Evolving traversable wormholes satisfying the energy conditions in the presence of pole dark energy
Abstract
We consider the evolution of traversable wormhole geometries in the inflationary, radiation  and matter  dominated eras, and dynamic wormholes with a traceless energymomentum tensor (EMT), within the recently proposed pole dark energy model. We show that the evolving radiation  and matter  dominated wormhole space times satisfy the null energy condition (NEC), but possess negative energy densities at late times, thus violating the weak energy condition (WEC) in this specific domain. However, we demonstrate with a specific example that the traceless EMT evolving wormholes, supported by conformally invariant massless fields, in principle, could satisfy the WEC, and consequently the NEC, at all times and for all values of the radial coordinate. Thus, one may imagine a scenario in which these geometries originate in the Planckian era through quantum gravitational processes. Inflation could then provide a natural mechanism for the enlargement of these Planckian wormholes, where their FLRW background evolution is governed by pole dark energy. For the first time in the literature, specific dynamical 4dimensional solutions are presented that satisfy the NEC and WEC everywhere and everywhen.
 Publication:

Physics of the Dark Universe
 Pub Date:
 January 2021
 DOI:
 10.1016/j.dark.2021.100779
 Bibcode:
 2021PDU....3100779Z
 Keywords:

 Pole dark energy;
 Wormhole physics;
 Energy conditions