Renormalisation Group approach to General Relativity
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914606044151808 |
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| author | Gutiérrez, F. Falls, K. Codello, A. |
| author_facet | Gutiérrez, F. Falls, K. Codello, A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_27676 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Renormalisation Group approach to General Relativity Gutiérrez, F. Falls, K. Codello, A. General Relativity and Quantum Cosmology High Energy Physics - Theory 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. |
| title | Renormalisation Group approach to General Relativity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.27676 |