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Adding electromagnetic birefringence to pulsar timing and astrometry to detect gravitational waves

Keisuke Inomata* and Marc Kamionkowski†

  • William H. Miller III Department of Physics and Astronomy, Johns Hopkins University, 3400 N. Charles Street, Baltimore, Maryland 21218, USA

  • *Contact author: inomata@jhu.edu
  • †Contact author: kamion@jhu.edu

Phys. Rev. D 113, L021307 – Published 29 January, 2026

DOI: https://doi.org/10.1103/5wh8-3k22

Abstract

It was recently shown that the time variation of the polarization of electromagnetic waves from pulsars can be used, in cross-correlation with pulsar timing, to probe the chirality of an isotropic gravitational wave background. Here, we show that the expression for the cross-correlation is derived efficiently with the total-angular-momentum formalism and use this framework to extend the formulation to cross-correlation with astrometry. We do so for spin-1 gravitational waves (that may arise in alternative-gravity theories) as well as the general-relativistic spin-2 gravitational waves.

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