A counter-example to a recent version of the Penrose conjecture

TL;DR

This paper constructs counterexamples to a recent version of the Penrose inequality using axially symmetric slices in Kruskal spacetime, challenging the conjecture's validity in certain conditions.

Contribution

It provides the first explicit counterexamples to a recent generalized Penrose inequality in the context of axially symmetric slices.

Findings

Counterexamples invalidate the recent Penrose inequality version.

Counterexamples are based on axially symmetric slices in Kruskal spacetime.

The results challenge the universality of the generalized Penrose inequality.

Abstract

By considering suitable axially symmetric slices on the Kruskal spacetime, we construct counterexamples to a recent version of the Penrose inequality in terms of so-called generalized apparent horizons.