2025/10/31 by Gutiérrez, F., Kevin Falls, Falls, K. +2 · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Pulsars and Gravitational Waves Research
paper · pdf · doi:10.48550/arxiv.2510.27676
openalex publication_date 2025/10/31 · openalex created_date 2025/11/05 · openalex updated_date 2026/07/28
The detection of gravitational waves has intensified the need for efficient, high-precision modeling of the two-body problem in General Relativity. Current analytical methods, primarily the Post-Minkowskian and Post-Newtonian expansions, are inherently perturbative, while Numerical Relativity remains computationally expensive. In this Letter, we introduce a middle path: an exact renormalization group (RG) equation for classical gravitational systems. After demonstrating that our equation correctly reproduces the Post-Minkowskian expansion, we show how it easily recovers the 1PN two-body action, bypassing the need for complex three-graviton vertex calculations. This establishes the exact RG as a powerful new tool for tackling strong-field dynamics in gravity.