Einstein's Calculator

This application computes the following objects from the given metric:

Geodesic Equations
Christoffel Symbols
Riemann Curvature Tensor
Ricci Tensor
Ricci Scalar
Einstein Tensor

You need to specify the coordinate symbols and the symbols for any unknown functions. The allowed symbols are Latin and Greek letters (both uppercase and lowercase). Symbols for constants can be directly inserted into the metric.

You can check examples of metric tensors HERE

Dimension of the manifold

Coordinate symbols

The number of coordinates must be the same as the number of dimensions.

Symbols for the unknown functions in the metric

Leave empty if none.

Components of the metric tensor

If the component is zero, you can leave the cell empty.