Quantum Effective Dynamics of Papapetrou Spacetime

TL;DR

This paper explores quantum corrections to Papapetrou spacetime using loop quantum gravity, revealing the emergence of a new wormhole throat at small masses due to quantum effects.

Contribution

It introduces a quantum effective metric for Papapetrou spacetime and demonstrates how quantum effects alter classical wormhole structures.

Findings

Quantum effects create a new wormhole throat.

Classical wormhole disappears at small mass.

Quantum-corrected metric derived from Hamiltonian constraint.

Abstract

In this paper, we investigate the quantum effective dynamics of Papapetrou spacetime by using methods from loop quantum gravity. The Papapetrou spacetime is an extension of the Schwarzschild spacetime with an extra coupled anti-scalar field. By solving the equations of motion generated by the Hamiltonian constraint for Papapetrou spacetime, we can construct the quantum effective metric. The resulting effective metric for the quantum-corrected Papapetrou spacetime demonstrates the quantum effects will give rise to a new wormhole throat, while the classical wormhole throat disappear in the case of extremely small mass.