Mathematical Models of Spacetime Dynamics in Relativistic Cosmology
Keywords:
Relativistic cosmology; Spacetime dynamics; Einstein field equations; Friedmann–Lemaître Robertson–Walker spacetime; Exact cosmological solutions; Scalar field cosmology; Dynamical systems; Stability analysis; Cosmological perturbations; Differential geometryAbstract
The relativistic cosmology offers a geometry definition of the universe that the dynamics of spaceand time are the interaction of curvature and matter, as dictated by field equations of Einstein. In thispaper, a mathematically oriented analysis of the dynamics of spacetime in the framework of relativistic cosmology with a particular focus on the derivation,
References
Ahmed (2024) presented a comprehensive exposition of tensor calculus, emphasizing its foundational role in connecting mathematical formalism with the physical structure of general relativity.


