Free Field Realization of Cylindrically Symmetric Einstein Gravity

Details Free Field Realization of Cylindrically Symmetric Einstein Gravity Free Field Realization of Cylindrically Symmetric Einstein Gravity

1998-02-27

arxiv.org/abs/gr-qc/9802067v3

Phys.Lett.B437:273-278,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figures, discussions on the dual metric and on the free-field expansion are added

Scientific paper

10.1016/S0370-2693(98)00904-6

Cylindrically reduced Einstein gravity can be regarded as an $SL(2,R)/SO(2)$ sigma model coupled to 2D dilaton gravity. By using the corresponding 2D diffeomorphism algebra of constraints and the asymptotic behaviour of the Ernst equation we show that the theory can be mapped by a canonical transformation into a set of free fields with a Minkowskian target space. We briefly discuss the quantization in terms of these free-field variables, which is considerably simpler than in the other approaches.

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