We establish the Einstein-Euler-Heisenberg system of field equations with cosmological constant (EEH-?) for type -D metrics within the null tetrad formalism. Then we determine all type -D solutions to the EEH-? equations; among the derived solutions are the Einstein-Euler-Heisenberg-? generalizations of the Bertotti-Robinson, Reissner-Nordstrom, Newman-Unti-Tamburino-B (NUT-B)(+), and Kerr-Newman solutions. Moreover it is shown that the (static) C-metric is not compatible with the Euler-Heisenberg electrodynamics.
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CINVESTAV IPN, Dept Fis, Apartado Postal 14-740, Mexico City 07000, DF, MexicoCINVESTAV IPN, Dept Fis, Apartado Postal 14-740, Mexico City 07000, DF, Mexico
Breton, Nora
Lopez, L. A.
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UAEH, Area Acad Matemat & Fis, Carretera Pachuca Tulancingo Km 4-5, Mineral De La Reforma 42184, Hidalgo, MexicoCINVESTAV IPN, Dept Fis, Apartado Postal 14-740, Mexico City 07000, DF, Mexico