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A Lagrangian description of interacting dark energy

Nikodem J. Poplawski
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Abstract

We propose a relativistically covariant model of interacting dark energy based on the principle of least action. The cosmological term $Λ$ in the gravitational Lagrangian is a function of the trace of the energy--momentum tensor $T$. We find that the $Λ(T)$ gravity is more general than the Palatini $f(R)$ gravity, and reduces to the latter if we neglect the pressure of matter. We show that recent cosmological data favor a variable cosmological constant and are consistent with the $Λ(T)$ gravity, without knowing the specific function $Λ(T)$.

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Nikodem J. Poplawski. 2006-09-25. A Lagrangian description of interacting dark energy. https://arxiv.org/abs/gr-qc/0608031

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