A cosmological dust model with extended f(chi) gravity

Abstract

Introducing a fundamental constant of nature with dimensions of acceleration into the theory of gravity makes it possible to extend gravity in a very consistent manner. At the non-relativistic level a MOND-like theory with a modification in the force sector is obtained, which is the limit of a very general metric relativistic theory of gravity. Since the mass and length scales involved in the dynamics of the whole universe require small accelerations of the order of Milgrom's acceleration constant a_0, it turns out that the relativistic theory of gravity can be used to explain the expansion of the universe. In this work it is explained how to use that relativistic theory of gravity in such a way that the overall large-scale dynamics of the universe can be treated in a pure metric approach without the need to introduce dark matter and/or dark energy components.

arXiv comment7 pages, 1 figure. Accepted for publication in the European Physical Journal C

References in corpus (14)

• f(R) Theories Of Gravity
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• f(R,T) gravity
• Relativistic gravitation theory for the MOND paradigm
• Curvature Quintessence
• A bird's eye view of f(R)-gravity
• An $f(R)$ gravitation for galactic environments
• Wide binaries as a critical test of Classical Gravity
• Recovering MOND from extended metric theories of gravity
• Gravitational waves and lensing of the metric theory proposed by Sobouti
• A natural approach to extended Newtonian gravity: tests and predictions across astrophysical scales
• Understanding local Dwarf Spheroidals and their scaling relations under MOdified Newtonian Dynamics
• MOND's acceleration scale as a fundamental quantity
• The MOND phenomenology

Cited by in corpus (13)

• Gravitational lensing with $f(\chi )={\chi }^{3/2}$ gravity in accordance with astrophysical observations
• Strong gravitational lensing in $f\left(\chi \right)={\chi }^{3/2}$ gravity
• MOND as the weak field limit of an extended metric theory of gravity with a matter-curvature coupling
• A relativistic description of MOND using the Palatini formalism in an extended metric theory of gravity
• MOND as the weak field limit of an extended metric theory of gravity with torsion
• Approaching the Dark Sector through a bounding curvature criterion
• Cosmological Dark sector from a Mimetic-Metric-Torsion perspective
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• Extended models of gravity in SNIa cosmological data using genetic algorithms
• Extending cosmology: the metric approach
• Non-vacuum relativistic extensions of MOND using metric theories of gravity with curvature-matter couplings and their applications to the accelerated expansion of the Universe without dark components
• Dynamics of clusters of galaxies with extended $f(\chi )$ gravity
• Modified Newtonian Dynamics as an entropic force