F(R)引力

f(R)引力是一种修正引力理论，是爱因斯坦廣義相對論的一个推广。f(R)引力实际上不是单一的，每一种不同里奇标量R的函数f，定义了不同的理论。最简单的情况是f(R)等于里奇标量R，即经典的广义相对论。f(R)引力首先在1970年被Hans Adolph Buchdahl提出^[1]（当时是用 ϕ 代替了f 作为里奇标量R的函数）。在前苏联宇宙学家斯塔罗宾斯基对宇宙暴脹的研究后，它已经成为一个活跃的研究领域^[2]。采用不同函数形式f(R)可以给出许多现有现象的解释，比如有些f(R)引力理论可以无需暗能量或暗物质就能解释宇宙加速膨脹和宇宙结构形成的问题。有些函数形式f(R)可以通过引力量子化得到。然而，许多函数形式f(R)的可能性现在已经被天文观测证据或是理论上的问题所排除。

参考文献

^ Buchdahl, H. A. Non-linear Lagrangians and cosmological theory. Monthly Notices of the Royal Astronomical Society. 1970, 150: 1–8. Bibcode:1970MNRAS.150....1B. doi:10.1093/mnras/150.1.1.
^ Starobinsky, A. A. A new type of isotropic cosmological models without singularity. Physics Letters B. 1980, 91: 99–102. Bibcode:1980PhLB...91...99S. doi:10.1016/0370-2693(80)90670-X.

延伸閱讀

See Chapter 29 in the textbook on "Particles and Quantum Fields" by Kleinert, H. (2016), World Scientific (Singapore, 2016) (also available online)
Sotiriou, T. P.; Faraoni, V. f(R) Theories of Gravity. Reviews of Modern Physics. 2010, 82: 451–497. Bibcode:2010RvMP...82..451S. arXiv:0805.1726 . doi:10.1103/RevModPhys.82.451.
Sotiriou, T. P. 6+1 lessons from f(R) gravity. Journal of Physics: Conference Series. 2009, 189 (9): 012039. Bibcode:2009JPhCS.189a2039S. arXiv:0810.5594 . doi:10.1088/1742-6596/189/1/012039.
Capozziello, S.; De Laurentis, M. Extended Theories of Gravity. Physics Reports. 2011, 509 (4–5): 167–321. Bibcode:2011PhR...509..167C. arXiv:1108.6266 . doi:10.1016/j.physrep.2011.09.003.

外部連結

[1] Buchdahl, H. A. Non-linear Lagrangians and cosmological theory. Monthly Notices of the Royal Astronomical Society. 1970, 150: 1–8. Bibcode:1970MNRAS.150....1B. doi:10.1093/mnras/150.1.1.

[2] Starobinsky, A. A. A new type of isotropic cosmological models without singularity. Physics Letters B. 1980, 91: 99–102. Bibcode:1980PhLB...91...99S. doi:10.1016/0370-2693(80)90670-X.

[1]

[2]