Phenomenological covariant approach to gravity

Abstract

We covariantly modify the Einstein-Hilbert action such that the modified action perturbatively resolves the flat rotational velocity curve of the spiral galaxies and gives rise to the Tully-Fisher relation, and dynamically generates the cosmological constant. This modification requires introducing just a single new universal parameter.

v6: a mistake in deriving the equation of the cosmological constant corrected, refs added

References in corpus (11)

• f(R) Theories Of Gravity
• A direct empirical proof of the existence of dark matter
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• The Universal Rotation Curve of Spiral Galaxies. II The Dark Matter Distribution out to the Virial Radius
• The Cosmology of Modified Gauss-Bonnet Gravity
• Dark energy and dark matter as curvature effects
• Dark matter as a geometric effect in f(R) gravity
• Discovery of a Ringlike Dark Matter Structure in the Core of the Galaxy Cluster Cl 0024+17
• When is g_{tt} g_{rr} = -1?
• A Phenomenological Model for the Early Universe
• Constraints on $f(R_{ijkl}{R}^{ijkl})$ gravity: An evidence against the covariant resolution of the Pioneer anomaly

Cited by in corpus (4)

• The Nature of Dark Energy and Constraints on Its Hypothetical Constituents from Force Measurements
• Isotropic universe with almost scale-invariant fourth-order gravity
• Can the periodic spectral modulations of the 236 SETI candidate Sloan Survey stars be due to Dark Matter effects?
• GravitoMagnetic Force in Modified Newtonian Dynamics