Applications of Tensors and Differential Geometry in Relativity and Cosmology
DOI:
https://doi.org/10.59436/jsiane.427.2583-2093Keywords:
Tensors, Differential Geometry, relativity, cosmologyAbstract
In this paper we have discussed about the application of tensor calculus and differential geometry in the field relativity and cosmology. Tensor and differential geometry provide the mathematical foundation for relativity and cosmology, describing gravity as the curvature of space-time. In general relativity, the metric tensor defines space-time's geometric structure and is central part of the Field Equations given by Einstein, which link curvature to presence of mass and energy. This framework explains phenomena like gravitational lensing, black hole behaviour, and the expansion of the universe.
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