Two-Dilaton Theories in Two Dimensions from Dimensional Reduction

Abstract

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.

23 pages, 1 table

References in corpus (4)

• String Model with Dynamical Geometry and Torsion
• Hawking radiation from dilaton gravity in 1 + 1 dimensions: a pedagogical review
• The virtual black hole in 2d quantum gravity
• Quantum gravity corrections to the Schwarzschild mass

Cited by in corpus (8)

• Dilaton Gravity in Two Dimensions
• Hawking radiation of nonsingular black holes in two dimensions
• Long time black hole evaporation with bounded Hawking flux
• On static solutions in 2D dilaton gravity with scalar matter
• IR Renormalisation of General Effective Actions and Hawking Flux in 2D Gravity Theories
• 2D gravity without test particles is pointless (Comment on hep-th/0011136)
• Two-dimensional (bi-)scalar gravities from four-dimensional Horndeski
• AdS black holes in two-dimensional dilaton gravity and holography