Definition:Lorentzian Metric

Definition

Let $g$ be a pseudo-Riemannian metric.

Suppose the signature of $g$ is $\tuple {r, 1}$.

Then $g$ is called the Lorentzian metric.

Source of Name

This entry was named for Hendrik Antoon Lorentz.

Sources

• 2018: John M. Lee: Introduction to Riemannian Manifolds (2nd ed.) ... (previous) ... (next): $\S 2$: Riemannian Metrics. Pseudo-Riemannian Metrics