Journal
PHYSICS LETTERS B
Volume 811, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.physletb.2020.135923
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Funding
- Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior - Brasil (CAPES) [001]
- DAAD [57479964]
- DAAD PPP Brasilien [57518956]
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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. (C) 2020 The Authors. Published by Elsevier B.V.
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