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Competitive effects between gravitational radiation and mass variation for two-body systems in circular orbits

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Abstract

This work provides, at lower order, general analytical solutions for the orbital separation, merging time, and orbital frequency of binary systems emitting gravitational waves while being submitted to mass variations. Specific features, depending on the exponent of the mass derivative, are investigated in details. Two phenomenologically interesting cases are explicitly considered: (i) binaries formed by two light primordial black holes submitted to Hawking evaporation and (ii) bodies driven by a Bondi accretion of phantom dark energy. It is shown that three different regimes arise, including an intricate non-monotonic behaviour of the system. We study subtle imprints that could be associated with those phenomena. A careful analysis of the conditions of validity of the different hypotheses performed is finally carried out.

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Notes

  1. Unlike post-Newtonian expansions, in which the development is based on a combination of powers of the velocity and of the gravitational constant, in the post-Minkowskian case, the developments are using only the gravitational constant, allowing the analysis to be carried out even at relativistic velocities.

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Authors and Affiliations

  1. Laboratoire de Physique Subatomique et de Cosmologie, Univ. Grenoble-Alpes, CNRS/IN2P3 53, avenue des Martyrs, 38026, Grenoble Cedex, France

    Baptiste Blachier, Aurélien Barrau, Killian Martineau & Cyril Renevey

  2. Department of Physics, École Normale Supérieure de Lyon, 69364, Lyon, France

    Baptiste Blachier

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Blachier, B., Barrau, A., Martineau, K. et al. Competitive effects between gravitational radiation and mass variation for two-body systems in circular orbits. Gen Relativ Gravit 56, 20 (2024). https://doi.org/10.1007/s10714-024-03201-3

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