Volume 116, Number 4, November 2016
|Number of page(s)||7|
|Published online||04 January 2017|
Dynamical probe of thermodynamical properties in three-dimensional hairy AdS black holes
1 College of Physical Science and Technology, Yangzhou University - Yangzhou, 225009, China
2 School of Physics, Huazhong University of Science and Technology - Wuhan, 430074, China
3 Center of High Energy Physics, Peking University - Beijing, 100871, China
4 Department of Physics and Astronomy, Shanghai Jiao Tong University - Shanghai 200240, China
Received: 31 July 2016
Accepted: 19 December 2016
We study separatively the quasinormal modes (QNM) of electromagnetic perturbations around three-dimensional anti-de Sitter (AdS) black holes in Jordan and Einstein frames, which are related by the conformal transformations and a redefinition of a scalar field. We find that, in the Jordan frame, the imaginary parts of QNM frequencies can reflect the thermodynamical stabilities of hairy black holes, including the possible phase transition between the hairy black hole and BTZ black hole, disclosed by examining the corresponding free energies. Similar results are also uncovered in the Einstein frame. The obtained results further support that the QNM can be a dynamic probe of the thermodynamic properties in black holes.
PACS: 04.70.-s – Physics of black holes / 04.25.D- – Numerical relativity / 04.50.Kd – Modified theories of gravity
© EPLA, 2016
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