Cosmological solutions with Calabi-Yau compactification

K. Maeda

doi:10.1016/0370-2693(86)91155-X

Cosmological solutions with Calabi-Yau compactification

K. Maeda^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

80 Citations (Scopus)

Abstract

Assuming a Calabi-Yau compactification, cosmological solutions are presented in ten-dimensional, N=1 Yang-Mills supergravity theory with the curvature squared term (R²_{μνρ{variant}σ} -4R_μν² + 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.

Original language	English
Pages (from-to)	59-64
Number of pages	6
Journal	Physics Letters B
Volume	166
Issue number	1
DOIs	https://doi.org/10.1016/0370-2693(86)91155-X
Publication status	Published - 1986 Jan 2
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(86)91155-X

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abstract = "Assuming a Calabi-Yau compactification, cosmological solutions are presented in ten-dimensional, N=1 Yang-Mills supergravity theory with the curvature squared term (R2μνρ{variant}σ -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.",

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AB - Assuming a Calabi-Yau compactification, cosmological solutions are presented in ten-dimensional, N=1 Yang-Mills supergravity theory with the curvature squared term (R2μνρ{variant}σ -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.

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Cosmological solutions with Calabi-Yau compactification

Abstract

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