$\kappa$-General-Relativity II: An Astrophysical Observable from a 2-Body system

Abstract

We examine gravitational waves (GWs) from Binary Black Holes (BBH) as possible suitable systems for investigating the physical validity of theories predicting the Relative Locality (RL) effect, an effect arising in the kappa-Minkowski non-commutative spacetime, a central property in theories of Quantum Gravity (QG) Phenomenology. Hence, we are taking a step towards realizing the purpose of the phenomenological effort of having observational evidence to put constraints on QG approaches. In particular, we show that the RL effect induces an uncertainty in the observed rotational frequency omega during the inspiral phase. This uncertainty becomes stronger with increasing observational distance. It also increases with decreasing orbital radius, and it statistically accumulates as an increasing variance of omega over successive cycles. In terms of the post-Newtonian deviations, the uncertainty contributes at 1.25th order, an order that has not yet been directly constrained in GW analyses.

arXiv comment15 pages, 3 figures. Any comments are welcome (email in the paper)

References in corpus (48)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• The Confrontation between General Relativity and Experiment
• Advanced LIGO
• Tests of general relativity with GW150914
• Science Case for the Einstein Telescope
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Binary Black Hole Mergers in the first Advanced LIGO Observing Run
• Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -
• 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
• Bicrossproduct structure of $\kappa$-Poincare group and non-commutative geometry
• Generalized Lorentz invariance with an invariant energy scale
• Tests of General Relativity with GW170817
• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• Computationally efficient models for the dominant and sub-dominant harmonic modes of precessing binary black holes
• Fundamental Theoretical Bias in Gravitational Wave Astrophysics and the Parameterized Post-Einsteinian Framework
• Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
• The principle of relative locality
• IMRPhenomXHM: A multi-mode frequency-domain model for the gravitational wave signal from non-precessing black-hole binaries
• Enriching the Symphony of Gravitational Waves from Binary Black Holes by Tuning Higher Harmonics
• Doubly Special Relativity theories as different bases of $\kappa$--Poincaré algebra
• Towards a generic test of the strong field dynamics of general relativity using compact binary coalescence
• Improving the NRTidal model for binary neutron star systems
• Gravitational Wave Tests of General Relativity with the Parameterized Post-Einsteinian Framework
• Parametrized tests of post-Newtonian theory using Advanced LIGO and Einstein Telescope
• Non-commutative space-time of Doubly Special Relativity theories
• Observer-independent quanta of mass and length
• TIGER: A data analysis pipeline for testing the strong-field dynamics of general relativity with gravitational wave signals from coalescing compact binaries
• Black Hole Based Tests of General Relativity
• Testing post-Newtonian theory with gravitational wave observations
• Probing the non-linear structure of general relativity with black hole binaries
• Testing the no-hair theorem with black hole ringdowns using TIGER
• Frequency domain reduced order model of aligned-spin effective-one-body waveforms with higher-order modes
• The basic physics of the binary black hole merger GW150914
• Multi-band gravitational-wave astronomy: parameter estimation and tests of general relativity with space and ground-based detectors
• In-vacuo-dispersion features for GRB neutrinos and photons
• An aligned-spin neutron-star--black-hole waveform model based on the effective-one-body approach and numerical-relativity simulations
• Tests of General Relativity with Gravitational-Wave Observations using a Flexible--Theory-Independent Method
• Parameterized tests of the strong-field dynamics of general relativity using gravitational wave signals from coalescing binary black holes: Fast likelihood calculations and sensitivity of the method
• Noncommutative Gravity Solutions
• Binary Pulsar Constraints on the Parameterized post-Einsteinian Framework
• Relative locality in a quantum spacetime and the pregeometry of $\kappa$-Minkowski
• Curved momentum space, locality, and generalized space-time
• Relativistic compatibility of the interacting $\kappa$-Poincaré model and implications for the relative locality framework
• New gravitational waveform model for precessing binary neutron stars with double-spin effects
• Metric perturbations in Noncommutative Gravity
• $\kappa$-General-Relativity I: a Non-Commutative GR Theory with the $\kappa$-Minkowski Spacetime as its Flat Limit