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Provides the covariant Riemann curvature tensor \(R_{ijkl}\).

Usage

riemann(g)

Arguments

g

A covariant metric tensor, a "metric_field" object. See metric_field() to create a new metric tensor, or use predefined metrics, e.g. g_eucl_cart().

Value

Returns the covariant Riemann curvature tensor \(R_{ijkl}\) as rank 4 array().

See also

Wikipedia: Riemann curvature tensor

Other geometric tensors: christoffel(), ricci(), ricci_sc()

Examples

riemann(g_eucl_sph(3))
#> <Labeled Array> [3x3x3x3] .(-j, -l, -k, -i2)