Non-minimal Gravitational Coupling of Phantom and Big Rip Singularity

Abstract

We consider a non-minimal coupling of a perfect fluid matter system with geometry, which the coupling function is taken to be an arbitrary function of the Ricci scalar. Due to such a coupling, the matter stress tensor is no longer conserved and there is an energy transfer between the two components. By solving the conservation equation and applying the second law of thermodynamics, we show that direction of the energy transfer depends on the equation of state of the matter fluid. In particular, a phantom fluid should loose energy with expansion of the universe. This energy reduction can avoid the universe to end with a cosmic doomsday.

8 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1205.0328

References in corpus (9)

• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Extra force in $f(R)$ modified theories of gravity
• f(R,L_m) gravity
• From inflation to dark energy in the non-minimal modified gravity
• Reheating via a generalized non-minimal coupling of curvature to matter
• Dynamics of interacting phantom scalar field dark energy in Loop Quantum Cosmology
• R^n gravity and the chameleon

Cited by in corpus (6)

• Generalized curvature-matter couplings in modified gravity
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• Recovering a MOND-like acceleration law in mimetic gravity
• On the consistency of non-minimally coupled f(R) gravity
• Cosmic strings in $f\left(R,L_m\right)$ gravity
• The study of Kantowski-Sachs perfect fluid cosmological model in modified gravity