On stable exponential solutions in Einstein-Gauss-Bonnet cosmology with zero variation of G

被引：19

作者：

Ivashchuk, V. D. ^{[1
,2
]}

机构：

[1] RUDN Univ, Inst Gravitat & Cosmol, Miklukho Maklaya 6, Moscow 117198, Russia

[2] VNIIMS, Ctr Gravitat & Fundamental Metrol, Ozyornaya 46, Moscow 119361, Russia

来源：

GRAVITATION & COSMOLOGY | 2016年 / 22卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

MODEL; SINGULARITY; STABILITY; GRAVITY;

D O I：

10.1134/S0202289316040095

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A D-dimensional gravitational model with a Gauss-Bonnet term and the cosmological constant I > is considered. Assuming diagonal cosmological metrics, we find, for certain I > > 0, new examples of solutions with an exponential time dependence of two scale factors, governed by two Hubble-like parameters H > 0 and h < 0, corresponding to submanifolds of dimensions m and l, respectively, with (m, l) = (4, 2), (5, 2), (5, 3), (6, 7), (7, 5), (7, 6) and D = 1 + m + l. Any of these solutions describes an exponential expansion of our 3-dimensional factor space with the Hubble parameter H and zero variation of the effective gravitational constant G. We also prove the stability of these solutions in the class of cosmological solutions with diagonal metrics.

引用

收藏

页码：329 / 332

页数：4

相关论文

共 23 条

[1] Planck 2013 results. XVI. Cosmological parameters [J].

Ade, P. A. R. ;

Aghanim, N. ;

Armitage-Caplan, C. ;

Arnaud, M. ;

Ashdown, M. ;

Atrio-Barandela, F. ;

Aumont, J. ;

Baccigalupi, C. ;

Banday, A. J. ;

Barreiro, R. B. ;

Bartlett, J. G. ;

Battaner, E. ;

Benabed, K. ;

Benoit, A. ;

Benoit-Levy, A. ;

Bernard, J. -P. ;

Bersanelli, M. ;

Bielewicz, P. ;

Bobin, J. ;

Bock, J. J. ;

Bonaldi, A. ;

Bond, J. R. ;

Borrill, J. ;

Bouchet, F. R. ;

Bridges, M. ;

Bucher, M. ;

Burigana, C. ;

Butler, R. C. ;

Calabrese, E. ;

Cappellini, B. ;

Cardoso, J. -F. ;

Catalano, A. ;

Challinor, A. ;

Chamballu, A. ;

Chary, R. -R. ;

Chen, X. ;

Chiang, H. C. ;

Chiang, L. -Y ;

Christensen, P. R. ;

Church, S. ;

Clements, D. L. ;

Colombi, S. ;

Colombo, L. P. L. ;

Couchot, F. ;

Coulais, A. ;

Crill, B. P. ;

Curto, A. ;

Cuttaia, F. ;

Danese, L. ;

Davies, R. D. .

ASTRONOMY & ASTROPHYSICS, 2014, 571

[2] TIME-VARIATION OF GRAVITATIONAL CONSTANT IN MULTIDIMENSIONAL COSMOLOGY [J].

BRONNIKOV, KA ;

IVASHCHUK, VD ;

MELNIKOV, VN .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1988, 102 (02) :209-215

[3] Exact exponential solutions in Einstein-Gauss-Bonnet flat anisotropic cosmology [J].

Chirkov, Dmitry ;

Pavluchenko, Sergey ;

Toporensky, Alexey .

MODERN PHYSICS LETTERS A, 2014, 29 (18)

[4] ON THE APPROACH TO THE COSMOLOGICAL SINGULARITY IN QUADRATIC THEORIES OF GRAVITY - THE KASNER REGIMES [J].

DERUELLE, N .

NUCLEAR PHYSICS B, 1989, 327 (01) :253-266

[5] Stationary vs. singular points in an accelerating FRW cosmology derived from six-dimensional Einstein-Gauss-Bonnet gravity [J].

Elizalde, E. ;

Makarenko, A. N. ;

Obukhov, V. V. ;

Osetrin, K. E. ;

Filippov, A. E. .

PHYSICS LETTERS B, 2007, 644 (01) :1-6

[6] On exponential solutions in the Einstein-Gauss-Bonnet cosmology, stability and variation of G [J].

Ernazarov, K. K. ;

Ivashchuk, V. D. ;

Kobtsev, A. A. .

GRAVITATION & COSMOLOGY, 2016, 22 (03) :245-250

[7] COSMOLOGICAL SOLUTIONS OF THE EXTENDED EINSTEIN GRAVITY WITH THE GAUSS-BONNET TERM [J].

ISHIHARA, H .

PHYSICS LETTERS B, 1986, 179 (03) :217-222

[8]

Ivashchuk V. D., 1996, Gravitation & Cosmology, V2, P211

[9] On stability of exponential cosmological solutions with non-static volume factor in the Einstein-Gauss-Bonnet model [J].

Ivashchuk, V. D. .

EUROPEAN PHYSICAL JOURNAL C, 2016, 76 (08)

[10] On exponential cosmological type solutions in the model with Gauss-Bonnet term and variation of gravitational constant [J].

Ivashchuk, V. D. ;

Kobtsev, A. A. .

EUROPEAN PHYSICAL JOURNAL C, 2015, 75 (05) :1-12