标题： 广义相对论热流自一阶流体力学 显示英文标题

标题： General relativistic heat flow from first order hydrodynamics

摘要： 在Bemfica、Disconzi和Noronha最近提出的稳定且因果的相对论性流体力学框架下，我们研究了非粘性流体在引力场中的热流方程，这种流体会发生热耗散。 推导过程限定于静态和定态背景。 我们发现，在存在引力的情况下，热流乘以一个红移因子是守恒的。 接着，对于径向热流，当引力由史瓦西黑洞、史瓦西-去对称化黑洞、克尔黑洞和克尔-去对称化黑洞分别提供时，从热传导方程得到温度分布。 最后，还讨论了化学势分布。 显示英文摘要

摘要： Following the recently proposed stable and causal first-order relativistic hydrodynamics by Bemfica, Disconzi, and Noronha, we find the heat flow equation in the presence of gravity for a non-viscous fluid, which suffers heat dissipation. The derivation is confined to static and stationary backgrounds. We find that in the presence of gravity, the heat flux times a redshift factor is conserved. Then for radial heat flow, the temperature profiles are obtained from the heat equation when the gravity is sourced by Schwarzschild, Schwarzschild-dS, Kerr and Kerr-dS black holes, respectively. Consequently, the chemical potential profile is also discussed.