Global Field Dynamics and Cosmological Structure Formation

Abstract

In this contribution we discuss gravitational effects of global scalar fields and, especially, of global topological defects. We first give an introduction to the dynamics of global fields and the formation of defects. Next we investigate the induced gravitational fields, first in a flat background and then in the expanding universe. In flat space, we explicitly calculate the gravitational fields of exact global monopole and global texture solutions and discuss the motion of photons and massive particles in these geometries. We also show that slowly moving particles and the energy of photons are not affected in static scalar field configurations with vanishing potential energy. In expanding space, we explore the possibility that global topological defects from a phase transition in the very early universe may have seeded inhomogeneities in the energy distribution which yielded the observed large scale structure in the Universe, the sheets of galaxies, clusters, voids ... . We outline numerical simulations which have been performed to tackle this problem and briefly discuss their results.

Self-action in Gravity

“…is divergent linearly with the radius L of the sphere surrounding the monopole, which is typical for global defects [168]. Usually, the scale of the cosmological horizon is considered as a natural boundary of the monopole's space-time.…”

“…The origin of the additional term in flux is bad behavior (168). To solve this problem, it was suggested to add a solution of the corresponding homogeneous equation to the solution with a "bad" asymptotic behavior [119] (see Eq.…”