78 citations · 449 across the 34 of their papers we have counts for
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gr-qc2011★ 23 cited
Existence of singularities in two-Kerr black holes
Piotr T. Chruściel, Michał Eckstein, Luc Nguyen +1
We show that the angular momentum - area inequality 8π|J| =< A for weakly stable minimal surfaces would apply to (I^+)-regular many-Kerr solutions, if any existed. Hence we remove…
math.AP2011★ 13 cited
Interior Regularity Estimates in High Conductivity Homogenization and Application
Marc Briane, Yves Capdeboscq, Luc Nguyen
In this paper, uniform pointwise regularity estimates for the solutions of conductivity equations are obtained in a unit conductivity medium reinforced by a epsilon-periodic lattic…
gr-qc2011★ 4 cited
A lower bound for the mass of axisymmetric connected black hole data sets
Piotr T. Chruściel, Luc Nguyen
We present a generalisation of the Brill-type proof of positivity of mass for axisymmetric initial data to initial data sets with black hole boundaries. The argument leads to a str…