Ellis–Bronnikov Wormholes in Asymptotically Safe Gravity

In this paper, we investigate the simplest wormhole solution—the Ellis–Bronnikov one—in context of asymptotically safe gravity (ASG) at Planck scale. We work with three models, which employ Ricci scalar, Kretschmann and squared tensor to improve field equations by turning Newton constant into a running coupling constant. For all cases, check radial energy conditions solution compare them those that are valid in general relativity (GR). verified asymptotic safety guarantees can satisfy throat radius, r0, within an interval values latter, is quite different from result found GR. Following this, evaluate effective state parameter, ?(r), showing quantum gravitational effects modify Einstein’s such way it necessary have very exotic source matter generate spacetime–phantom or quintessence-like matter. This occurs some ranges radii, even though not violated there. Finally, find that, although r0 matter, upon growing r, inevitably came across phantom-like regions. speculate whether phantom fluid must always be present wormholes ASG more scenarios.