Ocatavio Guerrero Qualifying Exam

Abstract: We investigate the stability of Zurek-Page models against radial perturbations. These are singular solutions of the Tolman–Oppenheimer–Volkoff equations with a negative effective mass at the origin. They were introduced to study a black hole in thermal equilibrium with surrounding radiation. Our study is based on the formalism developed by K. Kokkotas and J. Rouff to investigate radial perturbations of relativistic stellar models