arXiv research

Study the deformation theory of Einstein-Yang-Mills system on compact manifolds.

Study Einstein-Yang-Mills fields on specific manifolds, proving field deformations.

Study classifies Einstein-Yang-Mills spaces in 4D symmetric spaces.

Study wormholes in Einstein-Yang-Mills theory with a phantom field.

Proves local existence and extension principle for Einstein Yang--Mills system with spherical symmetry.

Stability of Minkowski space-time in higher dimensions proven for arbitrary small perturbations.

In this paper, we prove a convergence theorem for sequences of Einstein Yang-Mills systems on $U(1)$-bundles over closed $n$-manifolds with some bounds for volumes, diameters, $L^{2}$-norms of bundle curvatures and $L^{\frac{n}{2}}$-norms of curvature tensors. This result is a generalization of earlier compactness the…

Proves stability of Minkowski space-time in Einstein-Yang-Mills system.

Proves stability of Minkowski space-time for Einstein-Yang-Mills equations.

Stability of Minkowski space-time in Einstein-Yang-Mills system proven.

The paper explores Kaluza-Klein theories without assuming a fibration structure.

Developed a new symmetric hyperbolic formulation for Einstein-Yang-Mills system.

Let $P$ be a principal U(1)-bundle over a closed manifold $M$. On $P$, one can define a modified version of the Ricci flow called the Ricci Yang-Mills flow, due to these equations being a coupling of Ricci flow and the Yang-Mills heat flow. We use maximal regularity theory and ideas of Simonett concerning the asymptoti…

Starting with the most general four-dimensional spacetime possessing two commuting Killing vectors and a nontrivial Killing tensor, we analytically integrate Einstein-Yang-Mills equations for a completely arbitrary gauge group. It is assumed that the gauge field inherits the symmetries of the background and is aligned …

The paper introduces a trilinear functional to recover torsion in spectral triples.

For any positive integer $n$ and any Lie group $\mathfrak{G}$, given a definite symmetric bilinear form on $\mathbb{R}^n$ and an $\hbox{Ad}$-invariant scalar product on the Lie algebra of $\mathfrak{G}$, we construct a variational problem on fields defined on an arbitrary oriented $(n+\hbox{dim}\mathfrak{G})$-dimension…

Proves energy estimates for tensorial wave equations, decoupling components for stability proof.

Existence of an infinite sequence of harmonic maps between spheres of certain dimensions was proven by Bizon and Chmaj. This sequence shares many features of the Bartnik-McKinnon sequence of solutions to the Einstein-Yang-Mills equations as well as sequences of solutions that have arisen in other physical models. We ap…

Study proves global existence and decay for complex wave equations.