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The concept of an extremal black hole is theoretical and none have thus far been observed in nature.
Black holes saturating this inequality are called extremal black hole.
Extremal black holes have vanishing surface gravity.
It has been suggested by Sean Carroll that the entropy of an extremal black hole is equal to zero.
One of his most recent contributions include the entropy function formalism for extremal black holes and its applications to attractors.
In supersymmetric theories, extremal black holes are often supersymmetric: they are invariant under several supercharges.
Extremal black hole (Black hole electron)
NHMs play an important role in studying the geometry and topology of black holes, but are only well defined for extremal black holes.
In theoretical physics, an extremal black hole is a black hole with the minimal possible mass that can be compatible with a given charge and angular momentum.
The calculations of the properties of near-extremal black holes are usually performed using perturbation theory around the extremal black hole; the expansion parameter is called non-extremality.
Their black hole entropy can often be calculated in string theory, much like in the case of extremal black holes, at least to the first order in non-extremality.
There was no change evident in the ops room, no shaking or shuddering or sudden leaden-limbed feeling of acceleration, but inside the guts of the starship, the extremal black hole twisted in sudden torment; the Lord Vanek fell forward at full military acceleration, four hundred meters per second squared, more than forty gees.