A new f(R) Gravity Model and properties of Gravitational Waves in it

Abstract

In this paper, we have introduced a new $f(R)$ gravity model as an attempt to have a model with more parametric control, so that the model can be used to explain the existing problems as well as to explore new directions in physics of gravity, by properly constraining it with recent observational data. Here basic aim is to study the properties of Gravitational Waves (GWs) in this new model. In $f(R)$ gravity metric formalism, the model shows the existence of scalar degree of freedom as like other $f(R)$ gravity models. Due to this reason, there is a scalar mode of polarization of GWs present in the theory. This polarization mode exists in a mixed state, of which one is transverse massless breathing mode with non-vanishing trace and the other is massive longitudinal mode. The longitudinal mode being massive, travels at speed less than the usual tensor modes found in General Relativity (GR). Moreover, for a better understanding of the model, we have studied the potential and mass of scalar graviton in both Jordan frame and Einstein frame. This model can pass the solar system tests and can explain primordial and present dark energy. Also, we have put constraints on the model. It is found that the correlation function for the third mode of polarization under certain mass scale predicted by the model agrees well with the recent data of Pulsar Timing Arrays. It seems that this new model would be useful in dealing with different existing issues in the areas of astrophysics and cosmology.

25 pages, 16 figures

References in corpus (18)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• TEMPO2, a new pulsar timing package. I: Overview
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Conditions for the cosmological viability of f(R) dark energy models
• Tempo2, a new pulsar timing package. II: The timing model and precision estimates
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Solar System constraints to general f(R) gravity
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• New observational constraints on $f(R)$ gravity from cosmic chronometers
• Detecting massive gravitons using pulsar timing arrays
• Massive gravitational waves from the R^2 theory of gravity: production and response of interferometers
• Commensal discovery of four Fast Radio Bursts during Parkes Pulsar Timing Array observations
• Future Oscillations around Phantom Divide in f(R) Gravity
• The production of matter from curvature in a particular linearized high order theory of gravity and the longitudinal response function of interferometers
• On the current status of Modified Gravity
• Dynamical equivalence of $f(R)$ gravity in Jordan and Einstein frames
• Matter Power Spectra in Viable $f(R)$ Gravity Models with Dynamical Background

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• Quasinormal Modes and Greybody factors of de Sitter Black holes surrounded by Quintessence in Rastall gravity
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• Constraining Quadratic $f(R)$ Gravity from Astrophysical Observations of the Pulsar J0704+6620
• Phase structures and critical behaviour of rational non-linear electrodynamics AdS black holes in Rastall gravity
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• Propagation and Fluxes of Ultra High Energy Cosmic Rays in f(R) Gravity Theory
• Violation of Hod's Conjecture and Probing it with Optical properties of a 5-D black hole in Einstein Gauss-Bonnet Bumblebee theory of gravity
• New Wormhole Solutions in a Viable $f(R)$ Gravity Model
• Testing gravity with gauge-invariant polarization states of gravitational waves: Theory and pulsar timing sensitivity
• Anisotropies of Diffusive Ultra-high Energy Cosmic Rays in $f(R)$ Gravity Theory
• Scalar Mode Quadrupole Radiation from Astronomical Sources in $F(R)$ Modified Gravity
• Cosmological constraints on $R^2$-corrected Appleby-Battye model
• Cylindrical black hole solutions in $f(\mathcal{R})$ and $f(\mathcal{R},\mathcal{A},A^{\mu \nu }{A}_{\mu \nu })$ modified gravity
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• Gravitational radiation of a spherically symmetric source in $f(R)$-gravitation
• Magnetic Suppression of Cosmic Rays' Flux in $\mathbf{f}(\mathbf{R})$ and $\mathbf{f}(\mathbf{Q})$ Theories of Gravity
• Second-order corrections to Starobinsky inflation
• Gravitational waves in the extended theory of gravity
• Black holes in $f(R)$ gravity coupled to nonlinear electromagnetic fields
• Some exact relativistic star solutions in $f(R)$ gravity
• Galactic dynamics in the presence of scalaron: A perspective from $\mathbf{f}(\mathbf{R})$ gravity
• Ringdown of a black hole sourced by a Burkert-density effective anisotropic source
• Quasinormal Modes and Hawking Radiation Sparsity of GUP corrected Black Holes in Bumblebee Gravity with Topological Defects
• Testing the Quantum Equivalence Principle with Gravitational Waves
• Stable massless scalar polarization of f(R) gravity
• Modelling Cosmic Rays Flux with Pierre Auger and Telescope Array Data in $\mathbf{f}(\mathbf{R})$ and $\mathbf{f}(\mathbf{Q})$ Theories of Gravity
• Phase space analysis of Bianchi III Universe with $f(R,T)$ gravity theory
• Investigating the effects of gravitational lensing by Hu-Sawicki $\mathbf{f}(\mathbf{R})$ gravity black holes