Ricci Tensor Module¶
This module contains the class for obtaining Ricci Tensor related to a Metric belonging to any arbitrary space-time symbolically:
-
class
einsteinpy.symbolic.ricci.RicciTensor(arr, syms, config='ll', parent_metric=None)¶ Class for defining Ricci Tensor
Constructor and Initializer
- Parameters
arr (ImmutableDenseNDimArray or list) – Sympy Array or multi-dimensional list containing Sympy Expressions
syms (tuple or list) – Tuple of crucial symbols dentoting time-axis, 1st, 2nd, and 3rd axis (t,x1,x2,x3)
config (str) – Configuration of contravariant and covariant indices in tensor. ‘u’ for upper and ‘l’ for lower indices. Defaults to ‘ll’.
- Raises
TypeError – Raised when arr is not a list or sympy Array
TypeError – syms is not a list or tuple
ValueError – config has more or less than 2 indices
-
classmethod
from_riemann(riemann)¶ Get Ricci Tensor calculated from Riemann Tensor
- Parameters
riemann (RiemannCurvatureTensor) – Riemann Tensor
-
classmethod
from_christoffels(chris)¶ Get Ricci Tensor calculated from Christoffel Tensor
- Parameters
chris (ChristoffelSymbols) – Christoffel Tensor
-
classmethod
from_metric(metric)¶ Get Ricci Tensor calculated from Metric Tensor
- Parameters
metric (MetricTensor) – Metric Tensor
