@article {637695,
	title = {Mass functional for initial data in 4 + 1 -dimensional spacetime},
	journal = {Physical Review D.},
	volume = {90},
	number = {12},
	year = {2014},
	pages = {124078},
	abstract = {We consider a broad class of asymptotically flat, maximal initial data sets satisfying the vacuum constraint equations, admitting two commuting rotational symmetries. We construct a mass functional for \(t-\phi^i\)-symmetric data which evaluates to the Arnowitt-Deser-Misner mass. We then show that \(\mathbb{R}\times U(1)^2\)-invariant solutions of the vacuum Einstein equations are critical points of this functional amongst this class of data. We demonstrate the positivity of this functional for a class of rod structures which include the Myers-Perry initial data. The construction is a natural extension of Dain{\textquoteright}s mass functional to \(D=5\), although several new features arise.},
	url = {https://journals.aps.org/prd/abstract/10.1103/PhysRevD.90.124078},
	author = {Aghil Alaee and Hari Kunduri}
}
