Negative Komar Mass of Single Objects in Regular, Asymptotically Flat Spacetimes

Details Negative Komar Mass of Single Objects in Regular, Asymptotically Flat Spacetimes Negative Komar Mass of Single Objects in Regular, Asymptotically Flat Spacetimes

2006-07-21

arxiv.org/abs/gr-qc/0607091v2

Class.Quant.Grav. 23 (2006) L81

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 2 figures, document class iopart. v2: changes made (including title) to coincide with published version

Scientific paper

10.1088/0264-9381/23/24/L01

We study two types of axially symmetric, stationary and asymptotically flat spacetimes using highly accurate numerical methods. The one type contains a black hole surrounded by a perfect fluid ring and the other a rigidly rotating disc of dust surrounded by such a ring. Both types of spacetime are regular everywhere (outside of the horizon in the case of the black hole) and fulfil the requirements of the positive energy theorem. However, it is shown that both the black hole and the disc can have negative Komar mass. Furthermore, there exists a continuous transition from discs to black holes even when their Komar masses are negative.

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