Gravitational waves in higher-order $R^2$ gravity

Abstract

We perform a comprehensive study of gravitational waves in the context of the higher-order quadratic scalar curvature gravity, which encompasses the ordinary Einstein-Hilbert term in the action plus an $R^2$ contribution and a term of the type $R\square R$. The main focus is on gravitational waves emitted by binary systems such as binary black holes and binary pulsars in the approximation of circular orbits and nonrelativistic motion. The waveform of higher-order gravitational waves from binary black holes is constructed and compared with the waveform predicted by standard general relativity; we conclude that the merger occurs earlier in our model than what would be expected from GR. The decreasing rate of the orbital period in binary pulsars is used to constrain the coupling parameters of our higher-order $R^2$ gravity; this is done with Hulse-Taylor binary pulsar data leading to ${\kappa }_0^{-1}\lesssim 1.1\times 10^{16}{\text{m}}^2$, where ${\kappa }_0^{-1}$ is the coupling constant for the $R^2$ contribution.

37 pages plus appendices and references (single-column REVTeX file), 4 figures; v2: references added; v3: matches the published version; v4: typo affecting the value of the Eöt-Wash experiment constraint corrected (results unchanged)

References in corpus (19)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• Observation of gravitational waves from two neutron star-black hole coalescences
• Planck evidence for a closed Universe and a possible crisis for cosmology
• Black Holes in Higher-Derivative Gravity
• Eppur è piatto? The cosmic chronometer take on spatial curvature and cosmic concordance
• Arbitrating the $S_8$ discrepancy with growth rate measurements from Redshift-Space Distortions
• On the 1/c Expansion of f(R) Gravity
• Static Solutions for 4th order gravity
• $f(R)$ gravity constrained by PPN parameters and stochastic background of gravitational waves
• Palatini formulation of pure $R^2$ gravity yields Einstein gravity with no massless scalar
• Massive gravitational waves from the R^2 theory of gravity: production and response of interferometers
• The production of matter from curvature in a particular linearized high order theory of gravity and the longitudinal response function of interferometers
• On Gravitational Radiation in Quadratic $f(R)$ Gravity
• New Graviton Mass Bound from Binary Pulsars
• Quantum Corrections to the Gravitational Backreaction
• Mutated hybrid inflation in $f(R,\square R)$-gravity
• Higher-Curvature Gravity, Black Holes and Holography

Cited by in corpus (8)

• Neutron Stars in Modified Teleparallel Gravity
• Observational constraints on varying fundamental constants in a minimal CPC model
• Gravitational waves from inspiraling black holes in quadratic gravity
• Constraining the topological Gauss-Bonnet coupling from GW150914
• Testing gravity with gauge-invariant polarization states of gravitational waves: Theory and pulsar timing sensitivity
• Second-order corrections to Starobinsky inflation
• Gravitational Waves Emission in Quadratic Gravity: longitudinal modes, angular momentum emission, and positivity of the radiated power
• The Organization of Chaos into a Molecular Trap that Supervises Ligand-Interaction, Selection and Steric Guidance Similar to Events in Black Holes