Rotating cosmological cylindrical wormholes in GR and TEGR sourced by anisotropic fluids

TL;DR

This paper constructs rotating cylindrically symmetric wormhole solutions in GR and TEGR with anisotropic fluids, satisfying energy conditions, and explores their relation to the cosmological constant.

Contribution

It provides closed-form solutions for rotating cylindrical wormholes in both GR and TEGR, incorporating a cosmological constant and anisotropic fluids, which satisfy all local energy conditions.

Findings

Solutions exhibit angular velocity proportional to the cosmological constant

Existence of cosmological rotating solutions with two axes of symmetry

Wormholes satisfy all local energy conditions

Abstract

Given an anisotropic fluid source, we determine in closed forms, upon solving the field equations of general relativity (GR) and teleparallel gravity (TEGR) coupled to a cosmological constant, cylindrically symmetric four-dimensional cosmological rotating wormholes, satisfying all local energy conditions, and cosmological rotating solutions with two axes of symmetry at finite proper distance. These solutions have the property that their angular velocity is proportional to the cosmological constant.