We propose a relativistic gravitational theory leading to modified Newtonian dynamics, a paradigm that explains the observed universal galactic acceleration scale and related phenomenology. We discuss phenomenological requirements leading to its construction and demonstrate its agreement with the observed cosmic microwave background and matter power spectra on linear cosmological scales. We show that its action expanded to second order is free of ghost instabilities and discuss its possible embedding in a more fundamental theory.

中文翻译：

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修正牛顿动力学的新相对论

我们提出了一种导致修正牛顿动力学的相对论引力理论，这是一种解释观察到的宇宙加速尺度和相关现象学的范式。我们讨论了导致其构建的现象学要求，并证明了它与在线性宇宙学尺度上观察到的宇宙微波背景和物质功率谱的一致性。我们展示了它扩展到二阶的作用没有幽灵不稳定性，并讨论了它可能嵌入到更基本的理论中。