In the present work, we investigate wormhole structures and the energy conditions supporting them in Einstein-Cartan theory. The matter content consists of aWeyssenhoff fluid along with an anisotropic matter which together generalize the anisotropic energy momentum tensor in general relativity (GR) to include spin effects. Assuming that the radial pressure and energy density obey a linear equation of state, we introduce exact asymptotically flat and anti-de-Sitter spacetimes that admit traversable wormholes and respect energy conditions. Such wormhole solutions are studied in detail for two specific forms for the redshift function, namely a constant redshift function and the one with power law dependency.
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St. Petersburg Department of the Steklov Mathematical Institute, St. PetersburgSt. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg
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FED UNIV RIO JANEIRO,FAC FILOSOFIA CIENCIAS & LETRAS,DEPT CIENCIAS EXATAS,BR-89200 RIO DE JANEIRO,SC,BRAZILFED UNIV RIO JANEIRO,FAC FILOSOFIA CIENCIAS & LETRAS,DEPT CIENCIAS EXATAS,BR-89200 RIO DE JANEIRO,SC,BRAZIL
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Univ Camerino, Scuola Sci & Tecnol, Via Madonna Carceri 9, I-62032 Camerino, ItalyUniv Camerino, Scuola Sci & Tecnol, Via Madonna Carceri 9, I-62032 Camerino, Italy
Belfiglio, Alessio
Luongo, Orlando
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Univ Camerino, Scuola Sci & Tecnol, Via Madonna Carceri 9, I-62032 Camerino, Italy
Univ Pisa, Dipartimento Matemat, Largo B Pontecorvo 5, I-56127 Pisa, Italy
Al Farabi Kazakh Natl Univ, NNLOT, Al Farabi Av 71, Alma Ata 050040, KazakhstanUniv Camerino, Scuola Sci & Tecnol, Via Madonna Carceri 9, I-62032 Camerino, Italy