# Gravitational Contribution to the Heat Flux in a Simple Dilute Fluid: An Approach Based on General Relativistic Kinetic Theory to First Order in the Gradients

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## Abstract

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## 1. Introduction

## 2. Basic Formalism: Relativistic Fluids

#### 2.1. Basic Elements of General Relativity and the Schwarzschild Metric

#### 2.2. Boltzmann’s General Relativistic Equation

## 3. The Field Contribution to ${f}^{\left(1\right)}$

## 4. Heat Flux Calculation with a Spherically Symmetric Static Metric

## 5. Conclusions

## Acknowledgments

## Author Contributions

## Conflicts of Interest

## Appendix A

**$\Gamma $**is:

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**MDPI and ACS Style**

Brun-Battistini, D.; Sandoval-Villalbazo, A.; Garcia-Perciante, A.L.
Gravitational Contribution to the Heat Flux in a Simple Dilute Fluid: An Approach Based on General Relativistic Kinetic Theory to First Order in the Gradients. *Entropy* **2017**, *19*, 537.
https://doi.org/10.3390/e19110537

**AMA Style**

Brun-Battistini D, Sandoval-Villalbazo A, Garcia-Perciante AL.
Gravitational Contribution to the Heat Flux in a Simple Dilute Fluid: An Approach Based on General Relativistic Kinetic Theory to First Order in the Gradients. *Entropy*. 2017; 19(11):537.
https://doi.org/10.3390/e19110537

**Chicago/Turabian Style**

Brun-Battistini, Dominique, Alfredo Sandoval-Villalbazo, and Ana Laura Garcia-Perciante.
2017. "Gravitational Contribution to the Heat Flux in a Simple Dilute Fluid: An Approach Based on General Relativistic Kinetic Theory to First Order in the Gradients" *Entropy* 19, no. 11: 537.
https://doi.org/10.3390/e19110537