Lanczos tensor
From Wikipedia, the free encyclopedia
There are two different tensors sometime referred to as the Lanczos tensor (both named after Cornelius Lanczos):
- A tensor in the theory of quadratic Lagrangians, which vanishes in four dimensions.
- The potential tensor H for the Weyl tensor C, this can be expressed as:
where the Lanczos tensor has the symmetries
and where Hbd is defined by
Thus, the Lanczos potential tensor is a gravitational field analog of the vector potential A for the electromagnetic field.
