Vacuum energy and inertial dragging

Mathematics – Logic

Scientific paper

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Scientific paper

We investigate if there is any inertial dragging effect associated with vacuum energy. Spacetime inside and outside a rotating thin shell, as well as the mechanical properties of the shell, are analyzed by means of Israel's general relativistic theory of surface layers. Our investigation generalizes that of Brill and Cohen, who found vacuum-solutions of Einstein's field equations (with vanishing cosmological constant), inside and outside a rotating shell. We include a nonvanishing vacuum-energy inside the shell. It is found that the inertial dragging angular velocity increases with increasing density of vacuum energy.

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