Feynman propagators on static spacetimes

Infrared Propagators in MAG and Feynman gauge on the lattice

We propose to investigate infrared properties of gluon and ghost propagators related to the so-called Gribov-Zwanziger confinement scenario, originally formulated for Landau and Coulomb gauges, for other gauges as well. We present results of our investigation of SU(2) lattice gauge theory in the maximally Abelian gauge (MAG), focusing on the behavior of propagators in the off-diagonal (i.e. non...

Spherically Symmetric Static Spacetimes

In this paper we discuss matter inheritance collineations by giving a complete classification of spherically symmetric static spacetimes by their matter inheritance symmetries. It is shown that when the energy-momentum tensor is degenerate, most of the cases yield infinite dimensional matter inheriting symmetries. It is worth mentioning here that two cases provide finite dimensional matter inhe...

Nonautonomous Kato Classes of Measures and Feynman-kac Propagators

The behavior of the Feynman-Kac propagator corresponding to a time-dependent measure on Rn is studied. We prove the boundedness of the propagator in various function spaces on Rn, and obtain a uniqueness theorem for an exponentially bounded distributional solution to a nonautonomous heat equation.

Multipole Moments of Static Spacetimes

On marginally outer trapped surfaces in stationary and static spacetimes

In this paper we prove that for any spacelike hypersurface containing an untrapped barrier in a stationary spacetime satisfying the null energy condition, any marginally outer trapped surface cannot lie in the exterior region where the stationary Killing vector is timelike. In the static case we prove that any marginally outer trapped surface cannot penetrate into the exterior region where the ...