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We study thermodynamics in f(R) gravity with the disformal transformation. The transformation applied to the matter Lagrangian has the form of γμν=A(ϕ,X)gμν+B(ϕ,X)∂μϕ∂νϕ with the assumption of the Minkowski matter metric… Click to show full abstract
We study thermodynamics in f(R) gravity with the disformal transformation. The transformation applied to the matter Lagrangian has the form of γμν=A(ϕ,X)gμν+B(ϕ,X)∂μϕ∂νϕ with the assumption of the Minkowski matter metric γμν=ημν, where ϕ is the disformal scalar and X is the corresponding kinetic term of ϕ. We verify the generalized first and second laws of thermodynamics in this disformal type of f(R) gravity in the Friedmann-Lemaître-Robertson-Walker (FLRW) universe. In addition, we show that the Hubble parameter contains the disformally induced terms, which define the effectively varying equations of state for matter.
Journal Title: Entropy
Year Published: 2019
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