Model-independent constraints on cosmic curvature: implication from the future gravitational wave observation DECIGO

Abstract

A model-independent test of the cosmic curvature parameter ${\Omega }_k$ is very important in cosmology. In order to estimate cosmic curvature from cosmological probes like standard candles, one has to be able to measure the luminosity distance $D_L(z)$, it's derivative with respect to redshift $D_L^{\prime }(z)$ and independently know the expansion rate $H(z)$ at the same redshift. In this paper, we study how such an idea could be implemented with the future generation of space-based DECi-hertz Interferometer Gravitational-wave Observatory (DECIGO), in combination with cosmic chronometers providing cosmology-independent $H(z)$ data. Our results show that for the Hubble diagram of simulated DECIGO data acting as a new type of standard siren, it would be able to constrain cosmic curvature with the precision of $\Delta {\Omega }_k=0.09$ with the currently available sample of 31 measurements of Hubble parameters. In the framework of the third generation ground-based gravitational wave detectors, the spatial curvature is constrained to be $\Delta {\Omega }_k=0.13$ for Einstein Telescope (ET). More interestingly, compared to other approaches aiming for model-independent estimations of spatial curvature, our analysis also achieves the reconstruction of the evolution of ${\Omega }_k(z)$, in the framework of a model-independent method of Gaussian processes (GP) without assuming a specific form. Therefore, one can expect that the newly emerged gravitational wave astronomy can become useful in local measurements of cosmic curvature using distant sources.

7 pages, 8 figures, Accepted for publication in EPJC

References in corpus (20)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Planck evidence for a closed Universe and a possible crisis for cosmology
• Gaussian Process Cosmography
• Determination of Dark Energy by the Einstein Telescope: Comparing with CMB, BAO and SNIa Observations
• Reconstruction of the deceleration parameter and the equation of state of dark energy
• Estimating cosmological parameters by the simulated data of gravitational waves from the Einstein Telescope
• Dynamical Dark Energy or Simply Cosmic Curvature?
• Reconstructing the interaction between dark energy and dark matter using Gaussian Processes
• Constraining cosmic curvature by using age of galaxies and gravitational lenses
• Model-independent estimations for the curvature from standard candles and clocks
• Implication of Dark Energy Parametrizations on the Determination of the Curvature of the Universe
• On the determination of curvature and dynamical Dark Energy
• Relativistic numerical cosmology with Silent Universes
• Model-independent Constraints on Cosmic Curvature and Opacity
• Model-independent Distance Calibration and Curvature Measurement using Quasars and Cosmic Chronometers
• Implications from simulated strong gravitational lensing systems: constraining cosmological parameters using Gaussian Processes
• Exploring the "$L$--$\sigma$" relation of HII galaxies and giant extragalactic HII regions acting as standard candles
• Model-independent Estimations for the Cosmic Curvature from the Latest Strong Gravitational Lensing Systems
• Constraints on cosmic curvature with lensing time delays and gravitational waves

Cited by in corpus (8)

• Measurements of the Hubble constant and cosmic curvature with quasars: ultra-compact radio structure and strong gravitational lensing
• Exploring the Hubble Tension and Spatial Curvature from the Ages of Old Astrophysical Objects
• Direct measurement of the distribution of dark matter with strongly lensed gravitational waves
• Direct Estimate of the Post-Newtonian Parameter and Cosmic Curvature from Galaxy-scale Strong Gravitational Lensing
• Measuring the speed of light with updated Hubble diagram of high-redshift standard candles
• Exploring bulk viscous unified scenarios with Gravitational Waves Standard Sirens
• Effect of peculiar velocities of inhomogeneities on the shape of gravitational potential in spatially curved universe
• Thermodynamic parametrization of dark energy