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Electrically charged systems bound by a strong gravitational force cansustain a huge amount of electric charge (up to 10^20C) against Coulombrepulsion. General relativistically such systems form a stable hydrostaticconfiguration both in the non-rotating and rotating cases. Here we study theeffects of electric charge (electric energy density) on the spacetime outside arotating electrically charged system bound by a strong gravitational force. Inparticular we investigate the effect of charge density on frame-dragging ofspacetime in the exterior region. Using the coupled Einstein-Maxwell equationsit is found that in the slow rotation approximation charge accumulations notonly acts like an additional mass, thus modifying the spherically symmetricpart of the spacetime, the electric charge also contributes directly to thedragging of spacetime. A modified Lense-Thirring formula for the spacetimeframe dragging frequency is obtained.

Does Charge Contribute to the Frame Dragging of Spacetime?