Waves of space-time from a collapsing compact object

Jaime Mendoza Hernández; Juan Ignacio Musmarra; Mauricio Bellini

paper

Waves of space-time from a collapsing compact object

arXiv:1910.07297

Abstract

We study the partial time dependent collapse of a spherically symmetric compact object with initial mass $M_{1} + M_{2}$ and final mass $M_{2}$ 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 $M_{1} = M_{2} = (M_{1} + M_{2}) /2$ . 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.

improved version. 10 pages, 4 figures