Ricci Calculus


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Documentation for package ‘ricci’ version 0.1.1

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%_% Create a labeled array (tensor)
. Index slot label specification
as.array.tensor Strip array labels
asym Antisymmetric tensor part
as_a Strip array labels
at Evaluate a symbolic array
at.array Evaluate a symbolic array
at.tensor Evaluate a symbolic array
christoffel Christoffel symbols
covd Covariant Derivative
d Kronecker delta
e Levi-Civita epsilon
expect_tensor_equal Does code return the expected value?
g_eucl_cart Euclidean metric tensor
g_eucl_sph Euclidean metric tensor
g_mink_cart Minkowski metric tensor
g_mink_sph Minkowski metric tensor
g_sph Metric tensor of the sphere
g_ss Schwarzschild metric tensor
kron Kronecker product
l Lower tensor indices
metric_field Create a metric tensor field
Ops.tensor Arithmetic tensor operations
r Raise tensor indices
ricci Ricci curvature tensor
ricci_sc Ricci scalar
riemann Riemann curvature tensor
simplify Simplify symbolic expressions
subst Substitute tensor labels
sym Symmetric tensor part
tensor Create a labeled array (tensor)