Black hole formation and merger, through topology changes of the cosmic apparent horizon, generate an effective dark energy whose equation of state is phantom-like or quintessence-like depending on the sign of the Gauss-Bonnet coupling.
Correspondence between Holographic and Gauss-Bonnet dark energy models
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In the present work we investigate the cosmological implications of holographic dark energy density in the Gauss-Bonnet framework. By formulating independently the two cosmological scenarios, and by enforcing their simultaneous validity, we show that there is a correspondence between the holographic dark energy scenario in flat universe and the phantom dark energy model in the framework of Gauss-Bonnet theory with a potential. This correspondence leads consistently to an accelerating universe. However, in general one has not full freedom of constructing independently the two cosmological scenarios. Specific constraints must be imposed on the coupling with gravity and on the potential.
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Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach
Black hole formation and merger, through topology changes of the cosmic apparent horizon, generate an effective dark energy whose equation of state is phantom-like or quintessence-like depending on the sign of the Gauss-Bonnet coupling.