期刊
MODERN PHYSICS LETTERS A
卷 26, 期 20, 页码 1467-1480出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217732311035869
关键词
Gravitation; modified theories of gravity; non-minimal geometry-matter coupling; Palatini formalism
资金
- government of the Hong Kong
- Centro de Astronomia e Astrofisica da Universidade de Lisboa
- FOM
- Academy of Finland
- Fundacao para a Ciencia e Tecnologia [PTDC/FIS/102742/2008, CERN/FP/109381/2009]
- Fundação para a Ciência e a Tecnologia [CERN/FP/109381/2009] Funding Source: FCT
We derive the field equations and the equations of motion for scalar fields and massive test particles in modified theories of gravity with an arbitrary coupling between geometry and matter by using the Palatini formalism. We show that the independent connect ion can be expressed as the Levi-Civita connection of anauxiliary, matter Lagrangian dependent metric, which is related with the physical metric by means of a conformal transformation. Similarly to the metric case, the field equations impose the nonconservation of the energy-momentum tensor. We derive the explicit form of the equations of motion for massive test particles in the case of a perfect fluid, and the expression of the extra-force is obtained interms of the matter-geometry coupling functions and of their derivatives. Generally, the motion is non-geodesic, and the extra force is orthogonal to the four-velocity. It is pointed out here that the force is of a different nature than in the metric formalism. We also consider the implications of a nonlinear dependence of the action upon the matter Lagrangian.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据