Phase transition of charged-AdS black holes and quasinormal modes: A time domain analysis

• Published in: Astrophysics and space science Vol. 362; no. 10; p. 1
• Main Authors: Chabab, M., El Moumni, H., Iraoui, S., Masmar, K.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.10.2017; Springer Nature B.V
• Subjects: Astrobiology; Astronomy; Astrophysics; Astrophysics and Astroparticles; Black holes; Cosmology; Critical point; Damping; Decay rate; Evolution; Hole size; Observations and Techniques; Original Article; Perturbation methods; Phase transitions; Physics; Physics and Astronomy; Space Exploration and Astronautics; Space Sciences (including Extraterrestrial Physics; Time domain analysis; X-ray astronomy; AdS black holes; Phase transitions; Quasinormal modes
• ISSN: 0004-640X; 1572-946X
• DOI: 10.1007/s10509-017-3175-z

In this work, we investigate the time evolution of a massless scalar perturbation around small and large RN-AdS 4 black holes for the purpose of probing the thermodynamic phase transition. We show that below the critical point the scalar perturbation decays faster with increasing of the black hole size, both for small and large black hole phases. Our analysis of the time profile of quasinormal mode reveals a sharp distinction between the behaviors of both phases, providing a reliable tool to probe the black hole phase transition. However at the critical point P = P c , as the black hole size extends, we note that the damping time increases and the perturbation decays faster, the oscillation frequencies raise either in small and large black hole phase. In this case the time evolution approach fails to track the AdS 4 black hole phase.