Cosmological solutions with Calabi-Yau compactification

Details Cosmological solutions with Calabi-Yau compactification Cosmological solutions with Calabi-Yau compactification

Jan 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phlb..166...59m&link_type=abstract

Physics Letters B, Volume 166, Issue 1, p. 59-64.

Physics

76

Scientific paper

Assuming a Calabi-Yau compactification, cosmological solutions are presented in ten-dimensional, N=1 Yang-Mills supergravity theory with the curvature squared term (R2μνϱσ -4Rμν2 + R2). In a vacuum state, Kasner-type soluti ons exist as well as (four-dimensional Minkoswki space-time)×(a Calabi-Yau space). In the later stage of the universe the (four-dimensional Friedmann universe)×(a constant Calabi-Yau space) is realized asymptotically like an attractor. This solution is asymptotically stable against small perturbations.
The author would like to thank P. Candelas, T. Futamase, H. Ishihara, H. Nishino and C.E. Vayonakis for useful discussions. He also acknowledges Professor H. Sato for hospitality at the Research Institute for Fundamental Physics, Kyoto University, where part of this work was done, and Professor N. Dallaporta and Professor D.W. Sciama for their kind hospitality at the SISSA.

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