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GR: Fachverband Gravitation und Relativitätstheorie

GR 7: Cosmo I, Relastro II, GW II

GR 7.5: Vortrag

Mittwoch, 2. April 2025, 14:50–15:10, ZHG008

Simulating Relativistic Binary-Single and Binary-Binary Encounters — •Felix Heinze and Bernd Brügmann — Friedrich-Schiller-Universität Jena, Theoretisch-Physikalisches Institut, Fröbelstieg 1, 07743 Jena

The motion of N bodies under their mutual gravitational interaction has been a central problem in astrophysics and celestial mechanics for centuries, dating back to 1687, when Isaac Newton published his Principia. Despite centuries of progress, gravitational N-body systems remain a rich and active field of research, with binary-single and binary-binary encounters forming an important subset of interest in astrophysics. For N>2, even Newtonian systems generally defy analytical solutions, exhibiting complex dynamics and chaotic behavior. For the problem of N black holes moving in close proximity and at high speeds, relativistic effects must be taken into account, introducing additional complexity to the solutions.

In this talk, we will present the first results of a series of fully relativistic simulations of black hole binary-single and binary-binary encounters using the numerical relativity code BAM. These simulations reveal intricate dynamics and characteristic waveforms that are absent in (Post-)Newtonian N-body simulations or fully relativistic simulations limited to two black holes. The results highlight the importance of relativistic effects in shaping the outcomes of close black hole interactions and provide new insights into their gravitational wave phenomenology.

Keywords: Black Holes; Numerical Relativity; Gravitational Waves; Gravitational Dynamics; Three-Body Problem