General Relativity and Quantum Cosmology
[Submitted on 13 Aug 2016
(this version)
, latest version 28 Nov 2016 (v2)
]
Title: Energy Balance of a Bose Gas in Curved Space-times
Title: 弯曲时空中的玻色气体能量平衡
Abstract: In the present work, we obtain a general energy balance equation for a boson gas in curved space-times that can be interpreted as the generalization of the corresponding first law of thermodynamics for the system. By using a 3+1 foliation of the space-time and performing a Madelung transformation, we rewrite the Klein-Gordon-Maxwell equations in a general curved space-time into its hydrodynamic version, where we can identify the different energy contributions of the system and separate them into the gravitational, quantum, electromagnetic and kinetic ones.
Submission history
From: Ana Avilez-Lopez [view email][v1] Sat, 13 Aug 2016 05:54:43 UTC (14 KB)
[v2] Mon, 28 Nov 2016 04:05:27 UTC (14 KB)
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