Two-Dilaton Theories in Two Dimensions from Dimensional Reduction

Details Two-Dilaton Theories in Two Dimensions from Dimensional Reduction Two-Dilaton Theories in Two Dimensions from Dimensional Reduction

2000-05-23

arxiv.org/abs/gr-qc/0005098v2

Annals Phys. 290 (2001) 69-82

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 1 table

Scientific paper

10.1006/aphy.2001.6149

Dimensional reduction of generalized gravity theories or string theories generically yields dilaton fields in the lower-dimensional effective theory. Thus at the level of D=4 theories, and cosmology many models contain more than just one scalar field (e.g. inflaton, Higgs, quintessence). Our present work is restricted to two-dimensional gravity theories with only two dilatons which nevertheless allow a large class of physical applications. The notions of factorizability, simplicity and conformal simplicity, Einstein form and Jordan form are the basis of an adequate classification. We show that practically all physically motivated models belong either to the class of factorizable simple theories (e.g. dimensionally reduced gravity, bosonic string) or to factorizable conformally simple theories (e.g. spherically reduced Scalar-Tensor theories). For these theories a first order formulation is constructed straightforwardly. As a consequence an absolute conservation law can be established.

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