General Relativity and Quantum Cosmology
[Submitted on 13 Aug 2016
(v1)
, last revised 28 Nov 2016 (this version, v2)]
Title: Energy Balance of a Bose Gas in Curved Spacetime
Title: 弯曲时空中的玻色气体能量平衡
Abstract: 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.
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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