Stability of self-dual black holes
arXiv:1006.4164 · doi:10.1016/j.physletb.2010.11.035
Abstract
We study the stability properties of the Cauchy horizon for two different self-dual black hole solutions obtained in a model inspired by Loop Quantum Gravity. The self-dual spacetimes depend on a free dimensionless parameter called a polymeric parameter P. For the first metric the Cauchy horizon is stable for supermassive black holes only if this parameter is sufficiently small. For small black holes, however the stability is easily implemented. The second metric analyzed is not only self-dual but also "form-invariant" under the transformation r -> r*^2/r and r* = 2 m P. We find that this symmetry protects the Cauchy horizon for any value of the polymeric parameter.
8 pages, 2 figures
References in corpus (16)
- Noncommutative geometry inspired charged black holes
- Noncommutative Black Hole Thermodynamics
- Loop Quantum Dynamics of the Schwarzschild Interior
- Non-commutative geometry inspired higher-dimensional charged, black holes
- Charged rotating noncommutative black holes
- Black holes in loop quantum gravity: the complete space-time
- Phenomenological loop quantum geometry of the Schwarzschild black hole
- Loop quantization of spherically symmetric midi-superspaces
- Self-dual Black Holes in LQG: Theory and Phenomenology
- Black hole interior from loop quantum gravity
- Loop quantization of spherically symmetric midi-superspaces : the interior problem
- Spinning Loop Black Holes
- Thermodynamics of regular black hole
- Quantum Cooling Evaporation Process in Regular Black Holes
- Effective Polymer Dynamics of D-Dimensional Black Hole Interiors
- Dynamical Singularity Resolution in Spherically Symmetric Black Hole Formation