Published September 2, 2025 | Published
Journal Article Open

Unveiling the Electrodynamic Nature of Spacetime Collisions

  • 1. ROR icon California Institute of Technology

Abstract

Gravitational waves from merging binary black holes present exciting opportunities for understanding fundamental aspects of gravity, including nonlinearities in the strong-field regime. One challenge in studying and interpreting the dynamics of binary black hole collisions is the intrinsically geometrical nature of spacetime, which in many ways is unlike that of other classical field theories. By exactly recasting Einstein’s equations into a set of coupled nonlinear Maxwell equations closely resembling classical electrodynamics, we visualize the intricate dynamics of gravitational electric and magnetic fields during the inspiral, merger, and ringdown of a binary black hole collision.

Copyright and License

© 2025 American Physical Society.

Acknowledgement

E. R. M. is grateful for discussions with Cynthia Keeler, Mark Scheel, and Anatoly Spitkovsky. S. B. acknowledges support through Caltech’s SURF program. J. W. acknowledges partial support through the David and Barbara Groce graduate fellowship. E. R. M. acknowledges partial support by the National Science Foundation (NSF) under Grants No. PHY-2309210 and No. AST-2307394. E. R. M. acknowledges the use of Delta at the National Center for Supercomputing Applications (NCSA) through allocation PHY210074 from the Advanced Cyberinfrastructure Coordination Ecosystem: Services & Support (ACCESS) program, which is supported by National Science Foundation Grants No. 2138259, No. 2138286, No. 2138307, No. 2137603, and No. 2138296. Additional simulations were performed on the NSF Frontera supercomputer under Grant No. AST21006. E. R. M. also acknowledges support through DOE NERSC supercomputer Perlmutter under Grant No. m4575, which uses resources of the National Energy Research Scientific Computing Center, a DOE Office of Science User Facility supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC02-05CH11231 using NERSC award NP-ERCAP0028480.

Data Availability

The data that support the findings of this Letter are not publicly available upon publication because it is not technically feasible and/or the cost of preparing, depositing, and hosting the data would be prohibitive within the terms of this research project. The data are available from the authors upon reasonable request.

Supplemental Material

The supplemental material provides the detailed implementation of the tetrad calculation as mentioned in the main text. Also, it lists the full expressions of the electric and magnetic fields of both Schwarzschild and Kerr spacetimes.

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Additional details

Created:
September 3, 2025
Modified:
September 3, 2025