We prove nonlinear Lyapunov stability of a family of “(n+ 1)”-dimensional cosmological
models of general relativity locally isometric to the Friedman–Lemaître–Robertson–Walker …

In this paper, we present a partial result on the global well-posedness of the Cauchy
problem for the Einstein–Yang–Mills system in constant mean extrinsic curvature spatial …

CMC (constant mean curvature) Cauchy surfaces play an important role in mathematical
relativity as finding solutions to the vacuum Einstein constraint equations is made much …

Here we prove the linear stability of a family of'n+ 1'-dimensional cosmological models of
general relativity locally isometric to the Friedmann Lemaître Robertson Walker (FLRW) …

Abstract In 2002, Isenberg–Mazzeo–Pollack (IMP) constructed a family of vacuum initial data
sets via a gluing construction. In this paper, we investigate some local geometry of these …

In this article spacelike hypersurfaces immersed in twisted product spacetimes I× f F with
complete fiber are studied. Several conditions ensuring global hyperbolicity are presented …

We study the local well-posedness of the Einstein-Yang-Mills equations in constant mean
extrinsic curvature spatial harmonic generalized Coulomb gauge. In this choice of gauge …

Timelike sectional curvature bounds play an important role in spacetime geometry, both for
the understanding of classical smooth spacetimes and for the study of Lorentzian (pre-) …

As is well known, constant mean curvature (CMC) spacelike hypersurfaces play an
important role in solving the Einstein equations, both in solving the contraints and the …

In this article, we extend a construction of [6] to obtain a large class of vacuum cosmological
spacetimes that do not contain any CMC Cauchy surfaces. The allowed spatial topologies …