Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-11-30
Phys.Rev.Lett.98:061101,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
4 pages, references and small comments added, to appear in Phys.Rev.Lett
Scientific paper
10.1103/PhysRevLett.98.061101
We study modified theories of gravity of the f(R) type in Palatini formalism. For a generic f(R) lagrangian, we show that the metric can be solved as the product of a scalar function times a rank-two tensor (or auxiliary metric). The scalar function is sensitive to the local energy-momentum density. The auxiliary metric satisfies a set of equations very similar to Einstein's equations and, for weak sources, it can be approximated by the Minkowski metric. According to this, the metric coupled to the matter strongly departs from the Minkowskian one in the neighbourhood of any microscopic physical system. As a consequence, new gravitationally-induced interactions arise and lead to observable effects at microscopic and macroscopic scales. In particular, test body trajectories experience self-accelerations which depend on the internal structure and composition of the body. These facts make very unlikely the viability of Palatini f(R) models designed to change the late-time cosmic evolution.
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