MG14 - Talk detail

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Accepted

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Talk

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Abstract

We modify the Galileon theory minimally coupled to general relativity by breaking the Lorentz invariance of the theory. To break the Lorentz invariance, we use the Lagrange multiplier method. The new term in the action implies that the gradient of the Galileon field is time-like, with unit norm. The theory can also be considered as an extension to the mimetic dark matter theory, by adding some derivative self interactions to the action, which keeps the equation of motion at most second order in time derivatives. Also the theory is similar to scalar Einstein-aether theory with healthy scalar aether self interactions. For pressure-less baryonic matter, we show that the universe experiences a decelerated expanding phase followed by a late time acceleration. The cosmological implications of a special coupling between the scalar field and the trace of the energy-momentum tensor are also explored.

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