Metric-Affine Myrzakulov Gravity Theories: Models, Applications and Theoretical Developments

Abstract

This review presents a comprehensive overview of Myrzakulov gravity, highlighting key developments and significant results shaping the theory. It examines the foundational principles, field equations, and the role of non-metricity and torsion in gravitational interactions. The theory's implications extend to cosmology, astrophysics, and strong gravitational fields, offering alternatives to dark matter and dark energy. A focus is placed on the modified Einstein-Hilbert action, its impact on cosmic expansion, and astrophysical applications such as black holes and gravitational waves. Observational constraints from cosmology and gravitational wave tests are discussed to refine the model. By situating Myrzakulov gravity within the broader context of modified gravity, this review explores its potential to reshape fundamental physics.

arXiv comment72 pages, 3 figures, Shorter abstract, Review paper published in International Journal of Theoretical Physics

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Cited by in corpus (5)

• Einstein-Gauss-Bonnet-Myrzakulov Gravity from $R+F(T,G)$: Numerical Insights and Torsion-Gauss-Bonnet Dynamics in Weitzenböck Spacetime
• Inflation in Myrzakulov $F(R,T)$ Gravity: A Comparative Study in Metric, Symmetric Teleparallel, and Weitzenböck Formalisms
• Cosmological Reconstructions in Einstein--Cartan--Myrzakulov Gravity with Torsion and Non-Metricity in the Weitzenböck Geometrical Sector
• Dark Matter Constraints in Myrzakulov $F(R,T)$ Gravity: A Vielbein Approach in Weitzenböck Spacetime with Observational Data
• Wald Entropy in Extended Modified Myrzakulov Gravity Theories: \(f(R, T, Q, R_{μν}T^{μν}, R_{μν}Q^{μν}, \dots)\)