A spherically symmetric and stationary universe from a weak modification of general relativity

Abstract

It is shown that a weak modification of general relativity, in the linearized approach, renders a spherically symmetric and stationary model of the universe. This is due to the presence of a third mode of polarization in the linearized gravity in which a "curvature" energy term is present. Such an energy can, in principle, be identified as the Dark Energy. The model can also help to a better understanding of the framework of the Einstein-Vlasov system.

Accepted for publication by Europhysics Letters

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• Phase transition and thermodynamic geometry of Einstein-Maxwell-dilaton black holes
• Charged Black Hole Solutions in Gauss-Bonnet-Massive Gravity
• Some exact solutions of F(R) gravity with charged (a)dS black hole interpretation
• Phase transition of charged Black Holes in Brans-Dicke theory through geometrical thermodynamics
• Phase transition of charged black holes in massive gravity through new methods
• Eguchi-Hanson like space-times in F(R) gravity
• Dilatonic Equation of Hydrostatic Equilibrium and Neutron Star Structure
• Asymptotically Lifshitz black hole solutions in F(R) gravity
• Horizons and singularity in Clifton's spherical solution of f(R) vacuum
• Cosmology of Einstein-Vlasov system in a weak modification of general relativity
• Radiation dominated era and the power of general relativity