Stability analysis of black holes by the S -deformation method for coupled systems

DOI10.1088/1361-6382/ab0193zbMath1476.83090arXiv1809.00795OpenAlexW2890541747MaRDI QIDQ3380516

Masashi Kimura, Takahiro Tanaka

Publication date: 29 September 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.00795

zbMATH Keywords

perturbation\(S\)-deformation methodblack hole stability analysis

Mathematics Subject Classification ID

Black holes (83C57) Stability in context of PDEs (35B35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Formal methods and deformations in algebraic geometry (14D15)

Related Items (8)

Hawking radiation of scalar particles and fermions from squashed Kaluza–Klein black holes based on a generalized uncertainty principle ⋮ Einstein-Maxwell-scalar black holes: the hot, the cold and the bald ⋮ Axial perturbations of black holes in scalar-tensor gravity: near-horizon behaviour ⋮ Spontaneous scalarisation of charged black holes: coupling dependence and dynamical features ⋮ Thermodynamically stable asymptotically flat hairy black holes with a dilaton potential: the general case ⋮ Study of semiclassical instability of the Schwarzschild AdS black hole in the large D limit ⋮ Master equations and stability of Einstein-Maxwell-scalar black holes ⋮ Razumikhin method to stability of delay coupled systems with hybrid switching diffusions

Cites Work

• Stability analysis of superconducting electroweak vortices
• Stability analysis of the twisted superconducting semilocal strings
• Stability of scalar fields in warped extra dimensions
• On the linear stability of solitons and hairy black holes with a negative cosmological constant: the odd-parity sector
• On the stability of soliton and hairy black hole solutions of 𝔰𝔲(N) Einstein-Yang-Mills theory with a negative cosmological constant
• Stability analysis of squashed Kaluza–Klein black holes with charge
• Catastrophic Instability of Small Lovelock Black Holes
• Master Equations for Gravitational Perturbations of Static Lovelock Black Holes in Higher Dimensions
• Gravitational instability of static spherically symmetric Einstein-Gauss-Bonnet black holes in five and six dimensions
• Gravitational Field of a Particle Falling in a Schwarzschild Geometry Analyzed in Tensor Harmonics
• Robustness of the S -deformation method for black hole stability analysis
• Stability of a Schwarzschild Singularity
• Kaluza-Klein Black Holes with Squashed Horizons
• On the linear stability of solitons and hairy black holes with a negative cosmological constant: the even-parity sector
• A simple test for the stability of a black hole by S -deformation
• Master Equations for Perturbations of Generalised Static Black Holes with Charge in Higher Dimensions
• Gravitational instability of Einstein–Gauss–Bonnet black holes under tensor mode perturbations
• Stability of Higher-Dimensional Schwarzschild Black Holes
• A Master Equation for Gravitational Perturbations of Maximally Symmetric Black Holes in Higher Dimensions
• A nodal theorem for coupled systems of Schrödinger equations and the number of bound states
• Mass and free energy in the thermodynamics of squashed Kaluza–Klein black holes

This page was built for publication: Stability analysis of black holes by the S -deformation method for coupled systems