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In the last chapters we have worked out, that there is no global inertial system in the presence of a non-homogeneous gravitational field and that spacetime is curved when gravity is effective. We have derived the quantities needed to describe the curvature of spacetime using mathematical arguments, and we want to focus more on the physical laws of spacetime in this chapter. We need to investigate how physical objects (such as particles or fluids) behave in curved spacetime, and find out how, conversely, the curvature of spacetime is generated and determined by these objects.

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Riemannian Space and Einstein Equations

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  • 发表日期：

    2026年

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  • Michael Ruhrländer

摘要

In the last chapters we have worked out, that there is no global inertial system in the presence of a non-homogeneous gravitational field and that spacetime is curved when gravity is effective. We have derived the quantities needed to describe the curvature of spacetime using mathematical arguments, and we want to focus more on the physical laws of spacetime in this chapter. We need to investigate how physical objects (such as particles or fluids) behave in curved spacetime, and find out how, conversely, the curvature of spacetime is generated and determined by these objects.