Ghost condensate and generalized second law

Abstract

Dubovsky and Sibiryakov recently proposed a scenario in which particles of different species propagate with different speeds due to their direct couplings to ghost condensate. It was argued that this extended version of ghost condensate allows a gedanken experiment leading to violation of the generalized second law. However, in the original ghost condensate scenario, difference in propagation speeds is suppressed by M^2/M_{Pl}^2, where M is the order parameter of spontaneous Lorentz breaking and M_{Pl} is the Planck scale. In this case the energy transfer necessary for the gedanken experiment is so slow that the timescale of decrease of entropy, if any, is always longer than the Jeans timescale of ghost condensate. Hence the generalized second law is not violated by the gedanken experiment in the original ghost condensate scenario. This conclusion trivially extends to gauged ghost condensation by taking into account accretion of gauged ghost condensate into a black hole.

17 pages; comment on negative energy added, gauged ghost condensation considered (v2); version accepted for publication in JHEP (v3)

References in corpus (11)

• The Effective Field Theory of Inflation
• Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
• The Effective Theory of Quintessence: the w<-1 Side Unveiled
• Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind
• A Measure of de Sitter Entropy and Eternal Inflation
• Lorentz violation and perpetual motion
• Spontaneous Lorentz Breaking at High Energies
• Accelerating Universe and Cosmological Perturbation in the Ghost Condensate
• Towards a Higgs phase of gravity in string theory
• Spontaneous Lorentz Violation, Negative Energy and the Second Law of Thermodynamics
• Hawking Radiation in the Ghost Condensate is Non-Thermal

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