Renormalization Group-Improved Gravitational Action: A Lagrangian Framework
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914115560144896 |
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| author | Bonanno, Alfio Dialektopoulos, Konstantinos F. Zarikas, Vasilios |
| author_facet | Bonanno, Alfio Dialektopoulos, Konstantinos F. Zarikas, Vasilios |
| contents | A new approach for embedding the renormalization group running of Newton's constant and cosmological constant in gravity is proposed. This approach is based on a gravitational Lagrangian that gives rise to a new class of modified gravity theories where $G$ and $Λ$ are spacetime-dependent functions. The Lagrangian formulation can be interpreted as an effective gravitational action that encapsulates the scale dependence of $G$ and $Λ$, arising from quantum effects in the early universe. We show that the new formalism can be discussed using partially the framework and results of Horndeski modified gravity, excluding the equations of motion of the scalar field. The study explores aspects of this new gravity action. We also analyze an interesting non-singular cosmological solution featuring power-law inflation and we discuss the generation of scalar and tensor perturbations within this framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18883 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Renormalization Group-Improved Gravitational Action: A Lagrangian Framework Bonanno, Alfio Dialektopoulos, Konstantinos F. Zarikas, Vasilios General Relativity and Quantum Cosmology High Energy Physics - Theory A new approach for embedding the renormalization group running of Newton's constant and cosmological constant in gravity is proposed. This approach is based on a gravitational Lagrangian that gives rise to a new class of modified gravity theories where $G$ and $Λ$ are spacetime-dependent functions. The Lagrangian formulation can be interpreted as an effective gravitational action that encapsulates the scale dependence of $G$ and $Λ$, arising from quantum effects in the early universe. We show that the new formalism can be discussed using partially the framework and results of Horndeski modified gravity, excluding the equations of motion of the scalar field. The study explores aspects of this new gravity action. We also analyze an interesting non-singular cosmological solution featuring power-law inflation and we discuss the generation of scalar and tensor perturbations within this framework. |
| title | Renormalization Group-Improved Gravitational Action: A Lagrangian Framework |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.18883 |