Novel Approach to Binary Dynamics: Application to the Fifth Post-Newtonian Level

Area of Science:

• Gravitational physics
• General relativity
• Astrophysics

Background:

• Binary systems are crucial for understanding gravitational phenomena.
• Accurate modeling of their dynamics is essential for gravitational wave astronomy.
• Existing methods have limitations in precision and scope.

Purpose of the Study:

• To introduce a novel methodology for deriving conservative dynamics of binary systems.
• To combine multiple theoretical formalisms for enhanced accuracy.
• To provide a framework for higher-order perturbation calculations.

Main Methods:

• Integration of post-Newtonian, post-Minkowskian, multipolar-post-Minkowskian, gravitational self-force, and effective one-body formalisms.
• Application to the derivation of fifth post-Newtonian dynamics.
• Verification against established results at the third post-Minkowskian level.

Main Results:

• Successful derivation of conservative dynamics for gravitationally interacting binary systems.
• Independent confirmation of recent results at the third post-Minkowskian order.
• Established checks for future fourth post-Minkowskian calculations.

Conclusions:

• The new methodology offers a robust framework for calculating binary system dynamics.
• The approach is extendable to higher orders of perturbation theory.
• This work advances the precision of gravitational wave modeling.