Ricci-inverse gravity: a novel alternative gravity, its flaws, and how to cure them
We introduce a novel theory of gravity based on the inverse of the Ricci tensor, that we call the anticurvature tensor. We derive the general equations of motion for any Lagrangian function of the curvature and anticurvature scalars. We then demonstrate a no-go theorem: no Lagrangian that contains t...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
6 November 2020
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| In: |
Physics letters
Year: 2020, Volume: 811 |
| ISSN: | 1873-2445 |
| DOI: | 10.1016/j.physletb.2020.135923 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.physletb.2020.135923 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0370269320307267 
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| Author Notes: | Luca Amendola, Leonardo Giani, Giorgio Laverda |
| Summary: | We introduce a novel theory of gravity based on the inverse of the Ricci tensor, that we call the anticurvature tensor. We derive the general equations of motion for any Lagrangian function of the curvature and anticurvature scalars. We then demonstrate a no-go theorem: no Lagrangian that contains terms linear in any positive or negative power of the anticurvature scalar can drive an evolution from deceleration to acceleration, as required by observations. This effectively rules out many realizations of this theory, as we illustrate in detail in a particular case. Finally, we speculate on how to circumvent the no-go theorem. |
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| Item Description: | Gesehen am 23.02.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1873-2445 |
| DOI: | 10.1016/j.physletb.2020.135923 |