Evolving Lorentzian wormholes supported by phantom matter with constant state parameters

dc.creatorCataldo, Mauricio
dc.creatorLabrana, Pedro
dc.creatordel Campo, Sergio
dc.creatorCrisostomo, Juan
dc.creatorSalgado, Patricio
dc.date2008-10-15
dc.date.accessioned2026-07-07T11:45:53Z
dc.date.available2026-07-07T11:45:53Z
dc.descriptionIn this paper we study the possibility of sustaining an evolving wormhole via exotic matter made out of phantom energy. We show that this exotic source can support the existence of evolving wormhole spacetimes. Explicitly, a family of evolving Lorentzian wormholes conformally related to another family of zero-tidal force static wormhole geometries is found in Einstein gravity. Contrary to the standard wormhole approach, where first a convenient geometry is fixed and then the matter distribution is derived, we follow the conventional approach for finding solutions in theoretical cosmology. We derive an analytical evolving wormhole geometry by supposing that the radial tension (which is negative to the radial pressure) and the pressure measured in the tangential directions have barotropic equations of state with constant state parameters. At spatial infinity this evolving wormhole, supported by this anisotropic matter, is asymptotically flat, and its slices $t=$ constant are spaces of constant curvature. During its evolution the shape of the wormhole expands with constant velocity, i.e without acceleration or deceleration, since the scale factor has strictly a linear evolution.
dc.description9 pages, 2 figures, Accepted for publication in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0810.2715
dc.identifierhttp://arxiv.org/abs/0810.2715
dc.identifierPhys.Rev.D78:104006,2008
dc.identifierdoi:10.1103/PhysRevD.78.104006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202036
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleEvolving Lorentzian wormholes supported by phantom matter with constant state parameters
dc.typetext

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