Generalized Ellis-Bronnikov wormholes in asymptotically safe gravity

Abstract

In this paper we investigate the presence of exotic matter and the energy conditions of the generalized Ellis-Bronnikov solutions proposed in [61], a generalization of the Ellis-Bronnikov spacetime that has two parameters defining it (n and r t ) in the context of asymptotically safe gravity (ASG). These generalized solutions was a attempt to solve the problem of exotic matter, and we investigate if the ASG cured these problems.Further, as pointed in [62],these generalized solutions needs an extra matter beyond phantom to exist. Therefore we investigated if the ASG brings what kind of matter these extra matter can be. For this, we have choose the models that use the Ricci scalar, squared Ricci and the Kretschmann scalar to define the antiscreening function. We found that we have corrections at

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