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Precession shift in curvature based Extended Theories of Gravity and Quintessence fields
- Source :
- Eur. Phys. J. C (2022) 82:286
- Publication Year :
- 2022
-
Abstract
- In this paper we constrain the sizes of hypothetical new weak forces by making use the data coming from the precession of Planets. We consider the weak field approximation of Scalar-Tensor Fourth Order Gravity (STFOG), which include several models of modified gravity. The form of the corrections to the Newtonian potential if of the form of Yukawa-like potential (5th force), i.e. $V(r) = {\alpha} \dfrac{e^{-\beta r}}{r}$, where ${\alpha}$ is the parameter related to the strength of the potential, and ${\beta}$ to the range of the force. The present data on periastron advance allow to infer a constraint on the free parameter of the gravitational models. Moreover, the Non-Commutative Spectral Gravity (NCSG) is also studied, being a particular case STFOG. Here we show that the precession shift of Planet allows to improve the bounds on parameter ${\beta}$ by several orders of magnitude. Finally such an analysis is studied to the case of power-like potential, referring in particular to deformation of the Schwarzschild geometry induced by a quintessence field, responsible of the present accelerated phase of the Universe.
- Subjects :
- General Relativity and Quantum Cosmology
Subjects
Details
- Database :
- arXiv
- Journal :
- Eur. Phys. J. C (2022) 82:286
- Publication Type :
- Report
- Accession number :
- edsarx.2207.06957
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1140/epjc/s10052-022-10235-x