Astrophysical constraints on extended gravity models

Abstract

We investigate the propagation of gravitational waves in the context of fourth order gravity nonminimally coupled to a massive scalar field. Using the damping of the orbital period of coalescing stellar binary systems, we impose constraints on the free parameters of extended gravity models. In particular, we find that the variation of the orbital period is a function of three mass scales which depend on the free parameters of the model under consideration; we can constrain these mass scales from current observational data.

22 pages; minor changes to match published version

References in corpus (31)

• 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
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• A Massive Pulsar in a Compact Relativistic Binary
• Extended Theories of Gravity
• The Case for a Positive Cosmological Lambda-term
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• General relativity as an effective field theory: The leading quantum corrections
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Towards singularity and ghost free theories of gravity
• Timing Measurements of the Relativistic Binary Pulsar PSR B1913+16
• Gravity and the standard model with neutrino mixing
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Dark matter as a geometric effect in f(R) gravity
• Some remarks on high derivative quantum gravity
• Generalized Gravity and a Ghost
• Generalized virial theorem in f(R) gravity
• Galaxy rotation curves in $f(R,\varphi )$-gravity
• Probing Models of Extended Gravity using Gravity Probe B and LARES experiments
• Constraining the Noncommutative Spectral Action via Astrophysical Observations
• Quadrupolar gravitational radiation as a test-bed for f(R)-gravity
• Gravitational Waves in the Spectral Action of Noncommutative Geometry
• Constraints on NonCommutative Spectral Action from Gravity Probe B and Torsion Balance Experiments
• The most general fourth order theory of Gravity at low energy
• Conformal Transformations and Weak Field Limit of Scalar-Tensor Gravity
• The Post-Newtonian Limit of f(R)-gravity in the Harmonic Gauge
• Rotation Curves of Galaxies by Fourth Order Gravity
• Weak Gravitational Lensing in Fourth Order Gravity
• The post-Minkowskian limit of f(R)-gravity

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• Fundamental Physics with the Square Kilometre Array
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• Constraints on Horndeski Theory Using the Observations of Nordtvedt Effect, Shapiro Time Delay and Binary Pulsars
• Casimir effect in quadratic theories of gravity
• Casimir effect in Post-Newtonian Gravity with Lorentz-violation
• Cosmological reconstruction and energy bounds in $f(R,R_{\alpha \beta }{R}^{\alpha \beta },\varphi )$ gravity
• Casimir effect in Extended Theories of Gravity
• Effects of modified theories of gravity on neutrino pair annihilation energy deposition near neutron stars
• Light bending by a slowly rotating source in quadratic theories of gravity
• Testing fundamental physics with photon frequency shift
• Quantum interference in external gravitational fields beyond General Relativity
• Precession shift in curvature based Extended Theories of Gravity and Quintessence fields
• Constraints on fourth order gravity from binary pulsar and gravitational waves
• Cosmology in the mimetic higher-curvature $f(R,R_{\mu \nu }{R}^{\mu \nu })$ gravity
• Post-Newtonian N-Body Dynamics in Extended Theories of Gravity