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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.04810 |
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| _version_ | 1866914296981618688 |
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| author | Bertini, Nicolas R. Novaes, Marcos H. |
| author_facet | Bertini, Nicolas R. Novaes, Marcos H. |
| contents | Scale-dependent gravity is an extension of general relativity in which the Newton and cosmological constants may vary slightly with the energy scale due to remnant low-energy quantum effects. A fundamental feature of this approach is the scale-setting procedure. In a previous work, a covariant expression for the scale, consistent with conservation laws, was established. Here, we apply the full Will-Nordtvedt version of the parameterized post-Newtonian (PPN) formalism to this framework, assuming that the constants can be expressed as a power series in the scale. We find that a new potential arises at the first post-Newtonian order, which is absent from the standard PPN formalism. This potential modifies the definitions of pressure and internal energy but does not affect center-of-mass orbits and is, therefore, not constrained by Solar System tests. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_04810 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Post-Newtonian expansion of scale-dependent gravity Bertini, Nicolas R. Novaes, Marcos H. General Relativity and Quantum Cosmology Scale-dependent gravity is an extension of general relativity in which the Newton and cosmological constants may vary slightly with the energy scale due to remnant low-energy quantum effects. A fundamental feature of this approach is the scale-setting procedure. In a previous work, a covariant expression for the scale, consistent with conservation laws, was established. Here, we apply the full Will-Nordtvedt version of the parameterized post-Newtonian (PPN) formalism to this framework, assuming that the constants can be expressed as a power series in the scale. We find that a new potential arises at the first post-Newtonian order, which is absent from the standard PPN formalism. This potential modifies the definitions of pressure and internal energy but does not affect center-of-mass orbits and is, therefore, not constrained by Solar System tests. |
| title | Post-Newtonian expansion of scale-dependent gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2508.04810 |