10 citations · 32 across the 22 of their papers we have counts for
22 papers
Classification of Maximally Charged Black Holes
Sven Hirsch, Yiyue Zhang
We characterize all maximally charged black hole spacetimes in dimensions. More precisely, given any initial data set saturating the mass-charge inequality that sat…
The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions
Sven Hirsch, Marcus Khuri, Martin Lesourd +1
Using the recent work of Brendle--Wang on the Riemannian positive mass theorem, we prove the spacetime positive mass theorem for asymptotically flat and asymptotically hyperboloida…
On a Variant of the Penrose Conjecture
Sven Hirsch, Yipeng Wang
We give a counterexample to a recently conjectured variant of the Penrose inequality.
Stable -systoles, scalar curvature and spin comass bounds
Simone Cecchini, Sven Hirsch, Rudolf Zeidler
We prove a sharp stable -systolic inequality for complex projective space under the scalar curvature lower bound of the normalized Fubini-Study metric. If is diffeomorphic t…
The Spacetime Positive Mass Theorem with Multiple Time Dimensions
Sven Hirsch, Alec Payne, Yiyue Zhang
We generalize the spacetime positive mass theorem to include multiple time dimensions. In particular, we show that the mass remains nonnegative in the sense that the energy is…
Causal character of imaginary Killing spinors and spinorial slicings
Sven Hirsch, Yiyue Zhang
We characterize spin initial data sets that saturate the BPS bound in the asymptotically AdS setting. This includes both gravitational waves and rotating black holes in higher dime…
Rigidity of Asymptotically Hyperboloidal Initial Data Sets with Vanishing Mass
Sven Hirsch, Hyun Chul Jang, Yiyue Zhang
In Special Relativity, massless objects are characterized as either vacuum states or as radiation propagating at the speed of light. This distinction extends to General Relativity…
Initial data sets with vanishing mass are contained in pp-wave spacetimes
Sven Hirsch, Yiyue Zhang
In 1981, Schoen-Yau and Witten showed that in General Relativity both the total energy and the total mass of an initial data set modeling an isolated gravitational system a…
Stability of Llarull's theorem in all dimensions
Sven Hirsch, Yiyue Zhang
Llarull's theorem characterizes the round sphere among all spin manifolds whose scalar curvature is bounded from below by . In this paper we show that if the scalar c…
Spectral Torical Band Inequalities and Generalizations of the Schoen-Yau Black Hole Existence Theorem
Sven Hirsch, Demetre Kazaras, Marcus Khuri +1
Generalized torical band inequalities give precise upper bounds for the width of compact manifolds with boundary in terms of positive pointwise lower bounds for scalar curvature, a…
Monotone quantities of -harmonic functions and their applications
Sven Hirsch, Pengzi Miao, Luen-Fai Tam
We derive local and global monotonic quantities associated to -harmonic functions on manifolds with nonnegative scalar curvature. As applications, we obtain inequalities relatin…
Hawking Mass Monotonicity for Initial Data Sets
Sven Hirsch
We introduce new systems of PDE on initial data sets whose solutions model double-null foliations. This allows us to generalize Geroch's monotonicity formula for the Hawk…
Rigid comparison geometry for Riemannian bands and open incomplete manifolds
Sven Hirsch, Demetre Kazaras, Marcus Khuri +1
Comparison theorems are foundational to our understanding of the geometric features implied by various curvature constraints. This paper considers manifolds with a positive lower b…
A generalization of Geroch's conjecture
Simon Brendle, Sven Hirsch, Florian Johne
The Theorem of Bonnet--Myers implies that manifolds with topology do not admit a metric of positive Ricci curvature, while the resolution of Geroch's…
The case of equality for the spacetime positive mass theorem
Sven Hirsch, Yiyue Zhang
The rigidity of the spacetime positive mass theorem states that an initial data set satisfying the dominant energy condition with vanishing mass can be isometrically embe…
Spacetime Harmonic Functions and Applications to Mass
Hubert Bray, Sven Hirsch, Demetre Kazaras +2
In the pioneering work of Stern, level sets of harmonic functions have been shown to be an effective tool in the study of scalar curvature in dimension 3. Generalizations of this i…
Mass of asymptotically flat -manifolds with boundary
Sven Hirsch, Pengzi Miao, Tin-Yau Tsang
We study the mass of asymptotically flat -manifolds with boundary using the method of Bray-Kazaras-Khuri-Stern. More precisely, we derive a mass formula on the union of an asymp…
Spacetime Harmonic Functions and the Mass of 3-Dimensional Asymptotically Flat Initial Data for the Einstein Equations
Sven Hirsch, Demetre Kazaras, Marcus Khuri
We give a lower bound for the Lorentz length of the ADM energy-momentum vector (ADM mass) of 3-dimensional asymptotically flat initial data sets for the Einstein equations. The bou…
Contracting convex surfaces by mean curvature flow with free boundary on convex barriers
Sven Hirsch, Martin Li
We consider the mean curvature flow of compact convex surfaces in Euclidean -space with free boundary lying on an arbitrary convex barrier surface with bounded geometry. When th…
Flatly Foliated Relativity
Hubert Bray, Benjamin Hamm, Sven Hirsch +2
Flatly Foliated Relativity (FFR) is a new theory which conceptually lies between Special Relativity (SR) and General Relativity (GR), in which spacetime is foliated by flat Euclide…
On the Moduli Space of Asymptotically Flat Manifolds with Boundary and the Constraint Equations
Sven Hirsch, Martin Lesourd
Let be a closed -manifold, the space of metrics on with positive scalar curvature, and the group of diffeomorphisms of . Marques…
A Positive Mass Theorem for Manifolds with Boundary
Sven Hirsch, Pengzi Miao
We derive a positive mass theorem for asymptotically flat manifolds with boundary whose mean curvature satisfies a sharp estimate involving the conformal Green's function. The theo…