Anisotropic Structures and Wormholes with Loop Quantum Gravity Holonomy Corrections

TL;DR

This paper explores how loop quantum gravity holonomy corrections affect anisotropic spherically symmetric systems and wormholes, potentially reducing energy condition violations by increasing the fluid's energy density.

Contribution

It introduces quantum gravity inspired holonomy modifications to anisotropic fluid models and analyzes their impact on wormhole structures within loop quantum gravity.

Findings

Quantum corrections increase the fluid's energy density.

They may reduce or eliminate energy condition violations.

Wormhole models show modified quantum properties.

Abstract

Anisotropic spherically symmetric systems are studied in the connection and densitized triad variables used in loop quantum gravity. The material source is an anisotropic fluid, which is arguably the most commonly used source term in anisotropic studies within general relativity. The gravitational+anisotropic fluid constraints are derived and analyzed and then quantum gravity inspired holonomy replacements are performed. The quantum properties of the fluid are dictated by the modified constraint equations. Particular attention is paid to wormhole throats, as they provide a simplistic model of the structures thought to be ubiquitous in the quantum gravity space-time foam at high energy scales. In comparison to the purely classical theory, the quantum corrections act to increase the energy density of the fluid, which indicates that they may lessen the energy condition violation present in the classical theory. Related to this, in principle it would be possible to have scenarios where the classical solution yields everywhere negative (with a zero at the throat) fluid energy density but the corresponding quantum corrected theory possesses only small regions of negative energy density or even everywhere non-negative energy density.