Scalar modes in extended hybrid metric-Palatini gravity: weak field phenomenology

Abstract

We investigate the nature of additional scalar degrees of freedom contained in extended hybrid metric-Palatini gravity, outlining the emergence of two coupled dynamical scalar modes. In particular, we discuss the weak field limit of the theory, both in the static case and from a gravitational waves perspective. In the first case, performing an analysis at the lowest order of the post parameterized Newtonian (PPN) structure of the model, we stress the settling of Yukawa corrections to the Newtonian potential. In this respect, we show that one scalar field can have long range interactions and used in the principle for mimicking dark matter effects. Concerning the gravitational waves propagation, instead, we demonstrate that is possible to have well-defined physical degrees of freedom, provided by suitable constraints on model parameters. Moreover, the study of the geodesic deviation points out the presence of breathing and longitudinal polarizations due to these novel scalar waves, which on peculiar assumptions can give rise to beating phenomena during their propagation.

arXiv comment14 pages, 1 figure. Comments are welcome

References in corpus (81)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The Structure of Cold Dark Matter Halos
• The Cosmological Constant and Dark Energy
• 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
• Supersymmetric Dark Matter
• Cosmological Constant - the Weight of the Vacuum
• f(R,T) gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• The Cosmological Constant
• The galileon as a local modification of gravity
• Tests of general relativity with GW150914
• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• A Theory of Dark Matter
• Chameleon Cosmology
• The Confrontation between General Relativity and Experiment
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Observational Probes of Cosmic Acceleration
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Covariant Galileon
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Chern-Simons Modification of General Relativity
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Physical Aspects of the Space-Time Torsion
• Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
• The Dawn of FIMP Dark Matter: A Review of Models and Constraints
• Reconciling dark energy models with f(R) theories
• Dark Energy vs. Modified Gravity
• Real and complex connections for canonical gravity
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• The basics of gravitational wave theory
• Modified teleparallel theories of gravity
• Dark matter production in the early Universe: beyond the thermal WIMP paradigm
• Solar System constraints to general f(R) gravity
• f(R, T, R_μνT^μν) gravity phenomenology and ΛCDM universe
• f(R) Gravity and Chameleon Theories
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Dark matter as a geometric effect in f(R) gravity
• Model-Independent Test of General Relativity: An Extended post-Einsteinian Framework with Complete Polarization Content
• Dark Matter and Background Light
• Likely Values of the Cosmological Constant
• Metric-Palatini gravity unifying local constraints and late-time cosmic acceleration
• Higher order gravity theories and scalar tensor theories
• Linearized f(R) Gravity: Gravitational Radiation & Solar System Tests
• Fourth order gravity: equations, history, and applications to cosmology
• Massive gravitational waves from f(R) theories of gravity: Potential detection with LISA
• Evidence of self-interacting cold dark matter from galactic to galaxy cluster scales
• The virial theorem and the dark matter problem in hybrid metric-Palatini gravity
• A Search for Tensor, Vector, and Scalar Polarizations in the Stochastic Gravitational-Wave Background
• Polarizations of gravitational waves in $f(R)$ gravity
• Generalized hybrid metric-Palatini gravity
• Palatini formulation of $f(R,T)$ gravity theory, and its cosmological implications
• First search for nontensorial gravitational waves from known pulsars
• Hybrid modified gravity unifying local tests, galactic dynamics and late-time cosmic acceleration
• Galactic rotation curves in hybrid metric-Palatini gravity
• Solar system constraints on R${}^n$ gravity
• On Poincaré gauge theory of gravity, its equations of motion, and Gravity Probe B
• Metric-affine f(R,T) theories of gravity and their applications
• Cosmological solutions in generalized hybrid metric-Palatini gravity
• A dynamical system analysis of hybrid metric-Palatini cosmologies
• Detecting Beyond-Einstein Polarizations of Continuous Gravitational Waves
• Testing Brans-Dicke gravity using the Einstein telescope
• Galaxy rotation curves in $f(R,\varphi )$-gravity
• Hybrid metric-Palatini stars
• Ghosts in pure and hybrid formalisms of gravity theories: a unified analysis
• From the Einstein-Cartan to the Ashtekar-Barbero canonical constraints, passing through the Nieh-Yan functional
• Crossing SNe Ia and BAO observational constraints with local ones in hybrid metric-Palatini gravity
• Gauge invariant formulation of gravitational waves in metric $f(R)$ gravity
• Perihelion precession for modified Newtonian gravity
• Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity
• Constraining modified theories of gravity with gravitational wave stochastic background
• Jumping from Metric f(R) to Scalar-Tensor Theories and the relations between their post-Newtonian Parameters
• Implications of the Holst term in a $f(R)$ theory with torsion
• $f(R)$ gravity with Torsion and the Immirzi field: signature for GW detection
• Modified Gravitational Waves Across Galaxies from Macroscopic Gravity
• Gauge independent response of a laser interferometer to gravitational waves

Cited by in corpus (25)

• Junction conditions and thin-shells in perfect-fluid $f\left(R,T\right)$ gravity
• Polarizations of Gravitational Waves in the Bumblebee Gravity Model
• Beyond Einstein's General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings
• Big-bounce and future time singularity resolution in Bianchi I: the projective invariant Nieh-Yan case
• Double gravitational layer traversable wormholes in hybrid metric-Palatini gravity
• Spherically symmetric black holes and wormholes in hybrid metric-Palatini gravity
• Late-time evolution of the Universe within a two-scalar-field cosmological model
• Thick brane structures in generalized hybrid metric-Palatini gravity
• Gravitational Landau Damping for massive scalar modes
• Polarization Modes of Gravitational Waves in Palatini Horndeski theory
• Hybrid metric-Palatini gravity: black holes, wormholes, singularities and instabilities
• Junction conditions for generalized hybrid metric-Palatini gravity with applications
• Sudden singularities in generalized hybrid metric-Palatini cosmologies
• Geometric Proca with Matter in Metric-Palatini Gravity
• Weak-field regime of the generalized hybrid metric-Palatini gravity
• Black Hole Perturbations and Quasinormal Modes in Hybrid Metric-Palatini Gravity
• Cosmic strings in generalized hybrid metric-Palatini gravity
• Spherically symmetric space-times in generalized hybrid metric-Palatini gravity
• Dynamical reconstruction of the $\Lambda$CDM model in hybrid metric-Palatini gravity
• Novel electrically charged wormhole, black hole and black bounce exact solutions in hybrid metric-Palatini gravity
• Inflation in non-local hybrid metric-Palatini gravity
• Gravitational wave propagation in generalized hybrid metric-Palatini gravity
• Hybrid metric-Palatini gravity: Regular stringlike configurations
• The role of longitudinal polarizations in Horndeski and macroscopic gravity: Introducing gravitational plasmas
• Energy conditions and gravitational baryogenesis in $f(R,\mathcal{R})$ gravity