Quasinormal Modes in Noncommutative Schwarzschild black holes

Abstract

We investigate the quasinormal modes of a massless scalar field in a Schwarzschild black hole, which is deformed due to noncommutative corrections. We introduce the deformed Schwarzschild black hole solution, which depends on the noncommutative parameter $\Theta$. We then extract the master equation as a Schrödinger-like equation, giving the explicit expression of the effective potential which is modified due to the noncommutative corrections. After that, we solve the master equation numerically. The significance of these results is twofold. Firstly, our results can be related to the detection of gravitational waves by the near future gravitational wave detectors, such as LISA, which will have a significantly increased accuracy. In particular, these observed gravitational waves produced by binary strong gravitational systems have oscillating modes which can provide valuable information. Secondly, our results can serve as an additional tool to test the predictions of GR, as well as to examine the possible detection of this kind of gravitational corrections.

15 pages, 7 figures

References in corpus (15)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• A Gravity Theory on Noncommutative Spaces
• Gravitational Test Beyond the First Post-Newtonian Order with the Shadow of the M87 Black Hole
• Quantum Oppenheimer-Snyder and Swiss Cheese models
• Symmetry, Gravity and Noncommutativity
• Shadow, lensing, quasinormal modes, greybody bounds and neutrino propagation by dyonic ModMax black holes
• Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity
• Constraints on Barrow entropy from M87* and S2 star observations
• Constraining non-commutative space-time from GW150914
• Twist Symmetry and Gauge Invariance
• Deformed Reissner--Nordstrom solutions in noncommutative gravity
• Gravitational perturbations of a Kerr black hole in $f(R)$ gravity
• Towards rotating non-circular black holes in string-inspired gravity
• Exact solutions of noncommutative vacuum Einstein field equations and plane-fronted gravitational waves

Cited by in corpus (14)

• Investigating the Connection between Generalized Uncertainty Principle and Asymptotically Safe Gravity in Black Hole Signatures through Shadow and Quasinormal Modes
• Observational constraints on Yukawa cosmology and connection with black hole shadows
• Exploring Non--commutativity as a Perturbation in the Schwarzschild Black Hole: Quasinormal Modes, Scattering, and Shadows
• Effects of gravity rainbow on scalar bosonic and oscillator fields in Bonnor-Melvin space-time with a cosmological constant
• Higher-dimensional quantum Oppenheimer-Snyder model
• A Non-Commutative Kalb-Ramond Black Hole
• Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole
• Thermodynamics for regular black holes as intermediate thermodynamic states and quasinormal frequencies
• Non-commutativity in Hayward spacetime
• Quasinormal modes of charged BTZ black holes
• Noncommutative quasinormal modes of Schwarzschild black hole
• Corrections to Kerr-Newman black hole from Noncommutative Einstein-Maxwell equation
• Lyapunov exponents and geodesic stability of Schwarzschild black hole in the non-commutative gauge theory of gravity
• Imprints of non-commutativity on charged black holes