On the dynamics of relativistic multi-layer spherical shell systems

Merse E Gáspár (1) , István Rácz (1)

1 RMKI

The relativistic time evolution of multi-layer spherically symmetric shell systems--consisting infinitely thin shells separated by vacuum regions--is examined. Besides providing a brief review of the basics of the formalism, in particular, the equations of motion and the criteria singling out the allowed initial conditions are also discussed. Whenever two shells collide the evolution is continued with the assumption that the collision is either totally transparent or totally inelastic. The time evolution of various multi-layer shell systems--comprised by large number of shells mimicing thereby the behavior of a thick shell making it possible to study the formation of acoustic singularity--is analyzed numerically and compared in certain cases to the corresponding Newtonian time evolution. The analytic setup is chosen such that the developed code is capable to follow the evolution even inside the black hole region. This, in particular, allowed us to investigate the mass inflation phenomenon in the chosen framework of multi-layer spherically symmetric shell systems.

Mots clés: Physical Sciences

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

Merse E Gáspár, István Rácz. On the dynamics of relativistic multi-layer spherical shell systems. Classical and Quantum Gravity, 2011, 28 (8), pp.85005. ⟨10.1088/0264-9381/28/8/085005⟩. ⟨hal-00690080⟩