45 citations · 95 across the 8 of their papers we have counts for
8 papers
Multi-localized time-symmetric initial data for the Einstein vacuum equations
John Anderson, Justin Corvino, Federico Pasqualotto
We construct a class of time-symmetric initial data sets for the Einstein vacuum equation modeling elementary configurations of multiple ``almost isolated" systems. Each such initi…
Localized deformation for initial data sets with the dominant energy condition
Justin Corvino, Lan-Hsuan Huang
We consider localized deformation for initial data sets of the Einstein field equations with the dominant energy condition. Deformation results with the weak inequality need to be…
Deformation of Scalar Curvature and Volume
Justin Corvino, Michael Eichmair, Pengzi Miao
The stationary points of the total scalar curvature functional on the space of unit volume metrics on a given closed manifold are known to be precisely the Einstein metrics. One ma…
Scalar Curvature and the Einstein Constraint Equations
Justin Corvino, Daniel Pollack
We survey some results on scalar curvature and properties of solutions to the Einstein constraint equations. Topics include an extended discussion of asymptotically flat solutions…
Construction of N-body initial data sets in general relativity
Piotr T. Chruściel, Justin Corvino, James Isenberg
Given a collection of N solutions of the (3+1) vacuum Einstein constraint equations which are asymptotically Euclidean, we show how to construct a new solution of the constraints w…
Construction of N-body time-symmetric initial data sets in general relativity
Piotr T. Chruściel, Justin Corvino, James Isenberg
Given a collection of N asymptotically Euclidean ends with zero scalar curvature, we construct a Riemannian manifold with zero scalar curvature and one asymptotically Euclidean end…