12 citations · 23 across the 3 of their papers we have counts for
3 papers
gr-qc2017★ 12 cited
Toroidal trapped surfaces and isoperimetric inequalities
Janusz Karkowski, Patryk Mach, Edward Malec +2
We analytically construct an infinite number of trapped toroids in spherically symmetric Cauchy hypersurfaces of the Einstein equations. We focus on initial data which represent "c…
gr-qc2011★ 10 cited
Existence and uniqueness of Bowen-York Trumpets
G. Waxenegger, R. Beig, N. Ó Murchadha
We prove the existence of initial data sets which possess an asymptotically flat and an asymptotically cylindrical end. Such geometries are known as trumpets in the community of nu…
gr-qc2003★ 1 cited
Constant mean curvature slices in the extended Schwarzschild solution and collapse of the lapse. Part II
Edward Malec, Niall Ó Murchadha
An explicit CMC Schwarzschildean line element is derived near the critical point of the foliation, the lapse is shown to decay exponentially, and the coefficient of the exponent is…