Abstract
We report about some achievements and developments provided by the ELKO program, in particular the ones recently accomplished [1]. Exotic dark spinor fields have been investigated in the context of inequivalent spin structures on arbitrary curved spacetimes, which induces an additional term in the associated Dirac operator, related to a Čech cohomology class. It implies that the non-trivial topology associated with the spacetime can engender—from the dynamics of ELKO dark spinor fields—drastic constraints on the spacetime metric structure.
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References
da Rocha, R., Bernardini, A., Hoff da Silva, J.: Exotic dark spinor fields. J. High Energy Phys. 2011(04), 110 (2011). doi:10.1007/JHEP04(2011)110
Ahluwalia-Khalilova, D., Grumiller, D.: Spin-half fermions with mass dimension one: theory, phenomenology, and dark matter. J. Cosmol. Astropart. Phys. 2005(07), 012 (2005). doi:10.1088/1475-7516/2005/07/012
Acknowledgments
R. da Rocha is grateful to Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) grants 472903/2008-0 and 304862/2009-6 for financial support.
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da Rocha, R. (2014). Exotic (Dark) Eigenspinors of the Charge Conjugation Operator and Cosmological Applications. In: Bičák, J., Ledvinka, T. (eds) Relativity and Gravitation. Springer Proceedings in Physics, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-319-06761-2_62
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DOI: https://doi.org/10.1007/978-3-319-06761-2_62
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