Quasinormal modes and their anomalous behavior for black holes in $f(R)$ gravity

Abstract

We study the propagation of scalar fields in the background of an asymptotically de-Sitter black hole solution in $f(R)$ gravity. The aim of this work is to analyze in modified theories of gravity the existence of an anomalous decay rate of the quasinormal modes (QNMs) of a massive scalar field which was recently reported in Schwarzschild black holes backgrounds, in which the longest-lived modes are the ones with higher angular number, for a scalar field mass smaller than a critical value, while that beyond this value the behavior is inverted. We study the QNMs for various overtone numbers and they depend on a parameter $\beta$ which appears in the metric and characterizes the $f(R)$ gravity. For small $\beta$, i.e small deviations from the Schwarzschild-dS black hole the anomalous behaviour in the QNMs is present for the photon sphere modes, and the critical value of the mass of the scalar field depends on the parameter $\beta$ while for large $\beta$, i.e large deviations the anomalous behaviour and the critical mass does not appear. Also, the critical mass of the scalar field increases when the overtone number increases until the $f(R)$ gravity parameter $\beta$ approaches the near extremal limit at which the critical mass of the scalar field does not depend anymore on the overtone number. The imaginary part of the quasinormal frequencies is always negative leading to a stable propagation of the scalar fields in this background.

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References in corpus (74)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• f(R) theories
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Quasinormal modes of black holes and black branes
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Quasi-Normal Modes of Stars and Black Holes
• Quasinormal modes of black holes: from astrophysics to string theory
• Curvature Quintessence
• Can the dark energy equation-of-state parameter w be less than -1?
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
• Conditions for the cosmological viability of f(R) dark energy models
• 1/R gravity and Scalar-Tensor Gravity
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Curvature quintessence matched with observational data
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Instability of the massive Klein-Gordon field on the Kerr spacetime
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
• Modified gravity and its reconstruction from the universe expansion history
• Quasinormal modes of black holes. The improved semianalytic approach
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• The pattern of growth in viable f(R) cosmologies
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• The gravity lagrangian according to solar system experiments
• Quasinormal modes and Strong Cosmic Censorship
• Thermodynamic Behavior of Field Equations for f(R) Gravity
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Black Holes in f(R) theories
• The stability of modified gravity models
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• Quasi-normal modes of Schwarzschild-de Sitter black holes
• Testing Gravity Against Early Time Integrated Sachs-Wolfe Effect
• Support for the thermal origin of the Pioneer anomaly
• Static Spherically Symmetric Solutions in F(R) Gravity
• Static spherically symmetric perfect fluid solutions in $f(R)$ theories of gravity
• Cosmological Constraints on f(R) Acceleration Models
• The Force of Gravity from a Lagrangian containing Inverse Powers of the Ricci Scalar
• Decay of massive scalar field in a Schwarzschild background
• Cosmological perfect-fluids in f(R) gravity
• Stability and quasinormal modes of the massive scalar field around Kerr black holes
• Kerr Black Holes are Not Unique to General Relativity
• Black hole solutions in F(R) gravity with conformal anomaly
• Quasinormal modes of D-dimensional de Sitter spacetime
• Quasinormal modes of black holes and Borel summation
• Some exact solutions of F(R) gravity with charged (a)dS black hole interpretation
• Can higher curvature corrections cure the singularity problem in f(R) gravity?
• Quasinormal modes in pure de sitter spacetimes
• Modified gravity and the stability of de Sitter space
• Quasi-normal modes of black holes in Horndeski gravity
• High overtones of Schwarzschild-de-Sitter quasinormal spectrum
• Charged Fermions and Strong Cosmic Censorship
• f(R) Gravity: From the Pioneer Anomaly to the Cosmic Acceleration
• Exact solutions of three dimensional black holes: Einstein gravity vs F(R) gravity
• Spherically symmetric black holes in $f(R)$ gravity: Is geometric scalar hair supported ?
• Massive relic gravitational waves from f(R) theories of gravity: production and potential detection
• Massive Dirac quasinormal modes in Schwarzschild-dS black holes: anomalous decay rate and fine structure
• Superradiant Instability of Near Extremal and Extremal Four-Dimensional Charged Hairy Black Hole in anti-de Sitter Spacetime
• Primordial production of massive relic gravitational waves from a weak modification of General Relativity
• Critical behavior of non-hydrodynamic quasinormal modes in a strongly coupled plasma
• Anomalous decay rate of quasinormal modes in Reissner-Nordström black holes
• f(R) gravity constraints from gravitational waves
• A no-hair theorem for spherically symmetric black holes in $R^2$ gravity
• Anomalous decay rate of quasinormal modes
• Radiating Kerr-Newman black hole in $f(R)$ gravity
• Perturbative and nonperturbative fermionic quasinormal modes of Einstein-Gauss-Bonnet-AdS black holes
• Instability of Reissner-Nordström-AdS black hole under perturbations of a scalar field coupled to Einstein tensor
• Quasinormal modes of three-dimensional rotating Hořava AdS black hole and the approach to thermal equilibrium
• Vacuum Solution of a Linear Red-Shift Based Correction in $f(R)$ Gravity

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