Ricci-inverse gravity

• Verfasst von: Amendola, Luca [VerfasserIn]
• Verfasst von: Giani, Leonardo [VerfasserIn]
• Verfasst von: Laverda, Giorgio [VerfasserIn]
• Titel: Ricci-inverse gravity
• Titelzusatz: a novel alternative gravity, its flaws, and how to cure them
• Verf.angabe: Luca Amendola, Leonardo Giani, Giorgio Laverda
• E-Jahr: 2020
• Jahr: 6 November 2020
• Umfang: 8 S.
• Fussnoten: Gesehen am 23.02.2021
• Titel Quelle: Enthalten in: Physics letters / B
• Ort Quelle: Amsterdam : North-Holland Publ., 1967
• Jahr Quelle: 2020
• Band/Heft Quelle: 811(2020) Artikel-Nummer 135923, 8 Seiten
• ISSN Quelle: 1873-2445
• DOI: doi:10.1016/j.physletb.2020.135923
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1749145995

Abstract

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.