Local-in-Time Conservative Binary Dynamics at Fifth Post-Minkowskian and First Self-Force Orders.

Area of Science:

• Gravitational physics
• General relativity
• Binary systems dynamics

Background:

• Accurate modeling of binary systems is crucial for understanding gravitational waves.
• Previous calculations lacked precision at higher post-Minkowskian (PM) and self-force (SF) orders.
• Relativistic scattering computations require precise dynamical descriptions.

Purpose of the Study:

• To compute the local-in-time conservative dynamics of nonspinning binary systems.
• To achieve fifth post-Minkowskian (5PM) and first self-force (1SF) accuracy.
• To provide the most accurate description of bound compact object dynamics.

Main Methods:

• Utilized worldline effective field theory techniques.
• Calculated the 5PM/1SF nonlocal-in-time tail-type contribution to the deflection angle.
• Subtracted nonlocal tail terms and reconstructed a local-in-time Hamiltonian.

Main Results:

• Derived the local-in-time conservative dynamics at 5PM and 1SF orders.
• Reconstructed a local-in-time Hamiltonian in isotropic gauge for generic orbits.
• Derived the SF-exact logarithmic-dependent part of the 5PM bound Hamiltonian.

Conclusions:

• The study provides the most accurate description of bound compact object dynamics to date.
• The results advance relativistic scattering computations.
• The methods enable precise modeling of binary system evolution at high orders.