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New Framework for Classical Double Copies.

Brian Kent1, Aaron Zimmerman1

  • 1University of Texas at Austin, Weinberg Institute, Austin, Texas 78712, USA.

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|October 19, 2025
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Summary
This summary is machine-generated.

This study introduces a new framework for understanding classical double copies, linking gauge and gravitational theories. It presents a method using Killing vectors to generate new double copies, extending their application to general spacetimes.

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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory
  • General Relativity

Background:

  • The double copy relates gauge theories and gravity, applicable to scattering amplitudes and classical results.
  • Existing classical double copies are limited to specific, algebraically special spacetimes.
  • Extending double copies to algebraically general spacetimes with nontrivial dynamics is an open question.

Purpose of the Study:

  • To develop a novel framework for understanding classical double copies at the metric level.
  • To organize known examples and explore properties of classical double copies.
  • To propose a procedure for generating new classical double copies applicable to general spacetimes.

Main Methods:

  • Utilized Killing vectors as gauge fields on spacetime.
  • Proposed a procedure for generating new classical double copies based on metric properties.
  • Provided a flat-space single copy for the Kasner metric as a proof of concept.

Main Results:

  • Demonstrated a novel framework for classical double copies at the metric level.
  • Generated a flat-space single copy for the algebraically general Kasner metric.
  • Showcased the Kasner metric as a type-I Weyl double copy on flat spacetime, confirming theoretical expectations.

Conclusions:

  • The proposed framework successfully organizes known double copies and explores their properties.
  • The method using Killing vectors provides a procedure for generating new classical double copies.
  • This work offers a promising path for extending exact double copies to general, physically relevant spacetimes.