Exploring a novel Einstein--Rosen BTZ wormhole

TL;DR

This paper introduces a new Einstein-Rosen BTZ wormhole solution with a horizon at the throat, explores its properties, Hawking radiation, exotic matter content, and implications for quantum information, revealing violations of energy conditions.

Contribution

The paper presents a novel BTZ wormhole metric with a horizon and exotic matter, analyzing its phenomenology, Hawking radiation, and quantum implications, including a connection to ER=EPR.

Findings

The wormhole has a horizon at the throat resembling a black hole.

Hawking temperature is invariant across coordinate systems and quantum field spins.

The null energy condition is violated at the wormhole throat.

Abstract

We introduce a novel Einstein-Rosen BTZ wormhole metric as a solution to the Einstein field equations with a negative cosmological constant and explore in detail its various phenomenological aspects. We show that the wormhole metric is characterized by a horizon at the throat, resembling a black hole horizon. This implies that our wormhole metric describes a one-way traversable wormhole at the throat, with Hawking radiation observed by an observer located at some distance from the wormhole. It is also found the same Hawking temperature using the BTZ-like coordinates and Kruskal-like coordinates. This temperature is invariant not only on the type of coordinates but also the nature of the spin of quantum fields. Importantly, we find that at the wormhole throat, the spacetime is not a pure vacuum solution, but rather contains an exotic string matter source with negative tension, which may stabilize the wormhole geometry. To this end, we found that the size of the wormhole throat is proportional to the number of quantum bits suggesting a possible implications on ER=EPR. Further we studied the particle dynamics and, finally, we tested the ANEC with a test scalar and vector fields. For the double null-component computed in BTZ coordinates, we found an apparent divergence at the wormhole throat, which is then shown to be regularized by means of Kruskal-like coordinates. The ANEC for such a scalar/vector field is violated at the wormhole throat.