Thermodynamic and dynamical stability of quantum corrected black holes

最近的结果表明，存在新的黑洞类和其他类型的解决方案，以提高重力的二次曲率项，其纳入呈现理论renormalisable。该项目的一个主要目的是研究这种新的解决方案相对于史瓦西解决方案的相对稳定性，现在已知史瓦西解决方案在低质量阶段变得不稳定，其界限由Lichnerowicz算子的单个负本征值确定。该方法将既从黑洞理论动力学，也通过直接研究准正规模式。

Recent results have shown the existence of new classes of black hole and other types of solution to gravity enhanced by quadratic curvature terms, whose incorporation renders the theory renormalisable. A main aim of the project will be to study the relative stability properties of such new solutions with respect to the Schwarzschild solution, which is now known to become unstable in a low-mass phase with a bound determined by the single negative eigenvalue of the Lichnerowicz operator. The approach will be both from black-hole theormodynamics and also by direct study of quasinormal modes.