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We propose the reconstruction of $F(R)$ gravity in such a way that corresponding theory admits cyclic and ekpyrotic universe solutions.
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S. Nojiri, S. D. Odintsov, D. Sáez-Gómez, Phys. Lett. B 681
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S. Capozziello and V. Faraoni, “Beyond Einstein Gravity: A Survey of Gravitational Theories for Cosmology and Astrophysics”, Fundamental Theories of Physics 170
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