Constraints on $f(Q)$ logarithmic model using gravitational wave standard sirens

Abstract

In this paper, we study the constraints on the $f(Q)=Q/(8\pi G)-\alpha \ln (Q/Q_0)$, symmetric teleparallel model using local measurements and gravitational wave mock standard sirens. Using observational local SNIa and BAO data and energy conditions, the logarithmic $f(Q)$ model is capable of explaining the cosmic late-time acceleration by geometrical means. This result suggests that the logarithmic symmetric teleparallel model could be a candidate to solve the cosmological constant problem. In the case of the simulated standard siren data, by using the performance of the future ET and LISA detectors, we expect to be able to measure the current Hubble constant $H_0$, and the matter content ${\Omega }_m$, with a precision better than 1\% and 6\%, respectively. Furthermore, we explore the predicted $f(Q)$ logarithmic model deviation from the standard GR using ET and LISA mock standard sirens. The ratio $d_L^{\text{gw}}(z)/d_L^{\text{em}}(z)$, which quantifies the deviation from GR gives us a significant deviation higher than 13\% at $z=1$, and it continues growing to reach a deviation higher than 18\% in its median value. Future standard siren data will be able to quantify the strength of the deviation from GR and hence whether a cosmology like the one implied by this $f(Q)$ model is feasible.

arXiv comment17 pages, 3 figures. Version accepted in MNRAS

References in corpus (56)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Modified Gravity and Cosmology
• f(R) theories
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
• In the Realm of the Hubble tension $-$ a Review of Solutions
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• f(T) teleparallel gravity and cosmology
• Science Case for the Einstein Telescope
• The Temperature of the Cosmic Microwave Background
• Coincident General Relativity
• Challenges for $\Lambda$CDM: An update
• Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask)
• Conservative Constraints on Early Cosmology: an illustration of the Monte Python cosmological parameter inference code
• Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
• Cosmology in $f(Q)$ geometry
• Cosmology Intertwined II: The Hubble Constant Tension
• Teleparallel Gravity: From Theory to Cosmology
• Observational constraints of $f(Q)$ gravity
• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• First evidence that non-metricity f(Q) gravity could challenge $\Lambda$CDM
• Baryon acoustic oscillations from the complete SDSS-III Ly$\alpha$-quasar cross-correlation function at $z=2.4$
• The evolution of massive black holes and their spins in their galactic hosts
• Science with the space-based interferometer eLISA. III: Probing the expansion of the Universe using gravitational wave standard sirens
• Energy Conditions in $f(Q)$ gravity
• Testing modified gravity at cosmological distances with LISA standard sirens
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: a tomographic measurement of cosmic structure growth and expansion rate based on optimal redshift weights
• Testing $F(Q)$ gravity with redshift space distortions
• Signatures of $f(Q)$-gravity in cosmology
• Testing some f(R,T) gravity models from energy conditions
• Cosmology from large-scale structure: Constraining $\Lambda$CDM with BOSS
• Energy conditions and their cosmological implications
• Lagrange formulation of the symmetric teleparallel gravity
• Comparing Equivalent Gravities: common features and differences
• Observational constraints on cosmological solutions of $f(Q)$ theories
• Can $f(Q)$ gravity challenge $\Lambda$CDM?
• Cosmology in $f(Q)$ gravity: A unified dynamical system analysis at background and perturbation levels
• Constraining $f(Q,T)$ gravity from energy conditions
• Revisiting Cosmologies in Teleparallelism
• Probing observational bounds on scalar-tensor theories from standard sirens
• A designer approach to $f(Q)$ gravity and cosmological implications
• FLRW solutions in $f(Q)$ theory: the effect of using different connections
• Probing cosmic anisotropy with gravitational waves as standard sirens
• Lecture Notes in Cosmology
• Thermal History of the Early Universe and Primordial Gravitational Waves from Induced Scalar Perturbations
• Paramerization of deceleration parameter in $f(Q)$ gravity
• Fitting $f(Q,T)$ gravity models with a $\Lambda$CDM limit using H(z) and Pantheon data
• Forecasting constraints on deviations from general relativity in $f(Q)$ gravity with standard sirens
• Accelerating Universe scenario in anisotropic $f\left(Q\right)$ cosmology
• Dynamical dark energy models in the light of Gravitational-Wave Transient Catalogues
• Variational Principles in Teleparallel Gravity Theories

Cited by in corpus (12)

• Data reconstruction of the dynamical connection function in $f(Q)$ cosmology
• Observational test for $f(Q)$ gravity with weak gravitational lensing
• Neutron Star in Covariant $f(Q)$ gravity
• Equivalence of $f(Q)$ cosmology with quintom-like scenario: the phantom field as effective realization of the non-trivial connection
• Modified $f(Q)$ gravity models and their cosmological consequences
• Constraining Exponential f(Q) Gravity with Cosmic Chronometers and Supernovae: A Data-Driven Analysis
• Accelerating behavior from dynamical system analysis parameters
• Comparing measures of the Hubble and BAO tensions in $\Lambda$CDM and possible solutions in $f(Q)$ gravity
• Gravitational wave probes of Barrow cosmology with LISA standard sirens
• Modified $f(R,T)$ theory in light of gravitational wave standard sirens
• Vulnerability of f(Q) gravity theory and a possible resolution
• Bayesian Inference of Neutron Star Properties in $f(Q)$ Gravity Using NICER Observations