Some constraints for the extensions of the degenerate Ferrari and Ibanez solution

TL;DR

This paper introduces quantum effects to establish conditions for extending the Ferrari and Ibanez solution in gravitational wave interactions, demonstrating black hole formation under certain energy conditions.

Contribution

It provides the first set of constraints for the extensions of the Ferrari and Ibanez solution using quantum effects.

Findings

Quantum effects constrain extensions of the solution.

Schwarzschild black holes can form from low-energy gravitational wave collisions.

Conditions for extensions are explicitly derived.

Abstract

There exist two extensions to the interaction region of the Ferrari and Ibanez solution. However, no one gives the corresponding conditions for each extension. To solve this problem, we have introduced quantum effects to constrain these extensions and given the corresponding conditions. By calculation, the Schwarzschild black hole can form after gravitational waves colliding whose expected energy is small.