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We developed a method to find all asymptotic gravitational charges by considering action contributions that do not alter equations of motion. This approach, using first-order formalism, enables Hamiltonian derivations of dual charges.

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Area of Science:

  • Theoretical Physics
  • Gravitational Physics
  • Mathematical Physics

Background:

  • Asymptotic gravitational charges are crucial for understanding spacetime symmetries and dynamics.
  • Existing methods may not capture all possible contributions to these charges.

Purpose of the Study:

  • To present a comprehensive method for identifying all asymptotic gravitational charges.
  • To explore the role of action contributions in determining these charges.

Main Methods:

  • Consideration of all action contributions that preserve the equations of motion.
  • Utilizing topological terms as examples of such contributions.
  • Employing the first-order formalism for analysis.

Main Results:

  • A systematic method for finding all asymptotic gravitational charges is established.
  • The first-order formalism is identified as optimal for analyzing asymptotic charges.
  • The method facilitates a Hamiltonian derivation of dual charges.

Conclusions:

  • The proposed method offers a complete framework for asymptotic charge analysis.
  • This work provides new insights into the structure of gravitational charges and their derivations.