author = "Alves, M{\'a}rcio E. S. and Carvalho, F{\'a}bio C. and 
                         Ara{\'u}jo, Jos{\'e} Carlos Neves de and Penna-Lima, Mariana and 
                         Vitenti, Sandro D. P.",
          affiliation = "{Universidade Estadual Paulista (UNESP)} and {Universidade 
                         Estadual do Rio Grande do Norte (UERN)} and {Instituto Nacional de 
                         Pesquisas Espaciais (INPE)} and {Universit{\'e} de Savoie}",
                title = "Cosmological constant constraints from observation-derived energy 
                         condition bounds and their application to bimetric massive 
              journal = "European Physical Journal C",
                 year = "2018",
               volume = "78",
               number = "710",
             abstract = "Among the various possibilities to probe the theory behind the 
                         recent accelerated expansion of the universe, the energy 
                         conditions (ECs) are of particular interest, since it is possible 
                         to confront and constrain the many models, including different 
                         theories of gravity, with observational data. In this context, we 
                         use the ECs to probe any alternative theory whose extra term acts 
                         as a cosmological constant. For this purpose, we apply a 
                         modelindependent approach to reconstruct the recent expansion of 
                         the universe. Using Type Ia supernova, baryon acoustic 
                         oscillations and cosmic-chronometer data, we perform a Markov 
                         Chain Monte Carlo analysis to put constraints on the effective 
                         cosmological constant \Ω0. By imposing that the 
                         cosmological constant is the only component that possibly violates 
                         the ECs, we derive lower and upper bounds for its value. For 
                         instance, we obtain that 0.59 < \Ω0 < 0.91 and 0.40 < 
                         \Ω0 < 0.93 within, respectively, 1\σ and 3\σ 
                         confidence levels. In addition, about 30% of the posterior 
                         distribution is incompatible with a cosmological constant, showing 
                         that this method can potentially rule it out as a mechanism for 
                         the accelerated expansion. We also study the consequence of these 
                         constraints for two particular formulations of the bimetric 
                         massive gravity. Namely, we consider the Vissers theory and the 
                         Hassan and Rosess massive gravity by choosing a background metric 
                         such that both theories mimic General Relativity with a 
                         cosmological constant. Using the \Ω0 observational bounds 
                         along with the upper bounds on the graviton mass we obtain 
                         constraints on the parameter spaces of both theories.",
                  doi = "10.1140/epjc/s10052-018-6190-5",
                  url = "http://dx.doi.org/10.1140/epjc/s10052-018-6190-5",
                 issn = "1434-6044",
             language = "en",
           targetfile = "alves_cosmological.pdf",
        urlaccessdate = "25 jul. 2021"