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arXiv · gr-qc/9507049

Gravitational Phase Operator and Cosmic Strings

J. Anandan
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Abstract

A quantum equivalence principle is formulated by means of a gravitational phase operator which is an element of the Poincare group. This is applied to the spinning cosmic string which suggests that it may (but not necessarily) contain gravitational torsion. A new exact solution of the Einstein- Cartan-Sciama-Kibble equations for the gravitational field with torsion is obtained everywhere for a cosmic string with uniform energy density, spin density and flux. A novel effect due to the quantized gravitational field of the cosmic string on the wave function of a particle outside the string is used to argue that spacetime points are not meaningful in quantum gravity.

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J. Anandan. 1995-12-14. Gravitational Phase Operator and Cosmic Strings. https://doi.org/10.1103/physrevd.53.779

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