Gowdy cosmology and two-dimensional gravity

Details Gowdy cosmology and two-dimensional gravity Gowdy cosmology and two-dimensional gravity

Feb 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrvd..43.1199m&link_type=abstract

Physical Review D (Particles and Fields), Volume 43, Issue 4, 15 February 1991, pp.1199-1211

Mathematics

Logic

4

Scientific paper

We obtain the Gowdy cosmology by compactifying (3+1)-dimensional general relativity on a two-torus T2. We fix the conformal gauge in the resulting effective (1+1)-dimensional theory and show that it is equivalent to a nonlinear σ model with a background minisuperspace metric and a background minisuperspace dilaton field. We generalize the Gowdy model by introducing a nonzero cosmological constant and nonzero θ angle and show that it is equivalent to a nonlinear σ model with a background minisuperspace tachyon field and a background minisuperspace antisymmetric tensor field, respectively. The minisuperspace backgrounds do not lead to vanishing β functions; in some cases, however, it is possible to shift the minisuperspace dilaton field to obtain vanishing β functions in a manner similar to that of the Liouville model.

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