Cosmological Dynamics of A Five-Dimensional Kaluza-Klein Universe In f(R,T) Gravity with Hybrid Power-Exponential Expansion
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Abstract: We study cosmological dynamics in a five-dimensional Kaluza-Klein universe using modified gravity. We choose a linear coupling between the Ricci scalar and the trace of the energy-momentum tensor : , where is negative. This form naturally yields a time-dependent cosmological constant influenced by the cosmic fluid. We apply a hybrid power-exponential volumetric expansion function, . For this scenario, we derive the complete field equations in the five-dimensional metric and calculate cosmological parameters: pressure, energy density, equation of state, deceleration parameter, and statefinder diagnostics. Our results demonstrate how modified gravity and an extra dimension influence expansion, shedding light on dark energy and higher-dimensional cosmology.
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