativity. We obtain a BarriolaVilenkin 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.
 Publication:

Gravitation and Cosmology
 Pub Date:
 December 2007
 DOI:
 10.48550/arXiv.0710.3000
 arXiv:
 arXiv:0710.3000
 Bibcode:
 2007GrCo...13..285G
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics;
 High Energy Physics  Theory
 EPrint:
 4 pages, latex