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arXiv · 1508.02337

Remarks on mass and angular momenta for $U(1)^2$-invariant initial data

Aghil Alaee·Hari K. Kunduri
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Abstract

We extend Brill's positive mass theorem to a large class of asymptotically flat, maximal, $U(1)^2$-invariant initial data sets on simply connected four dimensional manifolds $Σ$. Moreover, we extend the local mass angular momenta inequality result Ref [1] for $U(1)^2$ invariant black holes to the case with nonzero stress energy tensor with positive matter density and energy-momentum current invariant under the above symmetries.

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Aghil Alaee, Hari K. Kunduri. 2015-12-06. Remarks on mass and angular momenta for $U(1)^2$-invariant initial data. https://doi.org/10.1063/1.4944426

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