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Negative Komar mass of single objects in regular, asymptotically flat spacetimes

MPG-Autoren

Ansorg,  Marcus
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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cqg6_24_l01.pdf
(Verlagsversion), 165KB

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Zitation

Ansorg, M., & Petroff, D. (2006). Negative Komar mass of single objects in regular, asymptotically flat spacetimes. Classical and Quantum Gravity, 23(24), L81-L87.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-0013-4A41-9
Zusammenfassung
We study two types of axially symmetric, stationary and asymptotically flat spacetimes using highly accurate numerical methods. 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 a negative Komar mass. Furthermore, there exists a continuous transition from discs to black holes even when their Komar masses are negative.