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Testing gravity with cosmic variance-limited pulsar timing array correlations

Reginald Christian Bernardo1,2,* and Kin-Wang Ng2,3,†

  • 1Asia Pacific Center for Theoretical Physics, Pohang 37673, Korea
  • 2Institute of Physics, Academia Sinica, Taipei 11529, Taiwan
  • 3Institute of Astronomy and Astrophysics, Academia Sinica, Taipei 11529, Taiwan

  • *reginald.bernardo@apctp.org
  • †nkw@phys.sinica.edu.tw

Phys. Rev. D 109, L101502 – Published 20 May, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L101502

Abstract

The nanohertz stochastic gravitational wave background (SGWB) is an excellent early universe laboratory for testing the fundamental properties of gravity. In this paper, we elucidate on the full potential of pulsar timing array (PTA) by utilizing cosmic variance-limited, or rather experimental noise-free, correlation measurements to understand the SGWB and by extension gravity. We show that measurements of the angular power spectrum play a pivotal role in the PTA precision era for scientific inferencing. In particular, we illustrate that cosmic variance-limited measurements of the first few power spectrum multipoles enable us to clearly set apart general relativity from alternative theories of gravity. This ultimately conveys that PTAs can be most ambitious for testing gravity in the nanohertz GW regime by zeroing in on the power spectrum.

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