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Abstract: In this paper we study the possibility of sustaining an evolving wormhole viaexotic matter made out of phantom energy. We show that this exotic source cansupport the existence of evolving wormhole spacetimes. Explicitly, a family ofevolving Lorentzian wormholes conformally related to another family ofzero-tidal force static wormhole geometries is found in Einstein gravity.Contrary to the standard wormhole approach, where first a convenient geometryis fixed and then the matter distribution is derived, we follow theconventional approach for finding solutions in theoretical cosmology. We derivean analytical evolving wormhole geometry by supposing that the radial tensionwhich is negative to the radial pressure and the pressure measured in thetangential directions have barotropic equations of state with constant stateparameters. At spatial infinity this evolving wormhole, supported by thisanisotropic matter, is asymptotically flat, and its slices $t=$ constant arespaces of constant curvature. During its evolution the shape of the wormholeexpands with constant velocity, i.e without acceleration or deceleration, sincethe scale factor has strictly a linear evolution.



Autor: Mauricio Cataldo, Pedro Labrana, Sergio del Campo, Juan Crisostomo, Patricio Salgado

Fuente: https://arxiv.org/







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