Lower dimensional black holes in nonlinear electrodynamics: causal structure and scalar perturbations

Abstract

We study the charged black hole solutions of a 2+1 nonlinear electrodynamical theory with cosmological constant. Considered as a one-parameter group of theories (the exponent of the squared Maxwell tensor) the causal structure of all possible black holes is scrutinized. We analyze the singularity character that each theory delivers together with their horizons and the plausible limitations in the black hole charges. The investigation demonstrates a rich structure of three different groups of theories, according to the qualitative behavior of the singularity, horizons and limitations in the geometric charges. For such groups we study the effect of a scalar field propagating in the fixed black holes spacetime. All geometries analyzed were stable to such linear perturbations, these evolving as usual quasinormal spectra of the black holes that we calculate in different cases.

References in corpus (36)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
• Quintessence and black holes
• Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes
• Quasinormal modes of black holes. The improved semianalytic approach
• Scalar, electromagnetic and Weyl perturbations of BTZ black holes: quasi normal modes
• Charged Rotating Black Hole in Three Spacetime Dimensions
• Choptuik Scaling and Quasinormal Modes in the AdS/CFT Correspondence
• Gravitational quasinormal radiation of higher-dimensional black holes
• A general interior anisotropic solution for a BTZ vacuum in the context of the Minimal Geometric Deformation decoupling approach
• Quantum BTZ black hole
• (2+1)-Dimensional Black Hole with Coulomb-like Field
• A scale dependent black hole in three-dimensional space-time
• Quasinormal Modes of Charged Dilaton Black Holes in 2+1 Dimensions
• Exact Results for the BTZ Black Hole
• Exact solutions of three dimensional black holes: Einstein gravity vs F(R) gravity
• Quasinormal modes of black holes in Einstein-power-Maxwell theory
• Chern-Simons black holes: scalar perturbations, mass and area spectrum and greybody factors
• Charged BTZ-like Black Holes in Higher Dimensions
• Quasinormal Modes of Charged Scalars around Dilaton Black Holes in 2+1 Dimensions: Exact Frequencies
• Quasinormal Modes and Greybody Factors of $f(R)$ gravity minimally coupled to a cloud of strings in $2+1$ Dimensions
• Three-dimensional black holes with quintessence
• Superradiant instability and charged scalar quasinormal modes for $2+1$-dimensional Coulomb-like AdS black holes from nonlinear electrodynamics
• The Anti-de Sitter Gott Universe: A Rotating BTZ Wormhole
• Greybody factor for the BTZ black hole and a 5D black hole
• A study of geodesic motion in a (2+1)-dimensional charged BTZ black hole
• Emission of Fermions from BTZ Black Holes
• The Sagnac effect on a scale-dependent rotating BTZ black hole background
• Scalar quasinormal modes for 2+1-dimensional Coulomb like AdS black holes from non lineal electrodynamics
• Scalar field conformally coupled to a charged BTZ black hole
• Gauss-Bonnet black holes in (2+1) dimensions: Perturbative aspects and entropy features
• Scalar field instabilities in charged BTZ black holes
• Stationary BTZ space-time in Ricci-Inverse and $f(\mathcal{R})$ gravity theories
• New black hole solutions in three-dimensional $f(R)$ gravity
• Quasinormal modes of charged BTZ black holes