On multidimensional cosmological models with static internal space

Abstract

Multidimensional cosmological models with Einstein spaces are investigated. The cosmological constant and a homogeneous minimally coupled scalar field are considered as matter sources. The scalar field has a potential of general form depending on the scalar field as well as on the scale factors of the . The general condition of existence of the solutions with static internal spaces is obtained and applied to physically important cases.

Stabilization of internal spaces in multidimensional cosmology

“…Thus, stabilization of the internal spaces in such type of models is possible only when the effective potential has also a minimum with respect to the scalar field Φ (in Ref. [33] it was proved that for this model the only possible solutions with static internal spaces correspond to the case when the minimal coupled scalar field is in its extremum position too). Let Φ0 be the minimum position for field Φ.…”

Gravitational excitons from extra dimensions

“…is not specified and left in its general form, taking into account the Casimir effect [21], the Freund -Rubin monopole ansatz [6], a perfect fluid [42,43] or other hypothetical potentials [35,37]. In all these cases ρ depends on the external coordinates through the scale factors a i (x) = e β i (x) (i = 1, .…”

Precursor Evaluation for Cu-Supercritical Fluid Deposition Based on Adhesion Properties and Surface Morphology

“…. , n, [22,[182][183][184] that was also generalized to some other matter fields, e.g scalar one (see [185] and references therein).…”