Emulating $\Lambda$CDM-like expansion on the Phantom brane

Understand

In [Schmidt PRD 80 123003 (2009)], the author suggested that dynamical dark energy (DDE) propagating on the phantom brane could mimick $\Lambda$CDM.

• Schmidt went on to derive a phenomenological expression for $\rho_{\rm DE}$ which could achieve this.
• We demonstrate that while Schmidt's central premise is correct, the expression for $\rho_{\rm DE}$ derived in Schmidt (2009) is flawed.
• We derive the correct expression for $\rho_{\rm DE}$ which leads to $\Lambda$CDM-like expansion on the phantom brane.