Gravitational Phase Operator and Cosmic Strings

Details Gravitational Phase Operator and Cosmic Strings Gravitational Phase Operator and Cosmic Strings

1995-07-25

arxiv.org/abs/gr-qc/9507049v2

Phys.Rev. D53 (1996) 779-786

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, to be published Phys. Rev. D. Some minor changes have been made and a reference has been added to the paper of D.V.

Scientific paper

10.1103/PhysRevD.53.779

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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