标题： 从观测得出的能量条件界限对宇宙学常数的约束及其在双度规大质量引力中的应用 显示英文标题

标题： Cosmological constant constraints from observation-derived energy condition bounds and their application to bimetric massive gravity

摘要： 在各种探索近期宇宙加速膨胀理论的可能性中，能量条件（ECs）特别引人关注，因为可以将许多模型，包括不同的引力理论，与观测数据进行对比和限制。 在此背景下，我们使用ECs来探测任何替代理论，其额外项起着宇宙学常数的作用。 为此，我们应用一种与模型无关的方法来重建近期的宇宙膨胀。 利用Ia型超新星、重子声学振荡和宇宙时钟数据，我们进行马尔可夫链蒙特卡洛分析，以对有效宇宙学常数$\Omega^0_{\rm eff}$进行约束。 通过假设宇宙学常数是唯一可能违反ECs的组分，我们推导出其值的下限和上限。 例如，我们得到$0.59 < \Omega^0_{\rm eff} < 0.91$和$0.40 < \Omega^0_{\rm eff} < 0.93$分别在$1\sigma$和$3\sigma$置信水平内。 此外，后验分布约有30%与宇宙学常数不相容，表明这种方法有可能将其排除作为加速膨胀的机制。 我们还研究了这些约束对两种特定的双度规大质量引力公式的影响。 即，我们考虑Visser的理论和Hassan和Roses的大质量引力，选择一个背景度规，使这两种理论模仿具有宇宙学常数的广义相对论。 利用$\Omega^0_{\rm eff}$的观测限制以及对引力子质量的上限，我们得到了这两种理论的参数空间的约束。 显示英文摘要

摘要： 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 model-independent 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 $\Omega^0_{\rm eff}$. 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 $0.59 < \Omega^0_{\rm eff} < 0.91$ and $0.40 < \Omega^0_{\rm eff} < 0.93$ within, respectively, $1\sigma$ and $3\sigma$ 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 Visser's theory and the Hassan and Roses's massive gravity by choosing a background metric such that both theories mimic General Relativity with a cosmological constant. Using the $\Omega^0_{\rm eff}$ observational bounds along with the upper bounds on the graviton mass we obtain constraints on the parameter spaces of both theories.