We propose a new model of Lorentz breaking massive gravity in which the mass of the graviton depends from the space-time directions. We explore its consistency: absence of ghosts, tachyons, gradient instabilities, VDVZ discontinuities. We demonstrate that the model is not plagued by any pathology in a large region of parameters space. Within this new theory, we find several interesting phenomena. First of all, gravitational waves propagate an-isotropically in space-time. Second, we find anisotropic corrections to the Newtonian potential, with new extra Yukawa-like phases. Such a scenario also carries intriguing consequences in context of large extra dimensions proposals, as a confinement mechanism of gravity in [Formula: see text] dimensions.

中文翻译：

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定向大质量重力

我们提出了一种新的洛伦兹打破大质量引力模型，其中引力子的质量取决于时空方向。我们探索它的一致性：没有重影、快子、梯度不稳定性、VDVZ 不连续性。我们证明该模型在参数空间的大区域中不受任何病理学的困扰。在这个新理论中，我们发现了几个有趣的现象。首先，引力波在时空中各向同性地传播。其次，我们发现牛顿势的各向异性修正，具有新的额外的 Yukawa 相。这种情况在大型额外维度提案的背景下也会产生有趣的后果，作为[公式：见文本]维度中的重力限制机制。