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Journal Article

#### Hyperbolic Weyl groups and the four normed division algebras

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##### Fulltext (public)

0805.3018v1.pdf

(Preprint), 543KB

JofAlgebra322_1295.pdf

(Any fulltext), 477KB

##### Supplementary Material (public)

There is no public supplementary material available

##### Citation

Feingold, A. J., Kleinschmidt, A., & Nicolai, H. (2009). Hyperbolic Weyl groups
and the four normed division algebras.* Journal of Algebra,* *322*:
104010, pp. 1295-1339. doi:10.1016/j.jalgebra.2009.05.006.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-61E6-3

##### Abstract

Two first order strongly hyperbolic formulations of scalar-tensor theories of gravity allowing nonminimal couplings (Jordan frame) are presented along the lines of the 3+1 decomposition of spacetime. One is based on the Bona-Massó formulation, while the other one employs a conformal decomposition similar to that of Baumgarte-Shapiro-Shibata-Nakamura. A modified Bona-Massó slicing condition adapted to the scalar-tensor theory is proposed for the analysis. This study confirms that the scalar-tensor theory has a well-posed Cauchy problem even when formulated in the Jordan frame.