Конструирование точных решений в космологии, основанной на гравитации Хорндески
Автор: Фомин И.В.
Журнал: Пространство, время и фундаментальные взаимодействия @stfi
Рубрика: Гравитация, космология и фундаментальные поля
Статья в выпуске: 2 (23), 2018 года.
Бесплатный доступ
В данной работе предлагается метод генерирования точных космологических решений для случая грави- тации Хорндески из точных решений для гравитации Эйнштейна. Эти решения обобщаются в смысле со- поставления некоторых теорий гравитации, именно, Общей Теории Относительности, скалярно-тензорной гравитации, гравитации Эйнштейна-Гаусса-Бонне и обобщенной скалярно-тензорной гравитации с неми- нимальной связью скалярного поля со скаляром Риччи и скаляром Гаусс-Бонне.
Короткий адрес: https://sciup.org/142216014
IDR: 142216014 | DOI: 10.17238/issn2226-8812.2018.2.59-67
Список литературы Конструирование точных решений в космологии, основанной на гравитации Хорндески
- Starobinsky A.A. A New Type of Isotropic Cosmological Models Without Singularity. Phys. Lett. B., 1980, vol. 91, pp. 99-102
- Guth A.H. The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems. Phys. Rev. D., 1981, vol. 23, pp. 347-356
- Linde A.D. A New Inflationary Universe Scenario: A Possible Solution of the Horizon, Flatness, Homogeneity, Isotropy and Primordial Monopole Problems. Phys. Lett. B., 1982, vol. 108, pp. 389-393
- Linde A.D. Particle physics and inflationary cosmology. Contemp. Concepts Phys., 1990, vol. 5, pp. 1-362
- Chervon S.V., Fomin I.V., Beesham A. The method of generating functions in exact scalar field inflationary cosmology. Eur. Phys. J. C., 2018, vol. 78, no.4, p. 301
- Fomin I.V., Chervon S.V. Exact and Approximate Solutions in the Friedmann Cosmology. Russ. Phys. J., 2017, vol. 60, no.3, p. 427
- Frieman J., Turner M., Huterer D. Dark Energy and the Accelerating Universe. Ann. Rev. Astron. Astrophys., 2008, vol. 46, pp. 385-432
- Nojiri S., Odintsov S.D. Modified non-local-F(R) gravity as the key for the inflation and dark energy. Phys. Lett. B., 2008, vol. 659, pp. 821-826
- Clifton T., Ferreira P.G., Padilla A. and Skordis C. Modified Gravity and Cosmology. Phys. Rept., 2012, vol. 513, p.1-189
- Fujii Y., Maeda K. The scalar-tensor theory of gravitation. Cambridge, USA: Univ. Pr., 2003, 240 p
- Faraoni V. Cosmology in Scalar-Tensor Gravity. Dordrecht.: Cluwer Academic Publisher, 2004, 414 p
- Belinchon J.A., Harko T., Mak M.K. Exact Scalar-Tensor Cosmological Solutions via Noether Symmetry. Astrophys. Space Sci., 2016, vol. 361, no.2, p. 52
- Fomin I.V. Exact solutions in Friedmann cosmology with scalar fields. Space, Time and Fundamental Interactions, 2018, no. 1, pp. 46-53
- Zwiebach B. Curvature Squared Terms and String Theories. Phys. Lett. B, 1985, vol.156, pp. 315-317
- Lovelock D. The Einstein tensor and its generalizations. J. Math. Phys., 1971, vol. 12, pp. 498-501
- Cognola G., Elizalde E., Nojiri S., Odintsov S., Zerbini S. String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy. Phys. Rev. D, 2007, vol. 75, p. 086002
- Fomin I.V., Chervon S.V. Exact inflation in Einstein-Gauss-Bonnet gravity. Grav. Cosmol., 2017, vol. 23, pp. 367-374
- Fomin I.V., Chervon S.V. A new approach to exact solutions construction in scalar cosmology with a Gauss-Bonnet term. Mod. Phys. Lett. A., 2017, vol. 32, p. 1750129
- Horndeski G.W. Second-Order Scalar-Tensor Field Equations in a Four-Dimensional Space. Int. J. Theor.Phys., 1974, vol.10, pp. 363-384
- Starobinsky A.A., Sushkov S.V., Volkov M.S. The screening Horndeski cosmologies. JCAP, 2016, vol. 1606. no. 06, p. 007
- De Felice A., Tsujikawa S. Inflationary non-Gaussianities in the most general second-order scalar-tensor theories. Phys. Rev. D, 2011, vol. 84. p. 083504
- Capozziello S., Dialektopoulos K.F., Sushkov S.V. Classification of the Horndeski cosmologies via Noether Symmetries. Eur. Phys. J. C., 2018, vol. 78. no.6, p. 447
- Mizuno S., Koyama K. Primordial non-Gaussianity from the DBI Galileons. Phys. Rev. D, 2010, vol. 82, p. 103518
- Kobayashi T. Yamaguchi M., Yokoyama J. Generalized G-inflation: Inflation with the most general second-order field equations. Prog. Theor. Phys., 2011, vol. 126, pp. 511-529
- De Felice A., Tsujikawa S., Elliston J., Tavakol R. Chaotic inflation in modified gravitational theories, JCAP, 2011, vol. 1108, p. 021
- Ivanov G.G. Friedmann cosmological models with a nonlinear scalar field. Gravitation and Theory of Relativity, Kazan.: Kazan university publishing house., 1981, pp. 54-60
- Salopek D.S., Bond J.R. Stochastic inflation and nonlinear gravity. Phys. Rev. D, 1991, vol. 43. pp. 1005-1031
- Zhuravlev V.M., Chervon S.V., Shchigolev V.K. New classes of exact solutions in inflationary cosmology. J. Exp. Theor. Phys., 1998, vol. 87, pp. 223-228
- Abramowitz M., Stegun I.A. Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables. NBS Applied Mathematics Series 55, National Bureau of Standards. Washington.: DC, 1964, 1046 p
- Muslimov A.G. On the Scalar Field Dynamics in a Spatially Flat Friedman Universe. Class. Quant. Grav., 1990, vol. 7, pp. 231-237