Toward the Alleviation of the H0 Tension in Myrzakulov f(R,T) Gravity

Aljohani, Mashael A.; Mahmoud, Emad E.; Yerzhanov, Koblandy; Sergazina, Almira

doi:10.3390/universe11080252

Open AccessArticle

Toward the Alleviation of the H₀ Tension in Myrzakulov f(R,T) Gravity

by

Mashael A. Aljohani

¹,

Emad E. Mahmoud

²

,

Koblandy Yerzhanov

^3,* and

Almira Sergazina

³

¹

Department of Mathematics and Statistics, College of Science, Taibah University, Yanbu 41911, Saudi Arabia

²

Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

³

Physics Department, Eurasian National University, Nur-Sultan 010008, Kazakhstan

^*

Author to whom correspondence should be addressed.

Universe 2025, 11(8), 252; https://doi.org/10.3390/universe11080252

Submission received: 10 May 2025 / Revised: 12 July 2025 / Accepted: 25 July 2025 / Published: 29 July 2025

(This article belongs to the Special Issue Gravity and Cosmology: Exploring the Mysteries of f(T) Gravity)

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Abstract

In this work, we provide a promising way to alleviate the Hubble tension within the framework of Myrzakulov

f (R, T)

gravity. The latter incorporates both curvature and torsion under a non-special connection. We consider the

f (R, T) = R + α R^{2}

class, which leads to modified Friedmann equations and an effective dark energy sector. Within this class, we make specific connection choices in order to obtain a Hubble function that coincides with that of

Λ

CDM at early times while yielding higher

H_{0}

values at late times. The reason behind this behavior is that the dark energy equation of state exhibits phantom behavior, which is known to be a sufficient mechanism for alleviating the

H_{0}

tension. A full observational comparison with various datasets, including the Cosmic Microwave Background (CMB), is required to test the viability of this scenario. Strictly speaking, the present work does not provide a complete solution to the Hubble tension but rather proposes a promising way to alleviate it.

Keywords: Hubble tension; modified gravity; torsional gravity

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MDPI and ACS Style

Aljohani, M.A.; Mahmoud, E.E.; Yerzhanov, K.; Sergazina, A. Toward the Alleviation of the H₀ Tension in Myrzakulov f(R,T) Gravity. Universe 2025, 11, 252. https://doi.org/10.3390/universe11080252

AMA Style

Aljohani MA, Mahmoud EE, Yerzhanov K, Sergazina A. Toward the Alleviation of the H₀ Tension in Myrzakulov f(R,T) Gravity. Universe. 2025; 11(8):252. https://doi.org/10.3390/universe11080252

Chicago/Turabian Style

Aljohani, Mashael A., Emad E. Mahmoud, Koblandy Yerzhanov, and Almira Sergazina. 2025. "Toward the Alleviation of the H₀ Tension in Myrzakulov f(R,T) Gravity" Universe 11, no. 8: 252. https://doi.org/10.3390/universe11080252

APA Style

Aljohani, M. A., Mahmoud, E. E., Yerzhanov, K., & Sergazina, A. (2025). Toward the Alleviation of the H₀ Tension in Myrzakulov f(R,T) Gravity. Universe, 11(8), 252. https://doi.org/10.3390/universe11080252

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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Toward the Alleviation of the H₀ Tension in Myrzakulov f(R,T) Gravity

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