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Journal Article

Hyperbolic Weyl groups and the four normed division algebras

MPS-Authors

Feingold,  Alex J.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Kleinschmidt,  Axel
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Nicolai,  Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

0805.3018v1.pdf
(Preprint), 543KB

JofAlgebra322_1295.pdf
(Any fulltext), 477KB

Supplementary Material (public)
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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.