Vector module

This module contains the class GenericVector to represent a vector in arbitrary space-time symbolically

class einsteinpy.symbolic.vector.GenericVector(arr, syms, config='u', parent_metric=None, name='GenericVector')[source]

Bases: BaseRelativityTensor

Class to represent a vector in arbitrary space-time symbolically

Constructor and Initializer

Parameters:

  • arr (ImmutableDenseNDimArray) – Sympy Array containing Sympy Expressions

  • syms (tuple or list) – Tuple of crucial symbols denoting 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 ‘u’.

  • parent_metric (MetricTensor or None) – Corresponding Metric for the Generic Vector. Defaults to None.

  • name (str) – Name of the Vector. Defaults to “GenericVector”.

Raises:
change_config(newconfig='u', metric=None)[source]

Changes the index configuration(contravariant/covariant)

Parameters:

  • newconfig (str) – Specify the new configuration. Defaults to ‘u’

  • metric (MetricTensor or None) – Parent metric tensor for changing indices. Already assumes the value of the metric tensor from which it was initialized if passed with None. Defaults to None.

Returns:

New tensor with new configuration.

Return type:

GenericVector

Raises:

Exception – Raised when a parent metric could not be found.

lorentz_transform(transformation_matrix)[source]

Performs a Lorentz transform on the vector.

Parameters:

transformation_matrix (ImmutableDenseNDimArray or list) – Sympy Array or multi-dimensional list containing Sympy Expressions

Returns:

lorentz transformed vector

Return type:

GenericVector