Construction of a traversable wormhole from a suitable embedding function

Abstract

In this work, we construct a traversable wormhole by providing a suitable embedding function ensuring the fulfilling of the flaring-out condition. The solution contains free parameters that are reduced through the study of the acceptable conditions of a traversable wormhole. We compute both the quantifier of exotic matter and the quasi-normal modes through the 13th order WKB as a function of the remaining free parameters. We obtain that the wormhole geometry can be sustained by a finite amount of exotic matter and seems to be stable under scalar perturbations.

New spherically symmetric wormhole solutions in f(Q)-gravity theory

“…Only in the presence of that exotic element, which may have negative energy and could violate every rule of energy, is it conceivable to have traversable wormhole [30]. One of the most well-liked methods for quantifying the entire amount of energy condition-violating matter is the 'volume integral quantifier' method [31]. Nandi et al [32] further enhanced this formulation to determine the precise amount of exotic matter present in a particular space-time.…”