期刊
PHYSICAL REVIEW D
卷 97, 期 10, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.97.104067
关键词
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资金
- University of the Basque Country UPV/EHU under the program Convocatoria de contratacion para la especializacion de personal investigador doctor en la UPV/EHU, from the Spanish Ministerio de Economia y Competitividad [FIS2017-85076-P]
- Basque Government [IT-956-16]
- ERC Synergy Grant BlackHoleCam-Imaging the Event Horizon of Black Holes [610058]
- COST (European Cooperation in Science and Technology) [CA1511]
The concordance cosmological model has been successfully tested over the last decades. Despite its successes, the fundamental nature of dark matter and dark energy is still unknown. Modifications of the gravitational action have been proposed as an alternative to these dark components. The straightforward modification of gravity is to generalize the action to a function, f(R), of the scalar curvature. Thus one is able to describe the emergence and the evolution of the large scale structure without any additional (unknown) dark component. In the weak field limit of the f(R)-gravity, a modified Newtonian gravitational potential arises. This gravitational potential accounts for an extra force, generally called fifth force, that produces a precession of the orbital motion even in the classic mechanical approach. We have shown that the orbits in the modified potential can be written as Keplerian orbits under some conditions on the strength and scale length of this extra force. Nevertheless, we have also shown that this extra term gives rise to the precession of the orbit. Thus, comparing our prediction with the measurements of the precession of some planetary motions, we have found that the strength of the fifth force must be in the range [2.70-6.70] x 10(-9) with the characteristic scale length to fix to the fiducial values of similar to 5000 AU.
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