Stable exponential cosmological solutions with three factor spaces in (1 + 3 + 3 + k)-dimensional Einstein–Gauss–Bonnet model with a Λ-term

2019/04/08 by K. K. Ernazarov
Physics and Astronomy · #Advanced Differential Geometry Research #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Constant (computer programming) #Cosmological constant #Cosmological model #Cosmology #Cosmology and Gravitation Theories #Dark energy #Einstein #Exponential function #Gauss–Bonnet theorem #General relativity #Gravitation #Gravitational constant #Hubble's law #Lambda-CDM model #Mathematical analysis #Mathematical physics #Physics #Quantum mechanics #Term (time) #Theoretical physics #Zero (linguistics) #gr-qc

paper · pdf · doi:10.1142/s0217732319501116

published in Modern Physics Letters A 34(14), 1950111 (World Scientific) · 17 pages, Latex, no figures

openalex publication_date 2019/04/08 · arxiv created 2019/05/16 · arxiv updated 2019/05/22 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05

Abstract

We consider a (7 + k)-dimensional Einstein–Gauss–Bonnet (EGB) model with the cosmological [Formula: see text]-term. A cosmological model with three factor spaces of dimensions 3, 3 and k, k[Formula: see text]2 is considered. Exact stable solutions with three (non-coinciding) Hubble-like parameters in these models are obtained. Some examples of solutions (e.g. with zero variation of the effective gravitational constant G) are considered in selected dimensions (for k = 5, 6).

Citations

• Stationary vs. singular points in an accelerating FRW cosmology derived from six-dimensional Einstein–Gauss–Bonnet gravity
• The Four-Dimensionality of Space and the Einstein Tensor
• Dilatonic Black Holes with Gauss-Bonnet Term
• Gauss-Bonnet black holes in AdS spaces
• On stable exponential solutions in Einstein–Gauss–Bonnet cosmology with zero variation of G