Provides the covariant Ricci curvature tensor \(R_{ij}=R^{s}_{i s j}\).
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 Ricci curvature tensor \(R_{ij}\)
as rank 2 array().
See also
Wikipedia: Ricci curvature tensor
Other geometric tensors:
christoffel(),
ricci_sc(),
riemann()
Examples
ricci(g_eucl_sph(3))
#> [,1] [,2] [,3]
#> [1,] "0" "0" "0"
#> [2,] "0" "0" "0"
#> [3,] "0" "0" "0"