New solutions of charged regular black holes and their stability

Abstract

We construct new regular black hole solutions by matching the de Sitter solution and the Reissner-Nordstrom solution with a timelike thin shell. The thin shell is assumed to have mass but no pressure and obeys an equation of motion derived from Israel's junction conditions. By investigating the equation of motion for the shell, we obtain stationary solutions of charged regular black holes and examine stability of the solutions. Stationary solutions are found in limited ranges of 0.87L < m < 1.99L, and they are stable against small radial displacement of the shell with fixed values of m, M, and Q if M>0, where L is the de Sitter horizon radius, m the black hole mass, M the proper mass of the shell and Q the black hole charge. All the solutions obtained are highly charged in the sense of Q/m >0.866. By taking the massless limit of the shell in the present regular black hole solutions, we obtain the charged regular black hole with a massless shell obtained by Lemos and Zanchin and investigate stability of the solutions. It is found that Lemos and Zanchin's regular black hole solutions given by the massless limit of the present regular black hole solutions permit stable solutions, which are obtained by the limit of M -> 0.

11 pages, 8 figures, to be published in Physical Review D

References in corpus (4)

• Regular black holes and black universes
• Regular black holes: Electrically charged solutions, Reissner-Nordström outside a de Sitter core
• Collapsing and static thin massive charged dust shells in a Reissner-Nordström black hole background in higher dimensions
• Charged shells in Lovelock gravity: Hamiltonian treatment and physical implications

Cited by in corpus (28)

• Notes on non-singular models of black holes
• Bardeen Regular Black Hole With an Electric Source
• Regular nonminimal magnetic black holes in spacetimes with a cosmological constant
• Stability of magnetic black holes in general nonlinear electrodynamics
• Analysis of a regular black hole in Verlinde's gravity
• Geodesic Structure of the Quantum-Corrected Schwarzschild Black Hole Surrounded by Quintessence
• Implications of a Simpson-Visser solution in Verlinde's framework
• Regular black holes: Guilfoyle's electrically charged solutions with a perfect fluid phantom core
• Charge screening by thin-shells in a 2+1-dimensional regular black hole
• Light deflection and gravitational lensing effects inspired by loop quantum gravity
• Slowly rotating regular black holes with a charged thin shell
• Black-bounce solutions in a k-essence theory under the effects of bumblebee gravity
• Electrically charged spherical matter shells in higher dimensions: Entropy, thermodynamic stability, and the black hole limit
• Regular Kiselev black hole with a de Sitter core
• Quantum vacuum effects on the formation of black holes
• New regular black hole solutions and other electrically charged compact objects with a de Sitter core and a matter layer
• Stability of regular black holes and other compact objects with a charged de Sitter core and a surface matter layer
• Regular Charged Black Holes, Quasilocal Energy and Energy Conditions
• Stability of electrically charged stars, regular black holes, quasiblack holes, and quasinonblack holes
• Kerr/CFT correspondence in a 4D extremal rotating regular black hole with a non-linear magnetic monopole
• Regularization of the Reissner-Nordström black hole
• Nonminimal dyons with regular gravitational, electric and axion fields
• Three dimensional black bounces in $f(R)$ gravity
• Light propagation and quasinormal modes of a topologically charged Schwarzschild-Klinkhamer wormhole
• LQG inspired spacetimes as solutions of the Einstein equations
• Sources of matter for wormholes in a k-essence theory
• Remark on near-horizon geometry of extreme regular black holes
• Internal structure of Hayward black holes