On the Uniqueness of the Papapetrou--Majumdar Metric
M. Heusler (University of Zurich)
TL;DR
This paper proves that in certain static electrovac black hole spacetimes with degenerate horizons, the ADM mass equals the total electric charge, highlighting a key property of these solutions.
Contribution
It establishes the equality of ADM mass and electric charge for a broad class of static electrovac black holes with degenerate horizons, extending previous results.
Findings
ADM mass equals total electric charge in the specified spacetimes
Applicable to asymptotically flat, static black holes with degenerate horizons
Includes cases with disconnected horizons
Abstract
We establish the equality of the ADM mass and the total electric charge for asymptotically flat, static electrovac black hole spacetimes with completely degenerate, not necessarily connected horizon.
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