Effects of Chern-Simons Corrections on Conserved Quantities of Relativistic Fluid

TL;DR

This paper investigates how Chern-Simons modifications in Maxwell and gravity theories affect the conservation laws in relativistic fluid flow, revealing that these corrections generally break certain conserved quantities.

Contribution

It provides a detailed analysis of the impact of Chern-Simons corrections on conserved quantities in relativistic fluids, highlighting the loss of conservation laws due to these modifications.

Findings

Chern-Simons corrections break some conservation laws in relativistic fluid flow.

The effects are analyzed within both modified Maxwell and gravity theories.

Conservation of certain quantities is generally not maintained under Chern-Simons modifications.

Abstract

We consider relativistic fluid flow under Chern-Simons modified Maxwell theory and under Chern-Simons modified gravity theory. We take account of the effects of Chern-Simons corrections on the quantities of fluid flow that are conserved without the Chern-Simons corrections. We find that the conservations of several quantities are generally broken by the Chern-Simons corrections.