Bounds on graviton mass using weak lensing and SZ effect in galaxy clusters

TL;DR

This study constrains the graviton's mass by analyzing galaxy cluster data via weak lensing and SZ effect, improving previous bounds and supporting massive gravity theories.

Contribution

It provides new upper bounds on graviton mass using galaxy cluster observations and a model-independent Hubble parameter, enhancing previous constraints.

Findings

Graviton mass $m_g < 5.9 imes 10^{-30}$ eV from weak lensing

Graviton mass $m_g < 8.31 imes 10^{-30}$ eV from SZ effect

Improves bounds on graviton mass from galaxy clusters

Abstract

In General Relativity (GR), the graviton is massless. However, a common feature in several theoretical alternatives of GR is a non-zero mass for the graviton. These theories can be described as massive gravity theories. Despite many theoretical complexities in these theories, on phenomenological grounds, the implications of massive gravity have been widely used to put bounds on graviton mass. One of the generic implications of giving a mass to the graviton is that the gravitational potential will follow a Yukawa-like fall off. We use this feature of massive gravity theories to probe the mass of graviton by using the largest gravitationally bound objects, namely galaxy clusters. In this work, we use the mass estimates of galaxy clusters measured at various cosmologically defined radial distances measured via weak lensing (WL) and Sunyaev-Zel'dovich (SZ) effect. We also use the model independent values of Hubble parameter $H(z)$ smoothed by a non-parametric method, Gaussian process. Within $1\sigma$ confidence region, we obtain the mass of graviton $m_g < 5.9 \times 10^{-30}$ eV with the corresponding Compton length scale $\lambda_g > 6.82$ Mpc from weak lensing and $m_g < 8.31 \times 10^{-30}$ eV with $\lambda_g > 5.012$ Mpc from SZ effect. This analysis improves the upper bound on graviton mass obtained earlier from galaxy clusters.