Quasi normal modes and the area spectrum of a near extremal de Sitter black hole with conformally coupled scalar field

Abstract

In this paper we have studied a black hole in de Sitter space which has a conformally coupled scalar field in the background. This black hole is also known as the $MTZ$ black hole. We have obtained exact values for the quasi normal mode frequencies under massless scalar field perturbations. We have demonstrated that when the black hole is near-extremal, that the wave equation for the massless scalar field simplifies to a Schr$\ddot{o}$dinger type equation with the well known P$\ddot{o}$shler-Teller potential. We have also used 6th order WKB approximation to compute quasinormal mode frequencies to compare with exact values obtained via the P$\ddot{o}$shler-Tell method for comparison. As an application, we have obtained the area spectrum using modified Hods approach and show that it is equally spaced.

12 pages

References in corpus (9)

• The physical interpretation of the spectrum of black hole quasinormal modes
• Quasi-Normal Modes and Gravitational Wave Astronomy
• Area spectrum of rotating black holes via the new interpretation of quasinormal modes
• On the Kerr Quantum Area Spectrum
• Spinning Dilaton Black Holes in 2 +1 Dimensions: Quasi-normal Modes and the Area Spectrum
• Electrically charged black hole with scalar hair
• Area spectrum of the D-dimensional de Sitter spacetime
• Thermodynamical properties of hairy black holes in n spacetimes dimensions
• Area spectrum of near-extremal SdS black holes via the new interpretation of quasinormal modes

Cited by in corpus (6)

• Quasinormal Modes and Bounding Greybody Factors of GUP-corrected Black Holes in Kalb-Ramond Gravity
• Quasinormal modes and greybody factors of symmergent black hole
• Geodesic stability and quasinormal modes of non-commutative Schwarzschild black hole employing Lyapunov exponent
• Quantum Tunneling and Quasinormal Modes in the Spacetime of Alcubierre Warp Drive
• Stability Analysis of Geodesics and Quasinormal Modes of a Dual Stringy Black Hole Via Lyapunov Exponents
• Quasinormal Modes and Greybody Factors of Charged Symmergent Black Hole