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Viscous fluids and Gauss-bonnet modified gravity. (English) Zbl 1204.83068

Summary: We study effects of cosmic fluids on finite-time future singularities in modified \(f (R,G)\)-gravity, where \(R\) and \(G\) are the Ricci scalar and the Gauss-Bonnet invariant, respectively. We consider the fluid equation of state in the general form, \(\omega = \omega (\rho )\), and we suppose the existence of a bulk viscosity. We investigate quintessence region \((\omega > - 1)\) and phantom region \((\omega < - 1)\) and the possibility to change or avoid the singularities in \(f (R,G)\)-gravity. Finally, we study the inclusion of quantum effects in large curvature regime.

MSC:

83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83F05 Relativistic cosmology
83C75 Space-time singularities, cosmic censorship, etc.
83C15 Exact solutions to problems in general relativity and gravitational theory
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
76E20 Stability and instability of geophysical and astrophysical flows
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