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arXiv 0710.0966gr-qcastro-phhep-th
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f(R)引力中的广义维里定理

Generalized virial theorem in f(R) gravity

Christian G. Boehmer, Tiberiu Harko, Francisco S. N. Lobo

摘要:

我们利用无碰撞玻尔兹曼方程推广了f(R)修正引力中的维里定理。我们发现补充的几何条款中的修改爱因斯坦方程提供了一个有效的贡献的引力能。总维里质量正比于与新几何项相关的有效质量,这可能解释了星系团中著名的维里定理质量差异。该模型预测,几何质量及其影响超出了维里半径的集群。我们还考虑了f(R)模型中星系团速度色散的行为。因此,f(R)维里定理可以成为观测检验这类广义引力模型可行性的有效工具。

英文摘要:

We generalize the virial theorem in f(R) modified gravity using the collisionless Boltzmann equation. We find supplementary geometric terms in the modified Einstein equation providing an effective contribution to the gravitational energy. The total virial mass is proportional to the effective mass associated with the new geometrical term, which may account for the well-known virial theorem mass discrepancy in clusters of galaxies. The model predicts that the geometric mass and its effects extend beyond the virial radius of the clusters. We also consider the behavior of the galaxy cluster velocity dispersion in f(R) models. Thus, the f(R) virial theorem can be an efficient tool in observationally testing the viability of this class of generalized gravity models.

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