PULSATIONS OF SPHERICALLY SYMMETRICAL SYSTEMS IN GENERAL-RELATIVITY

The pulsation equations for spherically symmetric black hole and solit on solutions are brought into a standard form, The formulas apply to a large class of field theoretical matter models and can easily be work ed out for specific examples. The close relation to the energy princip le in terms of the second variation of the Schwarzschild mass is also established. The use of the general expressions is illustrated for the Einstein-Yang-Mills and the Einstein-Skyrme system.