\begin{definition}[Definition:Lorentzian Metric]
Let $g$ be a pseudo-Riemannian metric.
Suppose the signature of $g$ is $\tuple {r, 1}$.
Then $g$ is called the '''Lorentzian metric'''.
{{NamedforDef|Hendrik Antoon Lorentz|cat = Lorentz}}
\end{definition}