Can wormholes have vanishing Love numbers?

Abstract

Wormholes are fascinating alternatives to black hole geometries. In this paper, we have studied a special case of wormhole solution in the context of R=0 spacetime. Our approximate analytical calculations show that under a strictly static axial gravitational perturbation of this spacetime, the magnetic-type tidal Love number (for =2) vanishes if we keep the solution of the master equation up to linear order in the regularisation parameter of the geometry.

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