Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)2421710.22363/2658-4670-2020-28-2-120-130Mathematical models in PhysicsМатематические модели в физикеResearch ArticleApplying Friedmann models to describe the evolution of the Universe based on data from the SAI Supernovae CatalogПрименение моделей Фридмана для описания эволюции Вселенной на основе данных SAI Supernovae CatalogGavrikovArsenii S.ГавриковА. С.

Student of the Institute of Physical Research and Technologies

Институт физических исследований и технологий

gavrikov.997755@gmail.comSahaBijanСахаБиджан

Doctor of Physical and Mathematical Sciences, assistant professor of the Institute of Physical Research and Technologies of Peoples’ Friendship University of Russia (RUDN University), leading researcher at the Laboratory of Information Technologies of The Joint Institute for Nuclear Research

Институт физических исследований и технологий; Лаборатория информационных технологий

bijan64@mail.ruRikhvitskyVictor S.РихвицкийВ. С.

Master of physical and mathematical Sciences, Leading programmer of the Laboratory of Information Technologies

Лаборатория информационных технологий

rqvtsk@mail.ruPeoples’ Friendship University of Russia (RUDN University)Российский университет дружбы народовJoint Institute for Nuclear ResearchОбъединённый институт ядерных исследований15122020282VOL 28, NO2 (2020)ТОМ 28, №2 (2020)12013020072020Copyright ©; 2020, Gavrikov A.S., Saha B., Rikhvitsky V.S.Copyright ©; 2020, Гавриков А.С., Саха Б., Рихвицкий В.С.2020Gavrikov A.S., Saha B., Rikhvitsky V.S.Гавриков А.С., Саха Б., Рихвицкий В.С.https://creativecommons.org/licenses/by-nc/4.0https://journals.rudn.ru/miph/article/view/24217

In the recent years thanks to the modern and sophisticated technologies the astronomers and astrophysicists were able to look deep into the Universe. This vast data poses some new problem to the cosmologists. One of the problems is to develop an adequate theory. Another one is to fit the theoretical results with the observational one. In this report within the scope of the isotropic and homogeneous Friedman-Lemaitre-Robertson-Walker (FLRW) cosmological model we study the evolution of the Universe filled with dust or cosmological constant. The reason to consider this model is the present universe surprisingly homogeneous and isotropic in large scale. We also compare our results with the data from the SAI Supernovae Catalog. Since the observational data are given in terms of Hubble constant (????) and redshift (????) we rewrite the corresponding equations as a functions of ????. The task is to find the set of parameters for the mathematical model of an isotropic and homogeneous Universe that fits best with the astronomical data obtained from the study of supernovae: magnitude (????), redshift (????).

В последние годы благодаря современным и изощрённым технологиям астрономы и астрофизики смогли заглянуть вглубь Вселенной. Полученные при этом данные ставят перед космологами новые проблемы. Одна из проблем заключается в разработке адекватной и достаточной теории. Другая проблема заключается в сопоставлении теоретических результатов с результатами наблюдений. В настоящем докладе в рамках изотропной и однородной космологической модели Фридмана-Леметра-Робертсона-Уолкера (FLRW) мы изучаем эволюцию Вселенной, заполненной пылью или космологической постоянной. Причина рассмотрения этих моделей заключается в том, что нынешняя Вселенная удивительно однородна и изотропна в больших масштабах. Мы также сравниваем наши результаты с данными из каталога SAI Supernovae Catalog. Поскольку данные наблюдений даны в терминах постоянной Хаббла (????) и красного смещения (????), мы перепишем соответствующие уравнения в виде функций от ????. Задача состоит в том, чтобы найти набор параметров для математической модели изотропной и однородной Вселенной, который лучше всего соответствует астрономическим данным, полученным при изучении сверхновых: звёздная величина (????), красное смещение (????).

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