A new approach to the analysis of cosmological parameters in multifield cosmology

K.A. Bolshakova; S.V. Chervon

doi:10.18127/j20700970-202403-09

A new approach to the analysis of cosmological parameters in multifield cosmology

K.A. Bolshakova¹, S.V. Chervon²

research article UDC 524.8 Pages: 91-103 doi.org/10.18127/j20700970-202403-09

¹ Ulyanovsk State Pedagogical University (Ulyanovsk, Russia)
² Ulyanovsk State Pedagogical University (Ulyanovsk, Russia); Bauman Moscow State Technical University (Moscow, Russia); Kazan Federal University (Kazan, Russia)

Keywords: Tensor-multi-scalar theory of gravity cosmological inflation chiral cosmological model

Abstract

Currently, for the cosmological inflation model with one scalar field, a method has been developed for calculating cosmological parameters, such as the power spectrum of scalar and tensor perturbations, their spectral parameters, and the tensor-to-scalar ratio. In the case of a multifield configuration, an suitable method for calculating cosmological parameters has not been developed. We propose a new effective algorithm for finding cosmological parameters in the tensor-multi-scalar theory of gravity (TMS TG), which describes the era of early inflation of the Universe. The paper proposes a new approach based on the use of a special case of an analytical solution in a multifield cosmological model to establish a functional connection between fields. This method makes it possible to calculate cosmological parameters and their comparison with observational data.

Received: 28.05.2024
Approved after review: 16.07.2024
Accepted: 28.08.2024

How to cite

Большакова К.А., Червон С.В. Новый подход к анализу космологических параметров в мультиполевой космологии // Нелинейный мир. 2024. Т. 22. № 3. С. 91–103. DOI: https://doi.org/10.18127/j20700970-202403-09

References

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Muslimov A.G. On the Scalar Field Dynamics in a Spatially Flat Friedman Universe. Class. Quant. Grav. 1990. V. 7. P. 231–237.
Barrow J.D. Graduated inflationary universes Phys. Lett. B. 1990. V. 235. P. 40.
Chervon S.V., Fomin I.V., Beesham A. The method of generating functions in exact scalar field inflationary cosmology. Eur. Phys. J. C. 2018. V. 78. P. 301.
Chervon S., Fomin, I., Yurov V., Yurov A. Scalar Field Cosmology. Series on the Foundations of Natural Sciences and Technology. V. 13. Monography. World Scientific Publishing. 2019. 264 r.
Fomin I.V., Chervon S.V., Morozov A.N. Gravitacionnye volny rannej Vselennoj. M.: MGTU im. N.E. Baumana. 2018. 154 s. (In Russian).
Chervon S., Fomin, I, Pozdeeva E. O., Sami M., Vernov S. Yu. Superpotential method for chiral cosmological models connected with modified gravity. Phys. Rev. D. 2019. V. 100. P. 063522.
Chervon S.V., Fomin I.V., Mayorova T.I., Khapaeva T.I. Cosmological parameters of f(R) gravity with kinetic scalar curvature. J. Phys.: Conf. Ser. 2020. V. 1557. P. 012016.
Chervon S.V. Gravitational field of the Early Universe I: Non-linear scalar field as the source. Gravitation Cosmol. 1997. V. 3. P. 145.
Damour T., Esposito-Far`ese G. Tensor-multi-scalar theories of gravitation. Class Quantum Grav. 1992. V. 9.
Beesham A., Maharaj S.D., Chervon S.V., Kubasov. A.S. Exact Inflationary Solutions Inspired by the Emergent Universe Scenario. Int. J. Theor. Phys. 2015. V. 54. P. 884–895.
Beesham A., Maharaj S.D., Chervon S.V., Kubasov A.S. An emergent universe with dark sector fields in a chiral cosmological model. Quantum Matter. 2013. V. 2. P. 388–395.
Maharaj S.D., Beesham A., Chervon S.V., Kubasov A.S. New exact solutions for a chiral cosmological model in 5D EGB. Gravity. Grav. Cosmol. 2017. V. 23. № 4. P. 375–380.
Kuusk P., Järv L., Randla E. Scalar-tensor and multiscalar-tensor gravity and cosmological models. Algebra. Geometry and Mathematical Physics.
Chervon S.V., Kubasov A.S., Bol'shakova K.A. Kosmologicheskaya inflyaciya v tenzorno-mul'tiskalyarnoj teorii gravitacii // Prostranstvo, vremya i fundamental'nye vzaimodejstviya. 2018. № 1. C. 50–66 (In Russian).
Bolshakova K.A., Chervon S.V. Cosmological Solutions in the Tensor-Multi-Scalar Theory of Gravity with the Higgs Potential. Grav. Cosmol. 2020. V. 26. № 2. P. 153–151.
Chervon S.V., Fomin, I.V. On calculation of the cosmological parameters in exact models of inflation. Gravit. Cosmol. 2008. V. 14. P. 163–167. https://doi.org/10.1134/S0202289308020060.
Barrow J.D., Paliathanasis A. Cosmological solutions of gravity. Phys.Rev., 2016. V. D94. P. 083518.
De Felice, Antonio & Tsujikawa, Shinji & Elliston, Joseph & Tavakol, Reza. Chaotic inflation in modified gravitational theories. Journal of Cosmology and Astroparticle Physics 2011. JCAP. 8. 10.1088/1475-7516/2011/08/021.
Chervon S.V. Kiral'nye samo-gravitiruyushchie modeli: tochnye resheniya i vychislenie kosmologicheskih parametrov. Prostranstvo, vremya i fundamental'nye vzaimodejstviya. 2022. № 40. C. 30–49 (In Russian).
Fomin I. Gauss-Bonnet term corrections in scalar field cosmology. Eur. Phys. J. C. 2020. V. 80. P. 1145.

[1] Starobinsky A.A. A New Type of Isotropic Cosmological Models Without Singularity. Phys. Lett. 1980. V. 91. P. 99–102.

[2] Guth A.H. The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems, Phys. Rev. D. 1981. V. 23. P. 347–356. DOI:10.1103/PhysRevD.23.347.

[3] 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. V. 108. P. 389–393. DOI:10.1016/0370-2693(82)91219-9.

[4] Albrecht A., Steinhardt P.J. Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking, Phys. Rev. Lett. 1982. V. 48. P. 1220–1223. DOI:10.1103/PhysRevLett.48.1220.

[5] Ivanov G.G. Kosmologicheskie modeli Fridmana s nelinejnym skalyarnym polem. Gravitaciya i teoriya otnositel'nosti. Kazan': Izd-vo KGU. 1981. Vyp. 18. S. 54–60 (In Russian).

[6] Ivanov G.G., Chervon S.V., Khapaeva A.V. Friedmann cosmological model with nonlinear scalar field. Space, Time and Fundamental Interactions. 2020. № 3. P. 66–71.

[7] Muslimov A.G. On the Scalar Field Dynamics in a Spatially Flat Friedman Universe. Class. Quant. Grav. 1990. V. 7. P. 231–237.

[8] Barrow J.D. Graduated inflationary universes Phys. Lett. B. 1990. V. 235. P. 40.

[9] Chervon S.V., Fomin I.V., Beesham A. The method of generating functions in exact scalar field inflationary cosmology. Eur. Phys. J. C. 2018. V. 78. P. 301.

[10] Chervon S., Fomin, I., Yurov V., Yurov A. Scalar Field Cosmology. Series on the Foundations of Natural Sciences and Technology. V. 13. Monography. World Scientific Publishing. 2019. 264 r.

[11] Fomin I.V., Chervon S.V., Morozov A.N. Gravitacionnye volny rannej Vselennoj. M.: MGTU im. N.E. Baumana. 2018. 154 s. (In Russian).

[12] Chervon S., Fomin, I, Pozdeeva E. O., Sami M., Vernov S. Yu. Superpotential method for chiral cosmological models connected with modified gravity. Phys. Rev. D. 2019. V. 100. P. 063522.

[13] Chervon S.V., Fomin I.V., Mayorova T.I., Khapaeva T.I. Cosmological parameters of f(R) gravity with kinetic scalar curvature. J. Phys.: Conf. Ser. 2020. V. 1557. P. 012016.

[14] Chervon S.V. Gravitational field of the Early Universe I: Non-linear scalar field as the source. Gravitation Cosmol. 1997. V. 3. P. 145.

[15] Damour T., Esposito-Far`ese G. Tensor-multi-scalar theories of gravitation. Class Quantum Grav. 1992. V. 9.

[16] Beesham A., Maharaj S.D., Chervon S.V., Kubasov. A.S. Exact Inflationary Solutions Inspired by the Emergent Universe Scenario. Int. J. Theor. Phys. 2015. V. 54. P. 884–895.

[17] Beesham A., Maharaj S.D., Chervon S.V., Kubasov A.S. An emergent universe with dark sector fields in a chiral cosmological model. Quantum Matter. 2013. V. 2. P. 388–395.

[18] Maharaj S.D., Beesham A., Chervon S.V., Kubasov A.S. New exact solutions for a chiral cosmological model in 5D EGB. Gravity. Grav. Cosmol. 2017. V. 23. № 4. P. 375–380.

[19] Kuusk P., Järv L., Randla E. Scalar-tensor and multiscalar-tensor gravity and cosmological models. Algebra. Geometry and Mathematical Physics.

[20] Chervon S.V., Kubasov A.S., Bol'shakova K.A. Kosmologicheskaya inflyaciya v tenzorno-mul'tiskalyarnoj teorii gravitacii // Prostranstvo, vremya i fundamental'nye vzaimodejstviya. 2018. № 1. C. 50–66 (In Russian).

[21] Bolshakova K.A., Chervon S.V. Cosmological Solutions in the Tensor-Multi-Scalar Theory of Gravity with the Higgs Potential. Grav. Cosmol. 2020. V. 26. № 2. P. 153–151.

[22] Chervon S.V., Fomin, I.V. On calculation of the cosmological parameters in exact models of inflation. Gravit. Cosmol. 2008. V. 14. P. 163–167. https://doi.org/10.1134/S0202289308020060.

[23] Barrow J.D., Paliathanasis A. Cosmological solutions of gravity. Phys.Rev., 2016. V. D94. P. 083518.

[24] De Felice, Antonio & Tsujikawa, Shinji & Elliston, Joseph & Tavakol, Reza. Chaotic inflation in modified gravitational theories. Journal of Cosmology and Astroparticle Physics 2011. JCAP. 8. 10.1088/1475-7516/2011/08/021.

[25] Chervon S.V. Kiral'nye samo-gravitiruyushchie modeli: tochnye resheniya i vychislenie kosmologicheskih parametrov. Prostranstvo, vremya i fundamental'nye vzaimodejstviya. 2022. № 40. C. 30–49 (In Russian).

[26] Fomin I. Gauss-Bonnet term corrections in scalar field cosmology. Eur. Phys. J. C. 2020. V. 80. P. 1145.

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