Analysis of the Yukawa gravitational potential in f ( R ) gravity. II. Relativistic periastron advance

Alternative theories of gravity may serve to overcome several shortcomings of the standard cosmological model but, in their weak field limit, general relativity must be recovered so as to match the tight constraints at the Solar System scale. Therefore, testing such alternative models at scales of s...

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Bibliographic Details
Published in:Physical review. D 2018-05, Vol.97 (10), Article 104068
Main Authors: De Laurentis, Mariafelicia, De Martino, Ivan, Lazkoz, Ruth
Format: Article
Language:English
Subjects:
Astronomical models
Binary stars
Cosmology
Equations of motion
Geodesy
Gravitation theory
Relativistic theory
Relativity
Solar system
Stellar systems
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Summary:Alternative theories of gravity may serve to overcome several shortcomings of the standard cosmological model but, in their weak field limit, general relativity must be recovered so as to match the tight constraints at the Solar System scale. Therefore, testing such alternative models at scales of stellar systems could give a unique opportunity to confirm or rule them out. One of the most straightforward modifications is represented by analytical f(R)-gravity models that introduce a Yukawa-like modification to the Newtonian potential thus modifying the dynamics of particles. Using the geodesics equations, we have illustrated the amplitude of these modifications. First, we have integrated numerically the equations of motion showing the orbital precession of a particle around a massive object. Second, we have computed an analytic expression for the periastron advance of systems having their semimajor axis much shorter than the Yukawa-scale length. Finally, we have extended our results to the case of a binary system composed of two massive objects. Our analysis provides a powerful tool to obtain constraints on the underlying theory of gravity using current and forthcoming data sets.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.97.104068