Comment to ''On Anisotropic Dark Energy Stars''

TL;DR

This paper critiques a previous work on anisotropic dark energy stars, highlighting errors in the application of equations of state and their implications for the validity of the original conclusions.

Contribution

It clarifies the misuse of equations of state in the prior paper, correcting the parameter restrictions and invalidating some of its criticisms.

Findings

Incorrect intervals for the parameter ω due to misuse of equations of state

Invalidates previous criticisms based on flawed assumptions

Highlights importance of proper pressure anisotropy treatment

Abstract

The authors of the paper ''On Anisotropic Dark Energy Stars'', arXiv:0803.2508 [gr-qc], consider the equations of state $p_r=\omega \rho$ and $p_t=\omega \rho$, ignoring the fact that this implies an isotropic pressure, which places strict restrictions on the values of $\omega$. The authors then argue for an anisotropic pressure fluid throughout their work, and apply these equations of state to the energy conditions, consequently obtaining incorrect intervals for the parameter $\omega$. This procedure invalidates their criticisms on the following paper: Class.Quant.Grav. 23, 1525 (2006).