You Cannot Press Out the Black Hole
Daisuke Ida, Takahiro Okamoto

TL;DR
This paper proves that certain topological transformations of black holes, such as pressing out a spherical black hole into a ring-shaped one, are impossible, establishing fundamental topological constraints.
Contribution
It introduces a new topological prohibition law for black hole transformations and extends no-bifurcation theorems to include topology change restrictions.
Findings
Pressing out a spherical black hole into a ring shape is impossible.
A general prohibition law for black hole topology change is established.
Includes a version of no-bifurcation theorems for black holes.
Abstract
It is shown that a ball-shaped black hole region homeomorphic with D**n cannot be pressed out, along whichever axis penetrating the black hole region, into a black ring with a doughnut-shaped black hole region homeomorphic with S**1 x D**(n-1). A more general prohibition law for the change of the topology of black holes, including a version of no-bifurcation theorems for black holes, is given.
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