Tomographic Alcock-Paczynski Test with Redshift-Space Correlation Function: Evidence for the Dark Energy Equation of State Parameter w>-1

Understand

The apparent shape of galaxy clustering depends on the adopted cosmology used to convert observed redshift to comoving distance, the $r(z)$ relation, as it changes the line elements along and across the line of sight differently.

• The Alcock-Paczy\'nski (AP) test exploits this property to constrain the expansion history of the universe.
• We present an extensive review of past studies on the AP test.
• We adopt an extended AP test method introduced by Park et al.