DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Detecting the stochastic gravitational wave background from massive gravity with pulsar timing arrays

Journal Article · · Physical Review. D.

We explore the potential of pulsar timing arrays (PTAs) such as NANOGrav, EPTA, and PPTA to detect the stochastic gravitational wave background in theories of massive gravity. In general relativity, the function describing the dependence of the correlation between the arrival times of signals from two pulsars on the angle between them is known as the Hellings-Downs curve. We compute the analogous overlap reduction function for massive gravity, including the additional polarization states and the correction due to the mass of the graviton, and compare the result with the Hellings-Downs curve. The primary result is a complete analytical form for the analog Hellings-Downs curve, providing a starting point for future numerical studies aimed at a detailed comparison between PTA data and the predictions of massive gravity. We study both the massless limit and the stationary limit as checks on our calculation, and discuss how our formalism also allows us to study the impact of massive spin-2 dark matter candidates on data from PTAs.

Research Organization:
University of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); National Aeronautics and Space Administration (NASA)
Grant/Contract Number:
SC0013528
OSTI ID:
1979925
Journal Information:
Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 8 Vol. 104; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (21)

Pulsar Timing as a Probe of Non‐Einsteinian Polarizations of Gravitational Waves journal October 2008
Helicity formalism for spin-2 particles journal September 2003
Detecting Massive Gravitons Using Pulsar Timing Arrays journal October 2010
Optimal strategies for gravitational wave stochastic background searches in pulsar timing data journal April 2009
Theoretical aspects of massive gravity journal May 2012
Measuring stochastic gravitational-wave energy beyond general relativity journal November 2018
Limit on graviton mass using stacked galaxy cluster catalogs from SPT-SZ, Planck-SZ and SDSS-redMaPPer journal December 2018
Subluminal stochastic gravitational waves in pulsar-timing arrays and astrometry journal January 2021
Kaluza-Klein states from large extra dimensions journal March 1999
Pulsar timing measurements and the search for gravitational waves journal December 1979
Graviton mass bounds journal May 2017
Upper limits on the isotropic gravitational radiation background from pulsar timing analysis journal February 1983
Pulsar-timing arrays, astrometry, and gravitational waves journal March 2019
Gravitational-wave stochastic background from kinks and cusps on cosmic strings journal May 2010
The NANOGrav 12.5 yr Data Set: Search for an Isotropic Stochastic Gravitational-wave Background journal December 2020
Pulsar tests of the graviton mass journal January 2021
Relic gravitational waves and cosmology journal December 2005
The astrophysics of nanohertz gravitational waves journal June 2019
Pulsar timing array constraints on spin-2 ULDM journal September 2020
Mapping gravitational-wave backgrounds of arbitrary polarisation using pulsar timing arrays journal November 2015
Pulsar timing arrays and gravity tests in the radiative regime journal November 2013