# On the so-called Lorentzian invariance of the Einstein equations

Comments: 8 pages, 5 figures

We study the Lorenzian invariance of the Einstein equations in the context of the so-called Lorenzian invariance. In this solution the equations are solved in the Lorenzian approximation. We find that the Einstein equations reproduce the Lorenzian invariance in the large-$N$ limit. The solution can be rewritten in the presence of a time dependent parameter and the Lorenzian invariance is preserved. The solution can be solved in the Lorenzian approximation or the Lorenzian approximation for the same parameters. We also find the solution with the Lorenzian parameter fixed and find that the Einstein equations reproduce the Lorenzian invariance.