Purpose

This thorn provides analysis routines to calculate the following quantities:

• The trace of the extrinsic curvature ($trK$).
• The determinant of the 3-metric ($detg$).
• The components of the 3-metric in spherical coordinates
  ( $g_{rr},g_{r\theta},g_{r\phi},g_{\theta\theta},g_{\phi\theta},g_{\phi\phi}$).
• The components of the extrinsic curvature in spherical coordinates
  ( $K_{rr},K_{r\theta},K_{r\phi},K_{\theta\theta},K_{\theta\phi},K_{\phi\phi}$).
• The components of the 3-Ricci tensor in cartesian coordinates
  (${\cal R}_{ij}$) for $i,j \in \{1,2,3\}$.
• The Ricci scalar (${\cal R}$).