A new class of generalized Ellis–Bronnikov wormhole in asymptotically safe gravity

Abstract

In this paper, the asymptotically safe gravity has been taken in the gravitational action to derive the wormhole solutions. The paper is aimed at the study of traversable wormhole solutions having repulsive geometry at the throat. The wormhole solutions are produced in two cases: the first case includes the logarithmic form of the shape function while in the second case, the shape function is derived numerically so that it satisfies necessary properties. In both cases, the nature of the matter supporting the wormhole solution is investigated by testing the energy conditions, and the stability of the solutions is determined. The energy conditions are respected in the region near the throat in the first case and everywhere in the second case. The stability of solutions is obtained in the second case along with the repulsive geometry near the throat and attractive away from it.