太阳系对Gauss-Bonnet介导的暗能量的约束
Solar System Constraints on Gauss-Bonnet Mediated Dark Energy
摘要：
虽然高斯-邦纳项是广义相对论的拓扑不变量，但它自然地耦合到一个精髓标量场，在太阳系尺度上修改引力。我们确定太阳系的限制，由于这一项通过评估后牛顿度量的分布源。我们发现牛顿势有一个依赖于质量的1/r^7修正，而且光弯曲与爱因斯坦引力预测也有偏差。我们使用行星轨道，卡西尼号航天器的数据，和牛顿定律的实验室测试约束的理论参数，总是发现非常紧密的边界上的能量相关的高斯-邦纳项。我们讨论了这些约束的相关性晚时间宇宙学加速。
英文摘要：
Although the Gauss-Bonnet term is a topological invariant for general relativity, it couples naturally to a quintessence scalar field, modifying gravity at solar system scales. We determine the solar system constraints due to this term by evaluating the post-Newtonian metric for a distributional source. We find a mass dependent, 1/r^7 correction to the Newtonian potential, and also deviations from the Einstein gravity prediction for light-bending. We constrain the parameters of the theory using planetary orbits, the Cassini spacecraft data, and a laboratory test of Newton's law, always finding extremely tight bounds on the energy associated to the Gauss-Bonnet term. We discuss the relevance of these constraints to late-time cosmological acceleration.
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