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- Title
Exact (1 + 3 + 6)-Dimensional Cosmological-Type Solutions in Gravitational Model with Yang–Mills Field, Gauss–Bonnet Term and Λ Term.
- Authors
Ivashchuk, V. D.; Ernazarov, K. K.; Kobtsev, A. A.
- Abstract
We consider a 10-dimensional gravitational model with an SO(6)Yang–Mills field, Gauss–Bonnet term, and Λ term. We study so-called cosmological-type solutions defined on the product manifold M = R × R 3 × K , where K is 6 d a Calabi–Yau manifold. By setting the gauge field 1-form to coincide with the 1-form spin connection on K, we obtain exact cosmological solutions with exponential dependence of scale factors (upon t-variable) governed by two non-coinciding Hubble-like parameters: H > 0 and h obeying H + 2 h ≠ 0 . We also present static analogs of these cosmological solutions (for H ≠ 0 , h ≠ H , and H + 2 h ≠ 0 ). The islands of stability for both classes of solutions are outlined.
- Subjects
CALABI-Yau manifolds; GRAVITATIONAL potential; DARK energy
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 4, p783
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15040783