Tensors in general relativity

type of potential energy

tensor field in general relativity and geometry

covariantly conserved rank-2 tensor field on a Riemannian manifold, defined in terms of the Ricci curvature

2-tensor obtained as a contraction of the Riemann curvature 4-tensor on a Riemannian manifold (or, more generally, a smooth manifold equipped with affine connection)

mathematical object that describes the electromagnetic field in spacetime

rank 2 tensor used to describe gravitation in general relativity and other field theories

measure of the curvature of a pseudo-Riemannian manifold

approximation of General Relativity

In physics and mathematics, a pseudotensor is usually a quantity that transforms like a tensor under an orientation-preserving coordinate transformation (e.g. a proper rotation) but additionally changes sign under an orientation-reversing coordinate transformation (e.g., an improper rotation), which is a transformation that can be expressed as a proper rotation followed by reflection. This is a generalization of a pseudovector. To evaluate a tensor or pseudotensor sign, it has to be contracted with some vectors, as many as its rank is, belonging to the space where the rotation is made while ke

classification of the possible algebraic symmetries of the Weyl tensor at each point in a Lorentzian manifold

rank-3 tensor defined for a 3d (pseudo-)Riemannian manifold which measures the degree to which it fails to be conformally flat

generalization of tensor fields

trace-free tensor of rank 2 which is conformally invariant in four dimensions

second-order tensor