No slip gravity in light of LISA standard sirens

TL;DR

This paper explores the potential of LISA standard sirens to test modifications to general relativity, specifically No Slip gravity, by analyzing mock catalogs and assessing parameter constraints at high redshifts.

Contribution

It introduces a method to constrain No Slip gravity parameters using LISA standard sirens and evaluates the achievable accuracy with and without CMB data.

Findings

Constraints on deviations from GR can reach 21",

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Abstract

Standard sirens (SS) are the gravitational wave analog of the astronomical standard candles, and can provide powerful information about the dynamics of the Universe up to very high $z$ values. In this work, we generate three mock SS catalogs based on the merger of massive black hole binaries which are expected to be observed in the LISA operating frequency band. Then, we perform an analysis to test modifications of general relativity (GR) inspired by the No Slip gravity framework. We find that in the best scenarios, we can constrain the free parameters which quantify deviations from GR to 21\% accuracy, while the Hubble parameter can be simultaneously fit to 6\% accuracy. In combination with CMB information, we find a 15\% accuracy on the modified gravity free parameters and 0.7\% accuracy on the Hubble parameter. The SS events at very large cosmological distances to be observed in LISA band will provide a unique way to test nature of gravity, but in the context of the analysis performed here, it will not be possible to distinguish the No Slip gravity from GR.