Rotating black holes and exotic compact objects in the Kerr/CFT correspondence within Rastall gravity

Abstract

Quantum gravitational effects on the near horizon may alter the black hole's horizon drastically to be partially reflective, portrayed by a quantum membrane. With this modification, the object can be considered as an exotic compact object (ECO). Quantum effects on the strong gravitational regime may also lead to a non-conserved matter tensor that can be described phenomenologically using Rastall gravity. In this work, we study the properties of black holes and ECOs within Rastall gravity using Kerr/CFT correspondence. We systematically investigate the properties of the most general rotating black hole solutions in Rastall gravity, i.e., Kerr-Newman-NUT-Kiselev, and reveal its hidden conformal symmetry. The Cardy microscopic entropy formula and absorption cross-sections from 2D CFT are computed and then matched with gravity calculation. We also extend the dual CFT analysis for studying the properties of ECOs. The existence of the quantum membrane leads to the appearance of the gravitational echoes that is manifested as an oscillatory feature on the absorption cross-section. We compute the absorption cross-section and quasi-normal modes in the dual CFT picture. We also compare the absorption cross-section of ECOs to that of black holes. We find that the Rastall coupling constant plays a significant role for both objects. We also obtain that the echo time delay depends explicitly on the Rastall coupling constant. This coupling constant may play a role to recover the correction on time delay that is believed as a non-linear physics effect. Henceforth, the signature of the Rastall gravity can be probed from the time-delay observation.

16 pages, 5 figures, published in Phys. Dark Universe

References in corpus (14)

• Echoes of ECOs: gravitational-wave signatures of exotic compact objects and of quantum corrections at the horizon scale
• CFT Duals for Extreme Black Holes
• Einstein and Rastall Theories of Gravitation in Comparison
• Kerr-AdS/CFT Correspondence in Diverse Dimensions
• Kerr/CFT Correspondence in the Low Energy Limit of Heterotic String Theory
• A connection between Rastall-type and f(R, T) gravities
• Hidden conformal symmetry of rotating charged black holes
• Hidden Conformal Symmetry of Kerr-Bolt Spacetimes
• Hidden conformal symmetry of extreme and non-extreme Einstein-Maxwell-Dilaton-Axion black holes
• Holographic description of Kerr-Bolt-AdS-dS Spacetimes
• Holographic Dual of Linear Dilaton Black Hole in Einstein-Maxwell-Dilaton-Axion Gravity
• Hidden Conformal Symmetry of Extremal Kerr-Bolt Spacetimes
• Deformed conformal symmetry of Kerr-Newman-NUT-AdS black holes
• Hidden conformal symmetry of extremal Kaluza-Klein black hole in four dimensions

Cited by in corpus (5)

• Dual CFT on Dyonic Kerr-Sen black hole and its gauged and ultraspinning counterparts
• Can electromagnetic charge inhabit in Rastall gravity?
• Rotational mass of anisotropic neutron stars within Rastall gravity
• Rotating neutron stars with chaotic magnetic fields in general relativity and Rastall gravity
• Near-extremal Kerr-like ECO in the Kerr/CFT Correspondence in Higher Spin Perturbations