Marcus Khuri   Martin Reiris   Gilbert Weinstein   Sumio Yamada   
Pure and Applied Mathematics Quarterly 2022年12月 [査読有り][招待有り]
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 latter solutions are referred to as gravitational
solitons. Further p...
Marcus Khuri   Gilbert Weinstein   Sumio Yamada   
Physical Review D 104 2021年8月 [査読有り]
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 negative mass black holes. The resulting
spacetimes are axisymmetri...
Marcus Khuri   Gilbert Weinstein   Sumio Yamada   
Journal of High Energy Physics 2020 2020年12月 [査読有り]
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, which have Kasner asymptotics. A variety of
examples are constructed,...