Palatini引力与广义相对论的不可区分宏观行为
Indistinguishable Macroscopic Behaviour of Palatini Gravities and General Relativity
摘要：
我们表明，在一些修改后的引力理论，如Palatini模型，场方程的非线性性质意味着通常的天真的平均程序（取代微观能量动量的宇宙学平均）可能是无效的。因此，帕拉蒂尼理论中粒子的相对运动实际上与广义相对论所预言的是无法区分的。此外，没有违反WEP。我们的新的和最重要的结果是，宇宙学和天体物理学，或者更一般地说，宏观尺度上的行为，由这两个理论预测是相同的，因此，与宇宙学常数有关的自然性问题没有得到缓解。然而，帕拉蒂尼引力确实预测了粒子内部结构和粒子物理定律的改变，例如，对氢能级的修正。测量的地方强有力的约束可行的帕拉蒂尼重力的属性。
英文摘要：
We show that, within some modified gravity theories, such as the Palatini models, the non-linear nature of the field equations implies that the usual naive averaging procedure (replacing the microscopic energy-momentum by its cosmological average) could be invalid. As a consequence, the relative motion of particles in Palatini theories is actually indistinguishable from that predicted by General Relativity. Moreover, there is no WEP violation. Our new and most important result is that the cosmology and astrophysics, or put more generally, the behaviours on macroscopic scales, predicted by these two theories are the same, and as a result the naturalness problems associated with the cosmological constant are not alleviated. Palatini gravity does however predict alterations to the internal structure of particles and the particle physics laws, e.g., corrections to the hydrogen energy levels. Measurements of which place strong constraints on the properties of viable Palatini gravities.
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