Dark Energy in f(R) Gravity - Indiana University

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Dark energy–momentum tensor • Non-conservation of EM tensors for matter and DE separately • Total EM for matter + DE conserved interaction
Dark energy–momentum tensor • Non-conservation of EM tensors for matter and DE separately • Total EM for matter + DE conserved interaction Assume homogeneous and isotropic universe Continuity equation with interaction term Q: Interaction rate Γ=Q/ε Λ Nondimensional rate γ=Γ/H NJP, Phys. Rev. D 74, 084032 (2006)
Page 1 and 2: Dark Energy in f(R) Gravity Nikodem
Page 3 and 4: Dark energy Hypothetical form of en
Page 5 and 6: Variable cosmological constant Cosm
Page 7 and 8: f(R) gravity • Lagrangian - funct
Page 9 and 10: Variational principles I • f(R) g
Page 11 and 12: Variational Principles: Metric METR
Page 13 and 14: Jordan frame Assume action for matt
Page 15 and 16: Helmholtz Lagrangian The action in
Page 17 and 18: Einstein frame Conformal transforma
Page 19: Equations of field and motion Varia
Page 23 and 24: Cosmological term Palatini f(R) gra
Page 25 and 26: R-1/R gravity 52 2 10 m The simples
Page 27 and 28: R-1/R gravity The simplest f(R) tha
Page 29 and 30: Compatibility with observations II
Page 31 and 32: Conclusions • f(R) gravity provid
Page 33 and 34: Conservation of matter Bianchi iden
Page 35: More cosmological parameters Decele

Dark Energy in f(R) Gravity - Indiana University

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