Skordis C, Mota D F, Ferreira P G, Boehm C
Astrophysics, University of Oxford, DWB, Keble Road, Oxford OX1 3RH, United Kingdom.
Phys Rev Lett. 2006 Jan 13;96(1):011301. doi: 10.1103/PhysRevLett.96.011301. Epub 2006 Jan 3.
A relativistic theory of modified gravity has been recently proposed by Bekenstein. The tensor field in Einstein's theory of gravity is replaced by a scalar, a vector, and a tensor field which interact in such a way to give modified Newtonian dynamics (MOND) in the weak-field nonrelativistic limit. We study the evolution of the Universe in such a theory, identifying its key properties and comparing it with the standard cosmology obtained in Einstein gravity. The evolution of the scalar field is akin to that of tracker quintessence fields. We expand the theory to linear order to find the evolution of perturbations on large scales. The impact on galaxy distributions and the cosmic microwave background is calculated in detail. We show that it may be possible to reproduce observations of the cosmic microwave background and galaxy distributions with Bekenstein's theory of MOND.
贝肯斯坦最近提出了一种修正引力的相对论理论。爱因斯坦引力理论中的张量场被一个标量场、一个矢量场和一个张量场所取代，这些场相互作用，在弱场非相对论极限下给出修正牛顿动力学（MOND）。我们在这样一种理论中研究宇宙的演化，确定其关键特性，并将其与爱因斯坦引力中的标准宇宙学进行比较。标量场的演化类似于追踪者型精质场的演化。我们将该理论扩展到线性阶，以找到大尺度上微扰的演化。详细计算了对星系分布和宇宙微波背景的影响。我们表明，用贝肯斯坦的MOND理论有可能重现宇宙微波背景和星系分布的观测结果。
