Free-Field Realization of D-dimensional Cylindrical Gravitational Waves

Details Free-Field Realization of D-dimensional Cylindrical Gravitational Waves Free-Field Realization of D-dimensional Cylindrical Gravitational Waves

1999-11-02

arxiv.org/abs/gr-qc/9911004v1

Class.Quant.Grav.17:3807-3820,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, Latex

Scientific paper

10.1088/0264-9381/17/18/315

We find two-dimensional free-field variables for D-dimensional general relativity on spacetimes with D-2 commuting spacelike Killing vector fields and non-compact spatial sections for D>4. We show that there is a canonical transformation which maps the corresponding two-dimensional dilaton gravity theory into a two-dimensional diffeomorphism invariant theory of the free-field variables. We also show that the spacetime metric components can be expressed as asymptotic series in negative powers of the dilaton, with coefficients which can be determined in terms of the free fields.

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