  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.
