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Sources in the Weyl Double Copy.

Damien A Easson1, Tucker Manton1, Andrew Svesko2

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This study extends the Weyl double copy to include gravitational sources, linking general relativity solutions to gauge theories. This new method offers fresh insights into black hole solutions and electrovac spacetimes.

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Area of Science:

  • Theoretical Physics
  • Gravitational Theory
  • Gauge Theory

Background:

  • The Weyl double copy currently connects vacuum solutions in general relativity and gauge theory.
  • Its application has been limited to spacetimes without gravitational sources.

Purpose of the Study:

  • To extend the Weyl double copy framework to incorporate gravitational sources.
  • To provide a systematic method for treating sources in the double copy construction.

Main Methods:

  • Development of an extended Weyl double copy procedure.
  • Application of the extended method to specific spacetimes.

Main Results:

  • A systematic procedure for the Weyl double copy with gravitational sources is proposed.
  • The extended Weyl double copy provides a new perspective on the Kerr-Newman black hole.
  • It also sheds light on the general class of Petrov type D electrovac spacetimes.

Conclusions:

  • The extended Weyl double copy successfully incorporates gravitational sources.
  • This generalization broadens the applicability of the double copy mechanism.
  • It offers novel insights into the structure of gravitational and gauge theories.