A derivation of Weyl-Lanczos equations

TL;DR

This paper derives the Weyl-Lanczos equations from a quadratic curvature Lagrangian using exterior algebra and variational principles, providing a new theoretical foundation for understanding the Lanczos potential.

Contribution

It introduces a novel derivation of the Weyl-Lanczos equations based on a quadratic curvature Lagrangian and exterior algebra methods.

Findings

Derived the Weyl-Lanczos equations from a quadratic curvature Lagrangian.

Utilized exterior algebra of forms and variational principles with constraints.

Provided a new theoretical approach to the Lanczos potential for the Weyl tensor.

Abstract

The Lanczos potential for the Weyl tensor is derived from a quadratic curvature Lagrangian by making use of the exterior algebra of forms and the variational principles with constraints.