Forgógörbülets

Forgógörbülets is a term of Hungarian origin that translates to "rotational curvature" or "spin curvature". It refers to a concept in differential geometry that describes the intrinsic curvature of a manifold that arises from the action of rotations. In simpler terms, it quantifies how much a manifold is "twisted" or "curved" due to rotational forces acting upon it.

The concept is particularly relevant in theoretical physics, especially in the study of gravity and spacetime. In Einstein's theory of general relativity, spacetime is not a static backdrop but a dynamic entity that can be curved by the presence of mass and energy. Rotational curvature, in this context, can be associated with the effects of rotating masses or the intrinsic angular momentum of spacetime itself.

While the term might not be as widely used as concepts like Ricci curvature or scalar curvature, it provides a specific lens through which to analyze certain aspects of geometric structures. It helps in understanding the behavior of physical systems where rotation plays a significant role, such as the dynamics of celestial bodies or the properties of exotic spacetime geometries. The mathematical formulation of forgógörbülets involves the study of curvature tensors and their relationship to the Lie derivatives of vector fields, particularly those associated with rotational symmetry.