Waves of space–time from a collapsing compact object

Abstract

We study the partial time dependent collapse of a spherically symmetric compact object with initial mass M1+M2 and final mass M2 and the waves of space–time emitted during the collapse via back-reaction effects. We obtain exact analytical solutions for the waves of space–time in an example in which M1=M2=(M1+M2)∕2. The wavelengths of the space–time emitted waves during the collapse have the cut (we use natural units c=ħ=1): λ<(2∕b), (1∕b)-being the time scale that describes the decay of the compact object.