Spherical Structures in the Inflationary Cosmology

TL;DR

This paper explores the formation and evolution of spherical geometrical structures, including wormholes, during the inflationary era of the universe by deriving solutions from Einstein equations with an extended energy-momentum tensor.

Contribution

It introduces a new class of solutions for spherical structures in an inflationary background, extending the understanding of early universe geometries.

Findings

Derived Einstein equation solutions for spherical structures during inflation

Explored conditions for dynamical wormholes in the early universe

Extended energy-momentum tensor constraints for inflationary geometries

Abstract

It has been suggested that wormholes and other non-trivial geometrical structures might have been formed during the quantum cosmological era ($t\sim 10^{-43}$s). Subsequent inflation of the universe might have enlarged these structures to macroscopic sizes. In this paper, spherical geometrical structures in an inflationary RW background are derived from the Einstein equations, using a constraint on the energy-momentum tensor which is an extension of the one expected for inflation. The possibility of dynamical wormholes and other spherical structures are explored in the framework of the solutions.