Reduced Lagrangians and analytic solutions in Einstein-æther cosmology M. Roumeliotis, A. Paliathanasis, Petros A. Terzis and T. Christodoulakis Eur. Phys. J. C, 79 4 (2019) 349 Published online: 19 April 2019 DOI: 10.1140/epjc/s10052-019-6868-3