Comparison of Quasinormal Modes of Black Holes in $f(\mathbb{T})$ and $f(\mathbb{Q})$ Gravity

Abstract

We investigate the quasinormal modes of static and spherically symmetric black holes in vacuum within the framework of $f(\mathbb{Q})=\mathbb{Q}+\alpha {\mathbb{Q}}^2$ gravity, and compare them with those in $f(\mathbb{T})=\mathbb{T}+\alpha {\mathbb{T}}^2$ gravity. Based on the Symmetric Teleparallel Equivalent of General Relativity, we notice that the gravitational effects arise from non-metricity (the covariant derivative of metrics) in $f(\mathbb{Q})$ gravity rather than curvature in $f(R)$ or torsion in $f(\mathbb{T})$. Using the finite difference method and the sixth-order WKB method, we compute the quasinormal modes of massless scalar field and electromagnetic field perturbations. Tables of quasinormal frequencies for various parameter configurations are provided based on the sixth-order WKB method. Our findings reveal the differences in the quasinormal modes of black holes in $f(\mathbb{Q})$ gravity compared to those in $f(R)$ and $f(\mathbb{T})$ gravity. This variation demonstrates the impact of different parameter values, offering insights into the characteristics of $f(\mathbb{Q})$ gravity. These results provide the theoretical groundwork for assessing alternative gravities' viability through gravitational wave data, and aid probably in picking out the alternative gravity theory that best aligns with the empirical reality.

The final version to appear in the CQG. 31 pages, 16 figures, 4 tables

References in corpus (36)

• Teleparallel Gravity: From Theory to Cosmology
• Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
• Modified theories of Gravity: Why, How and What?
• New Early Dark Energy
• Black holes in $f(\mathbb{Q})$ Gravity
• Barrow entropic dark energy: A member of generalized holographic dark energy family
• Mining information from binary black hole mergers: a comparison of estimation methods for complex exponentials in noise
• Comparing Equivalent Gravities: common features and differences
• Unifying of Inflation with Early and Late Dark Energy Epochs in Axion $F(R)$ Gravity
• Early modified gravity in light of the $H_0$ tension and LSS data
• Stability of Reissner-Nordström black hole in de Sitter background under charged scalar perturbation
• The role of the boundary term in $f(Q,B)$ symmetric teleparallel gravity
• Quasinormal modes and second order thermodynamic phase transition for Reissner-Nordström black hole
• Can dark energy be dynamical?
• Can Conformally Coupled Modified Gravity Solve The Hubble Tension?
• Quasinormal modes of black holes. II. Padé summation of the higher-order WKB terms
• A class of static spherically symmetric solutions in $f(Q)$-gravity
• Quasinormal Modes of Black holes in $f(Q)$ gravity
• Complete dark energy scenario in $f(Q)$ gravity
• Quasinormal modes of black holes in f(T) gravity
• Thermodynamics and Shadows of GUP-corrected Black Holes with Topological Defects in Bumblebee Gravity
• Minkowski space in $f(T)$ gravity
• Bouncing cosmology in modified gravity with higher-order curvature terms
• Transition from Regular Black Holes to Wormholes in Covariant Effective Quantum Gravity: Scattering, Quasinormal Modes, and Hawking Radiation
• Quasinormal modes and their anomalous behavior for black holes in $f(R)$ gravity
• Quasinormal modes, thermodynamics and shadow of black holes in Hu-Sawicki f(R) gravity theory
• Fractional dark energy
• Quasinormal Modes and Thermodynamics of Regular Black Holes
• A class of ghost-free theories in symmetric teleparallel geometry
• Constraints on parity and Lorentz violations in gravity from GWTC-3 through a parametrization of modified gravitational wave propagations
• Phantom RN-AdS black holes in noncommutative space
• Scalar quasinormal modes of black holes in Einstein-Yang-Mills gravity
• Scalar fields around a rotating loop quantum gravity black hole: Waveform, quasi-normal modes and superradiance
• Stability of asymptotically de Sitter and anti-de Sitter black holes in $4D$ regularized Einstein-Gauss-Bonnet theory
• Massless Dirac Perturbations of black holes in f(Q) gravity: quasinormal modes and weak deflection angle
• Echoes and quasi-normal modes of perturbations around Schwarzchild traversable wormholes