A note on the area of event horizon of Kleinian black hole

TL;DR

This paper discusses how the event horizon area of Kleinian black holes is infinite because their horizons are hyperboloids, challenging traditional interpretations based on spherical horizons.

Contribution

It highlights the geometric difference of Kleinian black holes' horizons and its implications for black hole physics.

Findings

Event horizon area of Kleinian black holes is infinite.

Their horizons are hyperboloids, not spheres.

Standard black hole interpretations may not apply.

Abstract

We point out that the area of event horizon of Kleinian black hole is infinite due to the fact that its event horizon is not a sphere but a hyperboloid. Therefore, the usual interpretations of Schwarzschild black hole might not be applicable to the Kleinian black hole.