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Wormholes with matter haunted by conformally coupled ghosts

B. J. Barros, Álvaro de la Cruz-Dombriz, F. S. N. Lobo

Abstract
In this work, we present novel analytical solutions for static and spherically symmetric wormhole geometries threaded by an anisotropic distribution of matter conformally coupled to a scalar ghost field. We explore the main features of the theory, such as the dynamics of the scalar field and matter throughout the wormhole, as well as the role played by the nonminimal coupling. Furthermore, coupled ghosts in the presence of a scalar potential are considered, and traversability conditions are analyzed within such geometrical scheme. More specifically, we find analytical solutions in which, although the energy density of the ghost is strictly negative, the energy density of matter may attain positive values.

Keywords
General Relativity and Quantum Cosmology; Astrophysics - Cosmology and Nongalactic Astrophysics

Physical Review D
Volume 108, Issue 8, Page 12
2023 November

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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