SchoutenTensor

Schouten tensor — used in conformal geometry.

class gravica.schouten.SchoutenTensor(ricci)

Bases: object

Schouten tensor \(S_{ab} = \frac{1}{n-2}\bigl(R_{ab} - \frac{R\,g_{ab}}{2(n-1)}\bigr)\).

Used in conformal geometry; the Weyl tensor can be expressed in terms of the Schouten tensor and the metric.

classmethod from_metric(metric)

Build from a MetricTensor.

Return type:

SchoutenTensor

property scalar: Expression

property components: list[list[Expression]]

\(S_{ab}\) indexed as [a][b].