Exact (1 + 3 + 6)-Dimensional Cosmological-Type Solutions in Gravitational Model with Yang–Mills Field, Gauss–Bonnet Term and Λ Term

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×R3×K, where K is 6d 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+2h≠0. We also present static analogs of these cosmological solutions (for H≠0, h≠H, and H+2h≠0). The islands of stability for both classes of solutions are outlined.

Авторы
Журнал
Издательство
MDPI AG
Номер выпуска
4
Язык
Английский
Страницы
783
Статус
Опубликовано
Том
15
Год
2023
Организации
  • 1 Institute of Gravitation and Cosmology, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Street, Moscow 117198, Russia
  • 2 Center for Gravitation and Fundamental Metrology, VNIIMS, 46 Ozyornaya Street, Moscow 119361, Russia
  • 3 Institute for Nuclear Research of the Russian Academy of Sciences, Troitsk 142190, Russia
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