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Evolving traversable wormholes satisfying the energy conditions in the presence of pole dark energy

M. K. Zangeneh, F. S. N. Lobo, Hooman Moradpour

We consider the evolution of traversable wormhole geometries in the inflationary, radiation – and matter – dominated eras, and dynamic wormholes with a traceless energy–momentum 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 4-dimensional solutions are presented that satisfy the NEC and WEC everywhere and everywhen.

Pole dark energy; Wormhole physics; Energy conditions

Physics of the Dark Universe
Volume 31, Number 1007
2021 January

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Faculdade de Ciências da Universidade de Lisboa Universidade do Porto Faculdade de Ciências e Tecnologia da Universidade de Coimbra
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia