Does the Schwarzschild black hole really exist?

TL;DR

This paper investigates the stability of Schwarzschild black holes using Kruskal coordinates, suggesting that the black hole region may be unstable, challenging the traditional view of their stability.

Contribution

It introduces a new perspective on black hole stability by analyzing the Schwarzschild spacetime through Kruskal coordinates, highlighting potential instability.

Findings

White-hole-connected region is unstable

Black-hole-connected region is stable

Schwarzschild black hole might be unstable

Abstract

We use the Kruskal time coordinate T to define the initial time. By this way, it naturally divides the stable study into one connected with the two regions: the white-hole-connected region and the black-hole-connected region. The union of the two regions covers the Schwarzschild space-time (r>2m). We also obtain the very reasonable conclusion: the white-hole-connected region is instable; whereas the black-hole-connected region is stable. If we take the instability with caution and seriousness, it might be not unreasonable to regard that the Schwarzschild black hole might be instable too.