Quantum Effects of a Vortex Gravitational Field and the Torsion of Spacetime

Abstract

Possible quantum effects, induced by the torsion of spacetime described by its pseudotrace \( {\overset{\smile }{Q}}^i=\frac{1}{6}{\upvarepsilon}^{iklm}{Q}_{klm} \), and by a vortex gravitational field described by its angular velocity \( {\upomega}^i=\frac{1}{2}{\upvarepsilon}^{iklm}{e}_{ak}{e}_{lm}^a \) of rotation of the tetrad field \( {e}_a^k\left({x}^i\right) \), are considered. Toward this end, the vacuum averages \( <0\left|{T}_k^i\right|0> \) of the energy-momentum tensor \( {T}_k^i \) of the quantized scalar field are calculated. A thorough-going analogy between physical effects induced by these two physical objects is revealed both on the classical and on the quantum level.