Einstein vs Hawking: black hole binaries and cosmological expansion Aurélien Barrau, Baptiste Blachier, Maxime Lahlou, Andrew Liu and Killian Martineau Eur. Phys. J. C, 83 11 (2023) 1025 Published online: 12 November 2023 DOI: 10.1140/epjc/s10052-023-12210-6