34 citations · 172 across the 30 of their papers we have counts for
31 papers
Timelike Hilbert geometry of the spherical simplex
Athanase Papadopoulos, Sumio Yamada
We prove the following result on the timelike spherical Hilbert geometry of simplices: Let be a simplex on the 2-sphere and the antipodal simplex. We show that th…
Gravitational Solitons and Complete Ricci Flat Riemannian Manifolds of Infinite Topological Type
Marcus Khuri, Martin Reiris, Gilbert Weinstein +1
We present several new space-periodic solutions of the static vacuum Einstein equations in higher dimensions, both with and without black holes, having Kasner asymptotics. These la…
Balancing Static Vacuum Black Holes with Signed Masses in 4 and 5 Dimensions
Marcus Khuri, Gilbert Weinstein, Sumio Yamada
We construct a new set of asymptotically flat, static vacuum solutions to the Einstein equations in dimensions 4 and 5, which may be interpreted as a superposition of positive and…
5-Dimensional Space-Periodic Solutions of the Static Vacuum Einstein Equations
Marcus Khuri, Gilbert Weinstein, Sumio Yamada
An affirmative answer is given to a conjecture of Myers concerning the existence of 5-dimensional regular static vacuum solutions that balance an infinite number of black holes, wh…
Plumbing Constructions and the Domain of Outer Communication for 5-Dimensional Stationary Black Holes
Marcus Khuri, Yukio Matsumoto, Gilbert Weinstein +1
The topology of the domain of outer communication for 5-dimensional stationary bi-axisymmetric black holes is classified in terms of disc bundles over the 2-sphere and plumbing con…
Divergence equations and uniqueness theorem of static black holes
Masato Nozawa, Tetsuya Shiromizu, Keisuke Izumi +1
Equations of divergence type in static spacetimes play a significant role in the proof of uniqueness theorems of black holes. We generalize the divergence equation originally disco…