Scalarons mimicking Dark Matter in the Hu-Sawicki model of f(R) gravity

Abstract

In this paper, we conduct a study on the scalar field obtained from $f(R)$ gravity via Weyl transformation of the spacetime metric $g_{\mu \nu }$ from the Jordan frame to the Einstein frame. The scalar field is obtained as a result of the modification in the geometrical part of Einstein's field equation of General Relativity. For the Hu-Sawicki model of $f(R)$ gravity, we find the effective potential of the scalar field and calculate its mass. Our study shows that the scalar field (also named as scalaron) obtained from this model has the chameleonic property, i.e.\ the scalaron becomes light in the low-density region while it becomes heavy in the high-density region of matter. Then it is found that the scalaron can be regarded as a dark matter (DM) candidate since the scalaron mass is found to be quite close to the mass of ultralight axions, a prime DM candidate. Thus the scalaron in the Hu-Sawicki model of $f(R)$ gravity behaves as DM. Further, a study on the evolution of the scalaron mass with the redshift is also carried out, which depicts that scalaron becomes light with expansion of the Universe and with different rates at different stages of the Universe.

arXiv comment14 pages, 7 figures

References in corpus (57)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Planck 2015 results. XIII. Cosmological parameters
• Particle Dark Matter: Evidence, Candidates and Constraints
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• f(R) theories
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• A direct empirical proof of the existence of dark matter
• Cold and Fuzzy Dark Matter
• Ultralight scalars as cosmological dark matter
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Dark Matter Candidates from Particle Physics and Methods of Detection
• A History of Dark Matter
• Primordial Black Holes as Dark Matter: Recent Developments
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• A New Cosmological Model of Quintessence and Dark Matter
• A New Era in the Quest for Dark Matter
• Dark matter and cosmic structure
• Dark matter maps reveal cosmic scaffolding
• Dark Light, Dark Matter and the Misalignment Mechanism
• The Dark Matter Distribution in Disk Galaxies
• The distribution of dark matter in galaxies
• The dark matter of gravitational lensing
• Galactic Searches for Dark Matter
• Dark matter as a geometric effect in f(R) gravity
• A Singularity Problem with f(R) Dark Energy
• Dark Matter from R^2-gravity
• Dark Matter: A Primer
• The Mass of the Milky Way: Limits from a Newly Assembled Set of Halo Objects
• Dark Matter From f(R,T) Gravity
• How Dark Matter Came to Matter
• Chandra Observations of Abell 2029: The Dark Matter Profile Down to <0.01 R_vir in an Unusually Relaxed Cluster
• Unifying of Inflation with Early and Late Dark Energy Epochs in Axion $F(R)$ Gravity
• Classifying and avoiding singularities in the alternative gravity dark energy models
• Relativistic stars in f(R) and scalar-tensor theories
• Unification of Inflation with Dark Energy in $f(R)$ Gravity and Axion Dark Matter
• Geometric Inflation and Dark Energy with Axion $F(R)$ Gravity
• Rescaled Einstein-Hilbert Gravity from $f(R)$ Gravity: Inflation, Dark Energy and the Swampland Criteria
• Viable Palatini-f(R) cosmologies with generalized dark matter
• Quantum equivalence of $f(R)$ gravity and scalar-tensor theories
• Modified Gravity Explains Dark Matter?
• Aspects of Axion $F(R)$ Gravity
• Supermassive Neutron Stars in Axion $F(R)$ Gravity
• Universal Inflationary Attractors Implications on Static Neutron Stars
• Neutron Stars in Screened Modified Gravity: Chameleon vs Dilaton
• Cosmic History of Chameleonic Dark Matter in $F(R)$ Gravity
• Dark matter as scalaron in $f(R)$ gravity models
• Decay of Ultralight Axion Condensates
• Cosmological dynamics of $f(R)$ gravity scalar degree of freedom in Einstein frame
• Cosmology with Hu-Sawicki gravity in Palatini Formalism
• Power-Law $f(R)$ Gravity Corrected Canonical Scalar Field Inflation
• Can Dark Matter be an artifact of extended theories of gravity?
• The Primordial Black Hole Mass Range
• Equivalence between Scalar-Tensor theories and $f(R)$-gravity: From the action to Cosmological Perturbations

Cited by in corpus (20)

• Tideless Traversable Wormholes surrounded by cloud of strings in $f(R)$ gravity
• Bianchi Type I model of universe with customized scale factors
• Strange stars in $f(\mathcal{R})$ gravity Palatini formalism and gravitational wave echoes from them
• Quasinormal modes, thermodynamics and shadow of black holes in Hu-Sawicki f(R) gravity theory
• Galactic rotation dynamics in a new $f(\mathcal{R})$ gravity model
• Tabletop potentials for inflation from $f(R)$ gravity
• Deflection angle, quasinormal modes and optical properties of a de Sitter black hole in $f(\mathcal{T},\mathcal{B})$ gravity
• Initial conditions for the scalaron dark matter
• On the Conformal Frames in $f(R)$ Gravity
• Spherically symmetric configurations in the quadratic $f(R)$ gravity
• Galactic rotation curves of spiral galaxies and dark matter in f(R,T) gravity theory
• Scalaron dark matter and the thermal history of the universe
• $f(R)$ gravity in the solar system and cosmological scalarons
• Interactions of the scalaron dark matter in $f(R)$ gravity
• Galactic dynamics in the presence of scalaron: A perspective from $\mathbf{f}(\mathbf{R})$ gravity
• Investigating the effects of gravitational lensing by Hu-Sawicki $\mathbf{f}(\mathbf{R})$ gravity black holes
• Universality in static spherically symmetric solutions of f(R) gravity
• Effective scalaron--photon interaction in $f(R)$ gravity
• Accelerating electrically charged ModMax black hole solutions in $F(R)$ gravity
• Thermodynamics and optical aspects of ModMax black holes in higher order curvature gravity with quintessence dark energy