280 research outputs found
ΠΠ½Π°ΡΠ΅Π½ΠΈΠ΅ ΡΡΠΎΡΠΎΠΌΠ΅ΡΠ°Π±ΠΎΠ»ΠΈΡΠ΅ΡΠΊΠΎΠΉ Π΄Π΅ΡΡΠ΅Π»ΡΠ½ΠΎΡΡΠΈ ΠΌΠ»Π΅ΠΊΠΎΠΏΠΈΡΠ°ΡΡΠΈΡ Π² ΠΏΡΠΎΡΠ΅ΡΡΠ΅ ΡΠ°ΠΌΠΎΠΎΡΠΈΡΡΠΊΠΈ ΠΏΠΎΡΠ² ΠΏΡΠΈ Π°Π½ΡΡΠΎΠΏΠΎΠ³Π΅Π½Π½ΠΎΠΌ Π·Π°Π³ΡΡΠ·Π½Π΅Π½ΠΈΠΈ
The influencing of elk and roe deer excrements on radionuckleids migration in the soil horizon under zinc pollution circumstances has been investigated. It is confirmed that mammals excretory activity is an important acting natural ecological factor further radionuckleids quickly redistribution in the soil thus reducing the level of radioactivity and heavy metalsΒ ΠΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½ΠΎ Π²ΠΏΠ»ΠΈΠ² Π΅ΠΊΡΠΊΡΠ΅ΡΡΠΉ Π»ΠΎΡΡ ΠΈ ΠΊΠΎΠ·ΡΠ»Ρ Π½Π° ΠΌΡΠ³ΡΠ°ΡΡΡ ΡΠ°Π΄ΡΠΎΠ½ΡΠΊΠ»ΡΠ΄ΡΠ² ΠΏΠΎ Π³ΡΡΠ½ΡΠΎΠ²ΠΈΡ
Π³ΠΎΡΠΈΠ·ΠΎΠ½ΡΠ°Ρ
Π·Π° ΡΠΌΠΎΠ² ΡΡ
Π·Π°Π±ΡΡΠ΄Π½Π΅Π½Π½Ρ Π²Π°ΠΆΠΊΠΈΠΌΠΈ ΠΌΠ΅ΡΠ°Π»Π°ΠΌΠΈ. ΠΡΠ΄ΡΠ²Π΅ΡΠ΄ΠΆΠ΅Π½ΠΎ, ΡΠΎ Π΅ΠΊΡΠΊΡΠ΅ΡΠΎΡΠ½Π° Π΄ΡΡΠ»ΡΠ½ΡΡΡΡ ΡΡΠ°Π²ΡΡΠ² Ρ Π²Π°ΠΆΠ»ΠΈΠ²ΠΈΠΌ ΠΏΡΠΈΡΠΎΠ΄Π½ΠΈΠΌ Π΅ΠΊΠΎΠ»ΠΎΠ³ΡΡΠ½ΠΈΠΌ ΡΠ°ΠΊΡΠΎΡΠΎΠΌ, ΡΠΎ ΡΠΏΡΠΈΡΡ Π±ΡΠ»ΡΡ Π°ΠΊΡΠΈΠ²Π½ΠΎΠΌΡ ΠΏΠ΅ΡΠ΅ΡΠΎΠ·ΠΏΠΎΠ΄ΡΠ»Ρ ΡΠ°Π΄ΡΠΎΠ½ΡΠΊΠ»ΠΈΠ΄ΡΠ² Ρ Π³ΡΡΠ½ΡΡ, Π·ΠΌΠ΅Π½ΡΡΡΡΠΈ ΡΡΠ²Π΅Π½Ρ ΡΠ°Π΄ΡΠΎΠ°ΠΊΡΠΈΠ²Π½ΠΎΡΡΡ ΡΠ° Π²ΠΏΠ»ΠΈΠ² Π²Π°ΠΆΠΊΠΈΡ
ΠΌΠ΅ΡΠ°Π»ΡΠ².ΠΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½ΠΎ Π²ΠΏΠ»ΠΈΠ² Π΅ΠΊΡΠΊΡΠ΅ΡΡΠΉ Π»ΠΎΡΡ ΠΈ ΠΊΠΎΠ·ΡΠ»Ρ Π½Π° ΠΌΡΠ³ΡΠ°ΡΡΡ ΡΠ°Π΄ΡΠΎΠ½ΡΠΊΠ»ΡΠ΄ΡΠ² ΠΏΠΎ Π³ΡΡΠ½ΡΠΎΠ²ΠΈΡ
Π³ΠΎΡΠΈΠ·ΠΎΠ½ΡΠ°Ρ
Π·Π° ΡΠΌΠΎΠ² ΡΡ
Π·Π°Π±ΡΡΠ΄Π½Π΅Π½Π½Ρ Π²Π°ΠΆΠΊΠΈΠΌΠΈ ΠΌΠ΅ΡΠ°Π»Π°ΠΌΠΈ. ΠΡΠ΄ΡΠ²Π΅ΡΠ΄ΠΆΠ΅Π½ΠΎ, ΡΠΎ Π΅ΠΊΡΠΊΡΠ΅ΡΠΎΡΠ½Π° Π΄ΡΡΠ»ΡΠ½ΡΡΡΡ ΡΡΠ°Π²ΡΡΠ² Ρ Π²Π°ΠΆΠ»ΠΈΠ²ΠΈΠΌ ΠΏΡΠΈΡΠΎΠ΄Π½ΠΈΠΌ Π΅ΠΊΠΎΠ»ΠΎΠ³ΡΡΠ½ΠΈΠΌ ΡΠ°ΠΊΡΠΎΡΠΎΠΌ, ΡΠΎ ΡΠΏΡΠΈΡΡ Π±ΡΠ»ΡΡ Π°ΠΊΡΠΈΠ²Π½ΠΎΠΌΡ ΠΏΠ΅ΡΠ΅ΡΠΎΠ·ΠΏΠΎΠ΄ΡΠ»Ρ ΡΠ°Π΄ΡΠΎΠ½ΡΠΊΠ»ΠΈΠ΄ΡΠ² Ρ Π³ΡΡΠ½ΡΡ, Π·ΠΌΠ΅Π½ΡΡΡΡΠΈ ΡΡΠ²Π΅Π½Ρ ΡΠ°Π΄ΡΠΎΠ°ΠΊΡΠΈΠ²Π½ΠΎΡΡΡ ΡΠ° Π²ΠΏΠ»ΠΈΠ² Π²Π°ΠΆΠΊΠΈΡ
ΠΌΠ΅ΡΠ°Π»ΡΠ²
Integrable Multicomponent Perfect Fluid Multidimensional Cosmology II: Scalar Fields
We consider anisotropic cosmological models with an universe of dimension 4
or more, factorized into n>1 Ricci-flat spaces, containing an m-component
perfect fluid of m non-interacting homogeneous minimally coupled scalar fields
under special conditions. We describe the dynamics of the universe: It has a
Kasner-like behaviour near the singularity and isotropizes during the expansion
to infinity.
Some of the considered models are integrable, and classical as well as
quantum solutions are found. Some solutions produce inflation from "nothing".
There exist classical asymptotically anti-de Sitter wormholes, and quantum
wormholes with discrete spectrum.Comment: 28 pages, LaTeX, subm. to Gen. Rel. Gra
Woodworking facilities: Driving efficiency through Automation applied to major process steps
The investment scenario applied to forestry development analyzes the fundamental changes in the production structure, among other things. These changes refer to the priority development of the pulp and paper industry through the chain of large-scale woodworking facilities, where pulp, paper and cardboard manufacturing plants are the key links. Such facilities include sawmilling facilities, wood-processing factories, and timber factories. Those provide a significant economic benefit, so improving them is one of the top priorities. Considering this priority is the purpose of this article. The goal was achieved using common and scientific research methods, including mathematical modeling. Theoretical research resulted in three sets of formulas adapted for evaluating the pulpwood barking from theoretical findings on image recognition. Β© 2018 Authors
On new gravitational instantons describing creation of brane-worlds
By considering 5--dimensional cosmological models with a bulk filled with a
pressureless scalar field; equivalently dust matter, and a negative
cosmological constant, we have found a regular instantonic solution which is
free from any singularity at the origin of the extra--coordinate. This
instanton describes 5--dimensional asymptotically anti de Sitter wormhole, when
the bulk has a topology R times S^4. Compactified brane-world instantons which
are built up from such instantonic solution describe either a single brane or a
string of branes. Their analytical continuation to the pseudo--Riemannian
metric can give rise to either 4-dimensional inflating branes or solutions with
the same dynamical behaviour for extra--dimension and branes, in addition to
multitemporal solutions. Dust brane-world models with arbitrary dimensions (D
>= 5) as well as other spatial topologies are also briefly discussed.Comment: 11 pages, 3 figures, LaTeX2e, accepted for publication in Classical
and Quantum Gravit
Acceleration from M theory and Fine-tuning
The compactification of M theory with time dependent hyperbolic internal
space gives an effective scalar field with exponential potential which provides
a transient acceleration in Einstein frame in four dimensions. Ordinary matter
and radiation are present in addition to the scalar field coming from
compactification. We find that we have to fine-tune the initial conditions of
the scalar field so that our Universe experiences acceleration now. During the
evolution of our Universe, the volume of the internal space increases about 12
times. The time variation of the internal space results in a large time
variation of the fine structure constant which violates the observational
constraint on the variation of the fine structure constant. The large variation
of the fine structure constant is a generic feature of transient acceleration
models.Comment: 9 pages, 3 figures, use iopart, v2; references updated, accepted for
publication in Class. Quantum Gra
Slow-roll inflation in (R+R*4) gravity
We reconsider the toy-model of topological inflation, based on the
R*4-modified gravity. By using its equivalence to the certain scalar-tensor
gravity model in four space-time dimensions, we compute the inflaton scalar
potential and investigate a possibility of inflation. We confirm the existence
of the slow-roll inflation with an exit. However, the model suffers from the
eta-problem that gives rise to the unacceptable value of the spectral index n_s
of scalar perturbations.Comment: 12 pages, 3 figures, LaTeX, misprints corrected and references
update
ΠΡΠ½ΠΎΠ²Ρ ΡΠ΅Π°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΡΠ΅ΠΆΠΈΠΌΠ° Π½Π°Π²ΠΈΠ³Π°ΡΠΈΠΈ Π² Π±ΠΎΡΡΠΎΠ²ΠΎΠΌ ΡΡΠ΅Π½Π°ΠΆΠ΅ΡΠ½ΠΎΠΌ ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΠ΅ ΡΠ°ΠΌΠΎΠ»Π΅ΡΠ° Π-39
ΠΠΈΠΊΠ»Π°Π΄Π΅Π½Ρ ΠΎΡΠ½ΠΎΠ²ΠΈ ΡΠ΅Π°Π»ΡΠ·Π°ΡΡΡ ΡΠ΅ΠΆΠΈΠΌΡ Π½Π°Π²ΡΠ³Π°ΡΡΡ Π² Π±ΠΎΡΡΠΎΠ²ΠΎΠΌΡ ΡΡΠ΅Π½Π°ΠΆΠ΅ΡΠ½ΠΎΠΌΡ ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΡ ΠΏΡΠ΄Π³ΠΎΡΠΎΠ²ΠΊΠΈ Π»ΡΠΎΡΡΠΈΠΊΡΠ², ΡΠΊΠΈΠΉ ΠΏΡΠΈΠ·Π½Π°ΡΠ°ΡΡΡΡΡ Π΄Π»Ρ Π²ΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½Π½Ρ Π½Π° ΡΡΠ±ΠΎΠ²ΠΎ-ΡΡΠ΅Π½ΡΠ²Π°Π»ΡΠ½ΠΎΠΌΡ Π»ΡΡΠ°ΠΊΡ Π-39. ΠΡΠΈΠ²Π΅Π΄Π΅Π½Ρ ΡΠΎΡΠΌΡΠ»ΠΈ ΠΎΠ±ΡΠΈΡΠ»Π΅Π½Π½Ρ ΠΎΡΠ½ΠΎΠ²Π½ΠΈΡ
Π½Π°Π²ΡΠ³Π°ΡΡΠΉΠ½ΠΈΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡΠ² Π΄Π»Ρ ΡΠ΅ΠΆΠΈΠΌΡ ΠΏΠΎΠ»ΡΠΎΡΡ Π·Π° Π·Π°Π΄Π°Π½ΠΈΠΌ ΠΌΠ°ΡΡΡΡΡΠΎΠΌ Π² ΡΠΎΡΠΌΠ°ΡΡ Π»ΡΡΠ°ΠΊΡΠ² ΡΠΈΠΏΡ ΠΡΠ-29 (Π‘Ρ-27).Fundamentals of realization the mode of navigation in the airborne simulating complex for military pilots training, which was developed for a placing on the trainer L-39. Calculation formulae of main navigation parameters for a flight mode on the given route in the military aircraft MiG-29 (Su-27) format is given.ΠΠ·Π»ΠΎΠΆΠ΅Π½Ρ ΠΎΡΠ½ΠΎΠ²Ρ ΡΠ΅Π°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΡΠ΅ΠΆΠΈΠΌΠ° Π½Π°Π²ΠΈΠ³Π°ΡΠΈΠΈ Π² Π±ΠΎΡΡΠΎΠ²ΠΎΠΌ ΡΡΠ΅Π½Π°ΠΆΠ΅ΡΠ½ΠΎΠΌ ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΠ΅ ΠΏΠΎΠ΄Π³ΠΎΡΠΎΠ²ΠΊΠΈ Π»Π΅ΡΡΠΈΠΊΠΎΠ², ΠΊΠΎΡΠΎΡΡΠΉ ΠΏΡΠ΅Π΄Π½Π°Π·Π½Π°ΡΠ΅Π½ Π΄Π»Ρ ΡΡΡΠ°Π½ΠΎΠ²ΠΊΠΈ Π½Π° ΡΡΠ΅Π±Π½ΠΎ-ΡΡΠ΅Π½ΠΈΡΠΎΠ²ΠΎΡΠ½ΠΎΠΌ ΡΠ°ΠΌΠΎΠ»Π΅ΡΠ΅ Π-39. ΠΡΠΈΠ²Π΅Π΄Π΅Π½Ρ ΡΠΎΡΠΌΡΠ»Ρ Π²ΡΡΠΈΡΠ»Π΅Π½ΠΈΡ ΠΎΡΠ½ΠΎΠ²Π½ΡΡ
Π½Π°Π²ΠΈΠ³Π°ΡΠΈΠΎΠ½Π½ΡΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² Π΄Π»Ρ ΡΠ΅ΠΆΠΈΠΌΠ° ΠΏΠΎΠ»Π΅ΡΠ° ΠΏΠΎ Π·Π°Π΄Π°Π½Π½ΠΎΠΌΡ ΠΌΠ°ΡΡΡΡΡΡ Π² ΡΠΎΡΠΌΠ°ΡΠ΅ ΡΠ°ΠΌΠΎΠ»Π΅ΡΠΎΠ² ΡΠΈΠΏΠ° ΠΠΈΠ-29 (Π‘Ρ-27)
ΠΠ·Π°ΡΠΌΠΎΠ·Π²'ΡΠ·ΠΎΠΊ ΠΌΡΠΆ Π·Π°Π³Π°Π»ΡΠ½ΠΈΠΌΠΈ ΡΠ° Π΅ΡΠ΅ΠΊΡΠΈΠ²Π½ΠΈΠΌΠΈ Π²ΠΎΠ΄ΠΎΠ½Π΅ΠΏΡΠΎΠ½ΠΈΠΊΠ½ΠΈΠΌΠΈ ΠΏΠΎΠΊΡΠΈΡΡΡΠΌΠΈ ΠΏΡΠ΄ ΡΠ°Ρ ΠΌΠΎΠ΄Π΅Π»ΡΠ²Π°Π½Π½Ρ Π΄ΠΎΡΠΎΠ²ΠΎΠ³ΠΎ Π²ΠΎΠ΄ΠΎΠ²ΡΠ΄Π²Π΅Π΄Π΅Π½Π½Ρ
The paper presents a case study for the residential quarter at Shyroka Street in Lviv City. The importance of the division of the general impervious covers onto the directly connected to the urban drainage network (effective) impervious surfaces and unconnected impervious surfaces is confirmed in the paper. Using the results of the researches in Denver City and Marion County (USA), generalized power-law dependences between the effective imperviousness peff and the total imperviousness Ρtot are obtained. The investigation of the distribution of cover types for residential quarter at Shyroka Street in Lviv City was performed using three methods: the analysis of the surface type distribution on the basis of satellite images of the terrain (method No. 1); field survey of the territory of the quarter with the specification of the boundaries of different cover types (method No. 2); field survey with the establishment of the peculiarities of the connection of different sites to the centralized drainage network (method No. 3). The share of the total impervious covers, obtained by the method No. 2 ptot =0.546, is equal within the error range to the result ptot =0.541, obtained by the method # 1. The share of the effective impervious covers, peff =0.394, obtained by the method # 3 is 1.39 times less than the share of total impervious covers in the quarter ptot=0.546. The value of the general runoff coefficient is almost the same using the methods No. 1 and No. 2 (Ο0=0.494 and Ο0=0.496 respectively), instead much less value Ο0=0.427 is obtained in the method No. 3. In a result of a full-scale survey of the residential quarter in Lviv City, the effective imperviousness is peff = 0.394. This value is 1.08 times less comparing to the result of calculation using the power-law formula for Denver City and 1.18 times less comparing to the formula for Marion County. It is necessary to gain the similar results of field investigation for at least 20 quarters in order to obtain reliable power-law dependence between the effective and total imperviousness for Lviv City.ΠΠ° ΠΏΡΠΈΠΊΠ»Π°Π΄Ρ ΠΆΠΈΡΠ»ΠΎΠ²ΠΎΠ³ΠΎ ΠΊΠ²Π°ΡΡΠ°Π»Ρ ΠΏΠΎ Π²ΡΠ». Π¨ΠΈΡΠΎΠΊΡΠΉ Ρ ΠΡΠ²ΠΎΠ²Ρ ΠΏΡΠ΄ΡΠ²Π΅ΡΠ΄ΠΆΠ΅Π½ΠΎ Π²Π°ΠΆΠ»ΠΈΠ²ΡΡΡΡ ΠΏΠΎΠ΄ΡΠ»Ρ Π·Π°Π³Π°Π»ΡΠ½ΠΈΡ
Π²ΠΎΠ΄ΠΎΠ½Π΅ΠΏΡΠΎΠ½ΠΈΠΊΠ½ΠΈΡ
ΠΏΠΎΠΊΡΠΈΡΡΡΠ² Π½Π° Π½Π°ΠΏΡΡΠΌΡ ΠΏΡΠΈΡΠ΄Π½Π°Π½Ρ Π΄ΠΎ ΠΌΡΡΡΠΊΠΎΡ ΠΊΠ°Π½Π°Π»ΡΠ·Π°ΡΡΠΉΠ½ΠΎΡ ΠΌΠ΅ΡΠ΅ΠΆΡ (Π΅ΡΠ΅ΠΊΡΠΈΠ²Π½Ρ), Π²ΠΎΠ΄ΠΎΠ½Π΅ΠΏΡΠΎΠ½ΠΈΠΊΠ½Ρ ΠΏΠΎΠΊΡΠΈΡΡΡ ΡΠ° Π½Π΅ ΠΏΡΠΈΡΠ΄Π½Π°Π½Ρ Π²ΠΎΠ΄ΠΎΠ½Π΅ΠΏΡΠΎΠ½ΠΈΠΊΠ½Ρ ΠΏΠΎΠΊΡΠΈΡΡΡ. ΠΠ° ΠΏΡΠ΄ΡΡΠ°Π²Ρ Π°Π½Π°Π»ΡΠ·Ρ ΡΠ° ΡΠ·Π°Π³Π°Π»ΡΠ½Π΅Π½Π½Ρ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡΠ² Π΄ΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½Π½Ρ ΠΌΡΠΊΡΠΎΡΠ°ΠΉΠΎΠ½ΡΠ² ΠΠ΅Π½Π²Π΅ΡΠ° (Π‘Π¨Π) (Alley & Veenhuis, 1983) ΡΠ° ΡΠ΅ΡΠΈΡΠΎΡΡΡ ΠΠ°ΡΡΠΎΠ½ ΠΠ°ΡΠ½ΡΡ (Π‘Π¨Π) (Yang et all., 2011) ΠΎΡΡΠΈΠΌΠ°Π½ΠΎ ΡΠ·Π°Π³Π°Π»ΡΠ½Π΅Π½Ρ ΡΡΠ΅ΠΏΠ΅Π½Π΅Π²Ρ Π·Π°Π»Π΅ΠΆΠ½ΠΎΡΡΡ ΡΠ°ΡΡΠΊΠΈ Π΅ΡΠ΅ΠΊΡΠΈΠ²Π½ΠΈΡ
Π²ΠΎΠ΄ΠΎΠ½Π΅ΠΏΡΠΎΠ½ΠΈΠΊΠ½ΠΈΡ
ΠΏΠΎΠΊΡΠΈΡΡΡΠ² Ρeff Π²ΡΠ΄ ΡΠ°ΡΡΠΊΠΈ Π·Π°Π³Π°Π»ΡΠ½ΠΈΡ
Π²ΠΎΠ΄ΠΎΠ½Π΅ΠΏΡΠΎΠ½ΠΈΠΊΠ½ΠΈΡ
ΠΏΠΎΠΊΡΠΈΡΡΡΠ² Ρtot. ΠΠ»Ρ ΠΆΠΈΡΠ»ΠΎΠ²ΠΎΠ³ΠΎ ΠΊΠ²Π°ΡΡΠ°Π»Ρ ΠΏΠΎ Π²ΡΠ». Π¨ΠΈΡΠΎΠΊΡΠΉ Ρ ΠΌ. ΠΡΠ²ΠΎΠ²Ρ Π²ΠΈΠΊΠΎΠ½Π°Π½ΠΎ Π΄ΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½Π½Ρ ΡΠΎΠ·ΠΏΠΎΠ΄ΡΠ»Ρ ΡΠΈΠΏΡΠ² ΠΏΠΎΠΊΡΠΈΡΡΡ Π·Π° ΡΡΡΠΎΠΌΠ° ΠΌΠ΅ΡΠΎΠ΄Π°ΠΌΠΈ: ΠΊΠ°ΠΌΠ΅ΡΠ°Π»ΡΠ½ΠΈΠΉ Π°Π½Π°Π»ΡΠ· ΡΠΎΠ·ΠΏΠΎΠ΄ΡΠ»Ρ ΠΏΠΎΠ²Π΅ΡΡ
ΠΎΠ½Ρ Π·Π° ΡΠΈΠΏΠ°ΠΌΠΈ ΠΏΠΎΠΊΡΠΈΡΡΡ Π½Π° Π±Π°Π·Ρ ΡΡΠΏΡΡΠ½ΠΈΠΊΠΎΠ²ΠΈΡ
Π·ΠΎΠ±ΡΠ°ΠΆΠ΅Π½Ρ ΠΌΡΡΡΠ΅Π²ΠΎΡΡΡ; Π½Π°ΡΡΡΠ½Π΅ ΠΎΠ±ΡΡΠ΅ΠΆΠ΅Π½Π½Ρ ΡΠ΅ΡΠΈΡΠΎΡΡΡ ΠΊΠ²Π°ΡΡΠ°Π»Ρ Π· ΡΡΠΎΡΠ½Π΅Π½Π½ΡΠΌ ΠΌΠ΅ΠΆ ΠΏΠΎΠΊΡΠΈΡΡΡΠ² ΡΡΠ·Π½ΠΈΡ
ΡΠΈΠΏΡΠ²; Π½Π°ΡΡΡΠ½Π΅ ΠΎΠ±ΡΡΠ΅ΠΆΠ΅Π½Π½Ρ Π·Ρ Π²ΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½Π½ΡΠΌ ΠΎΡΠΎΠ±Π»ΠΈΠ²ΠΎΡΡΠ΅ΠΉ ΠΏΡΠΈΡΠ΄Π½Π°Π½Π½Ρ ΡΡΠ·Π½ΠΈΡ
Π΄ΡΠ»ΡΠ½ΠΎΠΊ Π΄ΠΎ ΡΠ΅Π½ΡΡΠ°Π»ΡΠ·ΠΎΠ²Π°Π½ΠΎΡ ΠΌΠ΅ΡΠ΅ΠΆΡ Π²ΠΎΠ΄ΠΎΠ²ΡΠ΄Π²Π΅Π΄Π΅Π½Π½Ρ. ΠΠΎΡΡΠ²Π½ΡΠ½ΠΎ ΡΠΎΠ·ΠΏΠΎΠ΄ΡΠ» ΠΏΠ»ΠΎΡ ΡΠ· ΡΡΠ·Π½ΠΈΠΌΠΈ ΡΠΈΠΏΠ°ΠΌΠΈ ΠΏΠΎΠΊΡΠΈΡΡΡ ΡΠ° Π·Π½Π°ΡΠ΅Π½Π½Ρ Π·Π°Π³Π°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΊΠΎΠ΅ΡΡΡΡΡΠ½ΡΠ° ΡΡΠΎΠΊΡ y0 , ΠΎΡΡΠΈΠΌΠ°Π½Ρ Π·Π° ΡΡΡΠΎΠΌΠ° ΠΎΠΏΠΈΡΠ°Π½ΠΈΠΌΠΈ Π² ΡΠΎΠ±ΠΎΡΡ ΠΌΠ΅ΡΠΎΠ΄Π°ΠΌΠΈ. ΠΠ½Π°ΡΠ»ΡΠ΄ΠΎΠΊ ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½Π½Ρ Π½Π°ΡΡΡΠ½ΠΎΠ³ΠΎ ΠΎΠ±ΡΡΠ΅ΠΆΠ΅Π½Π½Ρ ΠΆΠΈΡΠ»ΠΎΠ²ΠΎΠ³ΠΎ ΠΊΠ²Π°ΡΡΠ°Π»Ρ ΠΡΠ²ΠΎΠ²Π° Π·Π° Π·Π½Π°ΡΠ΅Π½Π½Ρ ΡΠ°ΡΡΠΊΠΈ Π·Π°Π³Π°Π»ΡΠ½ΠΈΡ
Π²ΠΎΠ΄ΠΎΠ½Π΅ΠΏΡΠΎΠ½ΠΈΠΊΠ½ΠΈΡ
ΠΏΠΎΠΊΡΠΈΡΡΡΠ² Ρtot=0,546 ΠΎΡΡΠΈΠΌΠ°Π½ΠΎ ΡΠ°ΡΡΠΊΡ Π΅ΡΠ΅ΠΊΡΠΈΠ²Π½ΠΈΡ
Π²ΠΎΠ΄ΠΎΠ½Π΅ΠΏΡΠΎΠ½ΠΈΠΊΠ½ΠΈΡ
ΠΏΠΎΠΊΡΠΈΡΡΡΠ² Ρeff=0,394, ΡΠΎ Π² 1,08 ΡΠ° Π² 1,18 ΡΠ°Π·Π° ΠΌΠ΅Π½ΡΠ΅, Π½ΡΠΆ Π·Π° ΡΠΎΡΠΌΡΠ»Π°ΠΌΠΈ, ΠΎΡΡΠΈΠΌΠ°Π½ΠΈΠΌΠΈ Π²ΡΠ΄ΠΏΠΎΠ²ΡΠ΄Π½ΠΎ Π΄Π»Ρ ΠΠ΅Π½Π²Π΅ΡΠ° ΡΠ° ΡΠ΅ΡΠΈΡΠΎΡΡΡ ΠΠ°ΡΡΠΎΠ½ ΠΠ°ΡΠ½ΡΡ
Einstein and Brans-Dicke frames in multidimensional cosmology
Inhomogeneous multidimensional cosmological models with a higher dimensional
space-time manifold M= M_0 x M_1 ...x M_n are investigated under dimensional
reduction to a D_0-dimensional effective non-minimally coupled sigma-model
which generalizes the familiar Brans-Dicke model.
It is argued that the Einstein frame should be considered as the physical
one. The general prescription for the Einstein frame reformulation of known
solutions in the Brans-Dicke frame is given. As an example, the reformulation
is demonstrated explicitly for the generalized Kasner solutions where it is
shown that in the Einstein frame there are no solutions with inflation of the
external space.Comment: 27 pages, Revte
AdS and stabilized extra dimensions in multidimensional gravitational models with nonlinear scalar curvature terms 1/R and R^4
We study multidimensional gravitational models with scalar curvature
nonlinearities of the type 1/R and R^4. It is assumed that the corresponding
higher dimensional spacetime manifolds undergo a spontaneous compactification
to manifolds with warped product structure. Special attention is paid to the
stability of the extra-dimensional factor spaces. It is shown that for certain
parameter regions the systems allow for a freezing stabilization of these
spaces. In particular, we find for the 1/R model that configurations with
stabilized extra dimensions do not provide a late-time acceleration (they are
AdS), whereas the solution branch which allows for accelerated expansion (the
dS branch) is incompatible with stabilized factor spaces. In the case of the
R^4 model, we obtain that the stability region in parameter space depends on
the total dimension D=dim(M) of the higher dimensional spacetime M. For D>8 the
stability region consists of a single (absolutely stable) sector which is
shielded from a conformal singularity (and an antigravity sector beyond it) by
a potential barrier of infinite height and width. This sector is smoothly
connected with the stability region of a curvature-linear model. For D<8 an
additional (metastable) sector exists which is separated from the conformal
singularity by a potential barrier of finite height and width so that systems
in this sector are prone to collapse into the conformal singularity. This
second sector is not smoothly connected with the first (absolutely stable) one.
Several limiting cases and the possibility for inflation are discussed for the
R^4 model.Comment: 28 pages, minor cosmetic improvements, Refs. added; to appear in
Class. Quantum Gra
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