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Alcubierre and B. Rev. D63, 104006 (2001). 7. D. L. J. Rev. D69, 104016 (2004). 8. G. Yoneda, H. Rev. D66, 124003 (2002). Cosmology Integrable Cosmological Models in D D and Variations of Fundamental Constants V. N. ru Discovery of present acceleration of the Universe, dark matter and dark energy problems are great challenges to modern physics, which may bring to a new revolution. Integrable multidimensional models of gravitation and cosmology make up one of the proper approaches to study basic issues and, in particular, strong field objects, the Early and present Universe and black hole physics 1>2.

Jorg Frauendiener. Conformal infinity. Living Rev. Relativity, 7, 2004. [Online article]. URL h t t p : / / w w w . l i v i n g r e v i e w s . o r g / l r r - 2 0 0 4 - l . 7. Jeffrey Winicour. Characteristic evolution and matching. Living Rev. Relativity, 8, 2005. URL h t t p : / / w w w . l i v i n g r e v i e w s . o r g / l r r - 2 0 0 5 - 1 0 . [Online article]. 8. Charles W. Misner. Hyperboloidal slices and artificial cosmology for numerical relativity. In James T Liu, Michael J Duff, Kellogg S Stelle, and Richard P Woodard, editors, DESERFEST: A Celebration of the Life and Works of Stanley Deser, pages 180-192.

H. A. Chan and H. J. Paik, Phys. Rev. D 35, 3551 (1987). M. V. Moody, E. R. Canavan and H. J. Paik, Rev. Sci. Instrum. 73, 3957 (2002). 15. H. B. G. Casimir, Proc. K. Ned. Akad. Wet. 5 1 , 834 (793). 16. S. K. Lamoreaux, Phys. Rev. Lett. 78, 5 (1997). Numerical Relativity A New Generalized Harmonic Evolution S y s t e m Lee Lindblom 1 , Mark A. Scheel 1 , Lawrence E. Kidder 2 , Robert Owen 1 , and Oliver Rinne 1 Theoretical Astrophysics 130-33, California Institute Pasadena, 2 Center for Radiophysics of Technology CA 91125, USA and Space Research, Cornell University Ithaca, NY 14853 USA This note describes recent work on finding a formulation of the Einstein equations suitable for constructing stable numerical evolutions.

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