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Kerr-Newman Penrose Inequality

The Kerr-Newman Penrose inequality is a mass-area-charge-angular-momentum comparison of the form

m^2>=A/(16pi)+(Q^2)/2+(pi(Q^4+4J^2))/A.

Its physical area branch is A>=4pisqrt(Q^4+4J^2). Both the area convention and the definition of angular momentum J are essential.

See also

ADM Mass, Charged Penrose Inequality, Marginally Outer Trapped Surface, Penrose Inequality

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References

Dain, S. and Gabach-Clement, M. E. "Geometrical Inequalities Bounding Angular Momentum and Charges in General Relativity." Living Rev. Relativ. 21, Article 5, 2018. https://doi.org/10.1007/s41114-018-0014-7.

Cite this as:

Weisstein, Eric W. "Kerr-Newman Penrose Inequality." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Kerr-NewmanPenroseInequality.html

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