NEAR-EXTREMAL KERR-LIKE EXOTIC COMPACT OBJECT IN THE KERR/CFT CORRESPONDENCE IN HIGHER SPIN PERTURBATION

• Main Author: Zhahir Djogama, Muhammad
• Format: Theses
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/81201
• Institution: Institut Teknologi Bandung

The Kerr/CFT correspondence has been established to explore the quantum theory of gravity in the near-horizon geometry of a extreme Kerr black holes. The quantum gravitational corrections on the near-horizon region may manifest in form of a partially reflective membrane that replace the horizon. In such modification, the black holes now can be seen as a horizenless exotic compact object (ECO). In this paper, we consider the properties of Kerr-like ECOs in near-extremal condition using Kerr/CFT correspondence. We study the quasinormal modes and absorption cross-section of scalar field and higher spin perturbation in that background and compare these by using CFT dual computation. The corresponding dual CFT one needs to incorporate finite size- /finite N effects in the dual CFT terminology. We find consistency between properties of the ECOs from gravity sides and from CFT sides. The quasinormal mode spectrum is in line with non-extreme case, where the differences are in the length of the circle, on which the dual CFT lives, and phase shift of the incoming perturbation. The absorption cross-section has oscillatory feature that start to disappear near extremal limit. The particle spin determines the phase shift and conformal weight. We also obtain that the echo time-delay depends on the position of the membrane and extremality of the ECOs.