vestifmИзвестия Национальной академии наук Беларуси. Серия физико-математических наукProceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series1561-24302524-2415The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"10.29235/1561-2430-2024-60-1-43-51vestifm-762Research ArticleФИЗИКАPHYSICSКосмология Фройнда – Намбу с безмассовым скалярным полемFreund – Nambu cosmology with the massless scalar fieldДудкоИ. Г.DudkoI. G.

Дудко Игорь Георгиевич – научный сотрудник 

пр. Независимости, 68-а, 220072, Минск

Igor G. Dudko – Researcher

68-2, Nezavisimosti Ave., 220072, Minsk

igordudko89@gmail.comВыблыйЮ. П.VyblyiYu. P.

Выблый Юрий Петрович – кандидат физико-математических наук, ведущий научный сотрудник

пр. Независимости, 68-а, 220072, Минск

Yuri P. Vyblyi – Ph. D. (Physics and Mathematics), Leading Researcher

68-2, Nezavisimosti Ave., 220072, Minsk

vyblyi@gmail.comИнститут физики имени Б. И. Степанова Национальной академии наук БеларусиB. I. Stepanov Institute of Physics of the National Academy of Science of Belarus2024020420246014351Copyright © Дудко И.Г., Выблый Ю.П., 20242024Дудко И.Г., Выблый Ю.П.Dudko I.G., Vyblyi Y.P.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestifm.belnauka.by/jour/article/view/762

 

В рамках обобщения скалярно-тензорной теории гравитации Фройнда – Намбу рассмотрено безмассовое скалярное поле, источником которого является след его собственного тензора энергии-импульса. Для космологической задачи получены численные решения полевых уравнений, с помощью которых построены зависимости параметра Хаббла и фотометрического расстояния до наблюдаемых источников от красного смещения. Для количественной оценки согласованности моделей с наблюдательными данными построены контуры доверительных интервалов изменения параметров моделей.

Within the framework of the generalization of Freund – Nambu scalar-tensor theory of gravity, a massless scalar field is considered, the source of which is the trace of its own energy-momentum tensor. For the cosmological problem, numerical solutions of field equations were obtained, with the help of which the dependencies of the Hubble parameter and the photometric distance to the observed sources on red-shift were constructed. To the consistency of the models with observational data, contours of confidence intervals for model parameters were constructed.

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The authors declare that there are no conflicts of interest present.