Exploring the distanceredshift relation with gravitational wave standard sirens and tomographic weak lensing
Abstract
Gravitational waves from inspiraling compact objects provide us with information of the distance scale since we can infer the absolute luminosity of the source from analysis of the wave form, which is known as standard sirens. The first detection of the gravitational wave signal of the binary black hole merger event by Advanced LIGO has opened up the possibility of utilizing standard sirens as cosmological probe. In order to extract information of the distanceredshift relation, we crosscorrelate weak lensing, which is an unbiased tracer of matter distribution in the Universe, with the projected number density of gravitational wave sources. For weak lensing, we employ tomography technique to efficiently obtain information of largescale structures at wide ranges of redshifts. Making use of the crosscorrelations along with the autocorrelations, we present forecast of constraints on four cosmological parameters, i.e., Hubble parameter, matter density, the equation of state parameter of dark energy, and the amplitude of matter fluctuation. To fully explore the ability of crosscorrelations, which require large overlapping sky coverage, we consider the specific case with the upcoming surveys by Euclid for weak lensing and Einstein Telescope for standard sirens. We show that cosmological parameters can be tightly constrained solely by these auto and crosscorrelations of standard sirens and weak lensing. For example, the 1 σ error of Hubble parameter is expected to be σ (H_{0})=0.33 km s^{1} Mpc^{1} . Thus, the proposed statistics will be a promising probe into the distance scale.
 Publication:

Physical Review D
 Pub Date:
 October 2018
 DOI:
 10.1103/PhysRevD.98.083524
 arXiv:
 arXiv:1807.00016
 Bibcode:
 2018PhRvD..98h3524O
 Keywords:

 Astrophysics  Cosmology and Nongalactic Astrophysics
 EPrint:
 12 pages, 5 figures, accepted to PRD