Scalar field mass in generalized gravity

Abstract

The notions of mass and range of a Brans-Dicke-like scalar field in scalar-tensor and f(R) gravity are subject to an ambiguity that hides a potential trap. We spell out this ambiguity and identify a physically meaningful and practical definition for these quantities. This is relevant when giving a mass to this scalar in order to circumvent experimental limits on the PPN parameters coming from Solar System experiments.

11 pages, no figures, to appear in Class. Quantum Grav. References added

References in corpus (51)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Cosmological Results from High-z Supernovae
• Relativistic gravitation theory for the MOND paradigm
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• 1/R gravity and Scalar-Tensor Gravity
• The Large Scale Structure of f(R) Gravity
• 23 High Redshift Supernovae from the IfA Deep Survey: Doubling the SN Sample at z>0.7
• One-loop f(R) gravity in de Sitter universe
• Extended Gravity Theories and the Einstein-Hilbert Action
• Solar System constraints to general f(R) gravity
• The pattern of growth in viable f(R) cosmologies
• The conformal frame freedom in theories of gravitation
• Limit to General Relativity in f(R) theories of gravity
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Matter instability in modified gravity
• The (pseudo)issue of the conformal frame revisited
• The stability of modified gravity models
• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• f(R) actions, cosmic acceleration and local tests of gravity
• MOND and the "Dearth of Dark Matter in Ordinary Elliptical Galaxies"
• Fourth order gravity: equations, history, and applications to cosmology
• MOND--theoretical aspects
• A Preliminary Indication of Evolution of Type Ia Supernovae from their Risetimes
• A no-go theorem for polytropic spheres in Palatini f(R) gravity
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• The phase space view of f(R) gravity
• On the Stability of a class of Modified Gravitational Models
• Modified gravity and the stability of de Sitter space
• Theory of gravitation theories: a no-progress report
• Curvature singularities, tidal forces and the viability of Palatini f(R) gravity
• Cosmology in Brans-Dicke theory with a scalar potential
• How (Not) to Palatini
• The Cauchy problem of f(R) gravity
• de Sitter attractors in generalized gravity
• Phase space geometry in scalar-tensor cosmology
• Microscopic and Macroscopic Behaviors of Palatini Modified Gravity Theories
• One-loop f(R) Gravitational Modified Models
• Resource Letter: Dark Energy and the Accelerating Universe
• Acceleration of the Universe via f(R) Gravities and The Stability of Extra Dimensions
• Breakdown of the initial value formulation of scalar-tensor gravity and its physical meaning
• Negative energy and stability in scalar-tensor gravity
• Palatini f(R) gravity as a fixed point
• Brans-Dicke geometry
• Boson stars in massive dilatonic gravity

Cited by in corpus (28)

• Extended Theories of Gravity
• Selected topics in scalar-tensor theories and beyond
• Omnipotent dark energy: A phenomenological answer to the Hubble tension
• Gravity and Scalar Fields
• Post-Newtonian parameters gamma and beta of scalar-tensor gravity with a general potential
• Dynamical complexity of the Brans-Dicke cosmology
• Brans-Dicke theory and the emergence of ΛCDM model
• Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
• Dynamics and cosmological constraints on Brans-Dicke cosmology
• Jumping from Metric f(R) to Scalar-Tensor Theories and the relations between their post-Newtonian Parameters
• Noncommutative minisuperspace, gravity-driven acceleration and kinetic inflation
• R^n gravity and the chameleon
• Anisotropic massive Brans-Dicke gravity extension of the standard $\Lambda$CDM model
• Weak-field limit of f(R)-gravity in three and more spatial dimensions
• Smoking guns of a bounce in modified theories of gravity through the spectrum of the gravitational waves
• $f(R)$ gravity: scalar perturbations in the late Universe
• Polar Quasinormal Modes of Neutron Stars in Massive Scalar-Tensor Theories
• Brans--Dicke cosmology does not have the $\Lambda$CDM phase as an universal attractor
• Stiff Matter Solution in Brans-Dicke Theory and The General Relativity Limit
• Thermal stability of stealth and de Sitter spacetimes in scalar-tensor gravity
• Are stealth scalar fields stable?
• The Chameleon Effect in the Jordan Frame of the Brans--Dicke Theory
• Cosmic Acceleration and Geodesic Deviation in Chameleon Scalar Field Model
• Constraining Red-shift Parametrization Parameters in Brans-Dicke Theory: Evolution of Open Confidence Contours
• Scalarized neutron stars with a highly relativistic core in scalar-tensor gravity
• BPS Skyrme neutron stars in generalized gravity
• Asymptotically Schwarzschild solutions in $f(R)$ extension of general relativity
• Effects of nonlinearity of $f(R)$ gravity and perfect fluid in Kaluza-Klein models with spherical compactification