MG11 
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The extreme distortion of black holes due to matter

A highly accurate multi-domain spectral method is used to study axially symmetric and stationary spacetimes containing a Black Hole surrounded by a ring of matter. It is shown that the matter ring can affect the properties of the Black Hole drastically. In particular, by virtue of the ring's frame dragging, the so-called Komar Mass of the Black Hole can become negative.

Negative Komar masses in regular stationary spacetimes

A highly accurate multi-domain spectral method is used to study axially symmetric and stationary spacetimes containing a black hole or disk of dust surrounded by a ring of matter. It is shown that the matter ring can affect the properties of the central object drastically. In particular, by virtue of the ring's frame dragging, the so-called Komar Mass of the black hole or disk can become negative. A continuous transition from such disks to such black holes can be found.