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arXiv 1905.07620gr-qc
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用引力稳定质量约束引力理论

Constraining gravity theories with the gravitational stability mass

Camilo Santa, Antonio Enea Romano

摘要:

引力束缚结构的尺寸测量是引力理论的一个重要检验。对于给定的半径,不同的理论实际上可以预测不同的引力稳定质量(GSM),以确保在暗能量存在时结构的稳定性。我们计算了不同标量张量理论(包括$f(R)$和广义Brans-Dicke)的引力束缚结构的GSM作为半径的函数,并将理论预测与观测数据进行了比较。由于GSM只给出了一个下限,最严格的限制来自于质量低于广义相对论预期质量的几个物体。对不同观测资料的分析表明,修正引力理论(MGT)与观测资料是相容的,在某些情况下比广义相对论(GR)更好,但后者与观测资料的张力不强。目前可用的数据并没有提供一个确凿的证据,需要修改的GR,最大的偏差顺序$2.6 \,σ$的星系团NGC 5353/4。未来来自星系调查的数据,如欧几里得任务,对于获得更强的约束可能很重要。

英文摘要:

The measurement of the size of gravitationally bounded structures is an important test of gravity theories. For a given radius different theories can in fact predict a different gravitational stability mass (GSM) necessary to ensure the stability of the structure in presence of dark energy. We compute the GSM of gravitationally bounded structures as a function of the radius for different scalar-tensor theories, including $f(R)$ and generalized Brans-Dicke, and compare the theoretical predictions to observational data. Since the GSM only gives a lower bound, the most stringent constraints come few objects with a mass lower that the one expected in general relativity. The analysis of different observational data sets shows that modified gravity theories (MGT) are compatible with observational data, and in some cases fit the data better than general relativity (GR), but the latter is not in strong tension with the observations. The data presently available does not provide a conclusive evidence of the need of a modification of GR, with the largest deviation of order $2.6 \,σ$ for the galaxy cluster NGC5353/4. Future data from galaxy surveys such as the Euclid mission could be important to get stronger constraints.

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