3 years ago

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

Ruth Lazkoz, Ivan De Martino, Mariafelicia De Laurentis

Alternative theories of gravity may serve to overcame several shortcomings of the standard cosmological model but, in their weak field limit, they must recover General Relativity to match the tight constraints at Solar System scale. Therefore, testing such alternative models at scale 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 that modify the dynamics of particles. Using the geodesic equations, we have illustrated the amplitude of these modifications. First, we have numerically integrated 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 semi-major axis much lower 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 dataset.

Publisher URL: http://arxiv.org/abs/1801.08136

DOI: arXiv:1801.08136v1

You might also like
Discover & Discuss Important Research

Keeping up-to-date with research can feel impossible, with papers being published faster than you'll ever be able to read them. That's where Researcher comes in: we're simplifying discovery and making important discussions happen. With over 19,000 sources, including peer-reviewed journals, preprints, blogs, universities, podcasts and Live events across 10 research areas, you'll never miss what's important to you. It's like social media, but better. Oh, and we should mention - it's free.

  • Download from Google Play
  • Download from App Store
  • Download from AppInChina

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.