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Paper detail

Energy Balance of a Bose Gas in Curved Spacetime

We derive a general energy balance equation for a self-interacting boson gas at vanishing temperature in a curved spacetime. This represents a first step towards a formulation of the first law of thermodynamics for a scalar field in general relativity. By using a $3+1$ foliation of the spacetime and performing a Madelung transformation, we rewrite the Klein-Gordon-Maxwell equations in a general curved spacetime into its hydrodynamic version where we can identify the different energy contributions of the system and separate them into kinetic, quantum, electromagnetic, and gravitational.

preprint2016arXivOpen access
Tonatiuh MatosAna AvilezTula BernalPierre-Henri Chavanis
gr-qc
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Tonatiuh MatosAna AvilezTula BernalPierre-Henri Chavanis

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