Ghost inflation and de Sitter entropy

Abstract

In the setup of ghost condensation model the generalized second law of black hole thermodynamics can be respected under a radiatively stable assumption that couplings between the field responsible for ghost condensate and matter fields such as those in the Standard Model are suppressed by the Planck scale. Since not only black holes but also cosmology are expected to play important roles towards our better understanding of gravity, we consider a cosmological setup to test the theory of ghost condensation. In particular we shall show that the de Sitter entropy bound proposed by Arkani-Hamed, et.al. is satisfied if ghost inflation happened in the early epoch of our universe and if there remains a tiny positive cosmological constant in the future infinity. We then propose a notion of cosmological Page time after inflation.

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• Hyperbolic field space and swampland conjecture for DBI scalar
• No static black hole hairs in gravitational theories of gravity with broken Lorentz invariance
• On Gravitational Entropy of de Sitter Universe
• Lifshitz scaling, ringing black holes, and superradiance
• Moduli Dynamics in Effective Nested Warped Geometry in Four Dimensions and Some Cosmological Implications
• Positivity vs. Lorentz-violation: an explicit example