Constraint on the mass of graviton with gravitational waves

Abstract

We consider the effects of the mass of graviton on both the waveform of gravitational waves and the antenna response to gravitational waves. We find the effect on the response function is negligible for small mass. By using the Fisher matrix method, we make parameter estimations with space-based gravitational wave detectors for massive black hole binaries in massive gravity theory. The wavelength of massive graviton is constrained to be ${\lambda }_g\gtrsim 10^{17}$ m and the mass is constrained to be $m_g\lesssim 10^{-60}$ kg by one year's observation of massive black hole binaries with space-based gravitational wave detectors.

arXiv comment23 pages, 3 tables, 4 figures. Minor changes to match the version published on SCPMA(SCIENCE CHINA Physics, Mechanics & Astronomy)

References in corpus (63)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Modified Gravity and Cosmology
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• 4D Gravity on a Brane in 5D Minkowski Space
• Quantum Gravity at a Lifshitz Point
• Planck 2018 results. X. Constraints on inflation
• TianQin: a space-borne gravitational wave detector
• Resummation of Massive Gravity
• Tests of general relativity with GW150914
• Massive Gravity
• Theoretical Aspects of Massive Gravity
• Gravity with a dynamical preferred frame
• Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1
• Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
• Resolving the Ghost Problem in non-Linear Massive Gravity
• Chern-Simons Modification of General Relativity
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Tests of General Relativity with GW170817
• Taiji Program: Gravitational-Wave Sources
• The relativistic pulsar-white dwarf binary PSR J1738+0333 II. The most stringent test of scalar-tensor gravity
• Bounding the mass of the graviton using gravitional-wave observations of inspiralling compact binaries
• Estimating spinning binary parameters and testing alternative theories of gravity with LISA
• Einstein-Aether Waves
• Concepts and status of Chinese space gravitational wave detection projects
• Setting the cornerstone for the IMRPhenomX family of models for gravitational waves from compact binaries: The dominant harmonic for non-precessing quasi-circular black holes
• Relativistic Measurements from Timing the Binary Pulsar PSR B1913+16
• Sensitivity curves for spaceborne gravitational wave interferometers
• Probing non-tensorial polarizations of stochastic gravitational-wave backgrounds with ground-based laser interferometers
• The Gravitational-Wave Physics
• Accurate and efficient waveforms for compact binaries on eccentric orbits
• A Search for Tensor, Vector, and Scalar Polarizations in the Stochastic Gravitational-Wave Background
• Polarizations of gravitational waves in $f(R)$ gravity
• Stability of spherically symmetric solutions in modified theories of gravity
• Testing Alternative Theories of Gravity using LISA
• The Gravitational-Wave Physics II: Progress
• Gravitational waves in Einstein-æther and generalized TeVeS theory after GW170817
• A Refined Einstein-Gauss-Bonnet Inflationary Theoretical Framework
• Probing Dynamical Gravity with the Polarization of Continuous Gravitational Waves
• Polarizations of Gravitational Waves in Horndeski Theory
• Constraints on scalar-tensor theory of gravity by the recent observational results on gravitational waves
• Detecting Beyond-Einstein Polarizations of Continuous Gravitational Waves
• LISA Sensitivities to Gravitational Waves from Relativistic Metric Theories of Gravity
• Polarization test of gravitational waves from compact binary coalescences
• Model-independent test of gravity with a network of ground-based gravitational-wave detectors
• The Polarizations of Gravitational Waves
• Reviving non-Minimal Horndeski-like Theories after GW170817: Kinetic Coupling Corrected Einstein-Gauss-Bonnet Inflation
• Gravitational waves and the polarizations in Hořava gravity after GW170817
• Gravitational Wave Polarizations in $f(R)$ Gravity and Scalar-Tensor Theory
• Frequency response of space-based interferometric gravitational-wave detectors
• A Nearly Massless Graviton in Einstein-Gauss-Bonnet Inflation with Linear Coupling Implies Constant-roll for the Scalar Field
• Intermediate Mass-Ratio Inspirals with Dark Matter Minispikes
• Gravitational waves in Einstein-Æther theory and generalized TeVeS theory after GW170817
• Constraint on the Yukawa suppression of the Newtonian potential from the planetary ephemeris INPOP19a
• Prospects for gravitational-wave polarization test from compact binary mergers with future ground-based detectors
• Full analytical formulas for frequency response of space-based gravitational wave detectors
• Frequency response of time-delay interferometry for space-based gravitational wave antennas
• Fierz-Pauli theory reloaded: from a theory of a symmetric tensor field to linearized massive gravity
• Detecting electric charge with Extreme Mass Ratio Inspirals
• Constraining gravitational-wave polarizations with Taiji
• Source localizations with the network of space-based gravitational wave detectors
• Estimation of the gravitational wave polarizations from a non template search
• Detection of gravitational wave mixed polarization with single space-based detectors
• Laser interferometer response to scalar massive gravitational waves

Cited by in corpus (7)

• Gravitational waveforms from periodic orbits around a quantum-corrected black hole
• Lorentz violation induces isospectrality breaking in Einstein-Bumblebee gravity theory
• Unveiling the Graviton Mass Bounds through Analysis of 2023 Pulsar Timing Array Data Releases
• Testing alternative theories of gravity with space-based gravitational wave detectors
• Polarization modes of gravitational waves in general Einstein-vector theory
• The effect of the gravitational constant variation on the propagation of gravitational waves
• Damping of gravitational waves in f(R) gravity