Absorption cross section in the topologically massive gravity at the critical point

TL;DR

This paper investigates scalar field scattering in warped AdS3 black holes at the critical point, finding that deformation effects do not influence the absorption cross section, which aligns with the BTZ black hole in a rotating frame.

Contribution

It demonstrates that at the critical point, the warped deformation does not affect the absorption cross section, clarifying the role of geometry versus rotation effects.

Findings

Absorption cross section exceeds the area in warped AdS3 backgrounds.

Deformation effects are absent at the critical point, matching BTZ black hole behavior.

Rotation influences the scattering dynamics without warp deformation effects.

Abstract

The absorption cross section for the the warped AdS$_3$ black hole background shows that it is larger than the area even if the s-wave limit is considered. It raises some question whether the deviation from the areal cross section is due to the warped configuration of the geometry or the rotating coordinate system, where these two effects are mixed up in the warped AdS$_3$ black hole. So, we study the low-frequency scattering dynamics of propagating scalar fields under the warped AdS$_3$ background at the critical point which reduces to the BTZ black hole in the rotating frame without the warped factor, which shows that the deformation effect at the critical point does not appear.