Inflation in Myrzakulov F(R,T) gravity: A comparative study in metric, symmetric teleparallel, and Weitzenböck formalisms
Momeni D. Myrzakulov R.
September 2025Elsevier B.V.
Nuclear Physics B
2025#1018
We present a unified treatment of cosmic inflation within the framework of Myrzakulov Gravity, exploring its realization in three different formalisms: metric (curvature-based), teleparallel (torsion-based), and symmetric teleparallel (non-metricity-based). For each case, we derive the corresponding field equations in a flat FLRW background, study inflationary solutions driven by a scalar field, and compute observable quantities such as the scalar spectral index ns and the tensor-to-scalar ratio r. In addition to these geometric sectors, we extend our analysis to the more general and dynamically richer Myrzakulov F(R,T) gravity, which incorporates both curvature R and torsion T in a unified action. We derive the inflationary dynamics in this hybrid model and investigate how it interpolates between pure f(R) and f(T) behaviors. The resulting framework allows for enhanced flexibility in matching Planck and BICEP/Keck observational constraints. We present analytic estimates and schematic predictions in the ns–r plane, demonstrating that appropriately chosen parameters in F(R,T) models can produce viable and distinguishable inflationary signatures. This comparative and extended study highlights the potential of Myrzakulov Gravity and its generalizations to provide a consistent and geometrically motivated description of the early universe, with predictive power across different formulations of spacetime geometry.
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Department of Physics, Northeast Community College, 801 E Benjamin Ave, Norfolk, 68701, NE, United States
Centre for Space Research, North-West University, Potchefstroom, 2520, South Africa
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana, 010009, Kazakhstan
L. N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Department of Physics
Centre for Space Research
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
L. N. Gumilyov Eurasian National University
10 лет помогаем публиковать статьи Международный издатель
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