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

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 gro...

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Main Authors: Akshay Rana, Deepak Jain, Shobhit Mahajan, Amitabha Mukherjee
Format: Article
Language:English
Published: Elsevier 2018-06-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318302727
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author Akshay Rana
Deepak Jain
Shobhit Mahajan
Amitabha Mukherjee
author_facet Akshay Rana
Deepak Jain
Shobhit Mahajan
Amitabha Mukherjee
author_sort Akshay Rana
collection DOAJ
description 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 1σ confidence region, we obtain the mass of graviton mg<5.9×10−30 eV with the corresponding Compton length scale λg>6.82 Mpc from weak lensing and mg<8.31×10−30 eV with λg>5.012 Mpc from SZ effect. This analysis improves the upper bound on graviton mass obtained earlier from galaxy clusters.
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spelling doaj.art-733637d23e0d46d5bcfacbc195107dae2022-12-22T03:11:32ZengElsevierPhysics Letters B0370-26932018-06-01781220226Bounds on graviton mass using weak lensing and SZ effect in galaxy clustersAkshay Rana0Deepak Jain1Shobhit Mahajan2Amitabha Mukherjee3Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India; Corresponding author.Deen Dayal Upadhyaya College, University of Delhi, Sector-3, Dwarka, New Delhi 110078, IndiaDepartment of Physics and Astrophysics, University of Delhi, Delhi 110007, IndiaDepartment of Physics and Astrophysics, University of Delhi, Delhi 110007, IndiaIn 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 1σ confidence region, we obtain the mass of graviton mg<5.9×10−30 eV with the corresponding Compton length scale λg>6.82 Mpc from weak lensing and mg<8.31×10−30 eV with λg>5.012 Mpc from SZ effect. This analysis improves the upper bound on graviton mass obtained earlier from galaxy clusters.http://www.sciencedirect.com/science/article/pii/S0370269318302727
spellingShingle Akshay Rana
Deepak Jain
Shobhit Mahajan
Amitabha Mukherjee
Bounds on graviton mass using weak lensing and SZ effect in galaxy clusters
Physics Letters B
title Bounds on graviton mass using weak lensing and SZ effect in galaxy clusters
title_full Bounds on graviton mass using weak lensing and SZ effect in galaxy clusters
title_fullStr Bounds on graviton mass using weak lensing and SZ effect in galaxy clusters
title_full_unstemmed Bounds on graviton mass using weak lensing and SZ effect in galaxy clusters
title_short Bounds on graviton mass using weak lensing and SZ effect in galaxy clusters
title_sort bounds on graviton mass using weak lensing and sz effect in galaxy clusters
url http://www.sciencedirect.com/science/article/pii/S0370269318302727
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