7–12 Jul 2024
Aurum, the ‘Gabriele d’Annunzio’ University and ICRANet
Europe/Rome timezone

Initial Conditions and Evolution for Spherically Symmetric Collapse

9 Jul 2024, 18:00
20m
Sala 17 (Aurum)

Sala 17

Aurum

Largo Gardone Riviera, Pescara, Italy
Talk in a parallel session Black hole formation, evolution and the black hole mass gap Black hole formation, evolution and the black hole mass gap

Speaker

Mrs Elly Bayona (National Autonomous University of Mexico)

Description

Spherical collapse in general relativity has been studied with different methods, especially by using a priori given equations of state that describe the collapsing matter as a perfect fluid. We propose an alternative perspective, in which the initial density of the perfect fluid is given as a polynomial function of the radial coordinate that is regular everywhere inside the fluid. We then solve the corresponding differential equations, including the TOV equilibrium condition, using a 4-th order Runge-Kutta method and obtain a consistent model with a central perfect-fluid core surrounded by dust. Then, we analyze numerically the evolution of these initial conditions using the Ollinsphere code and obtain as a result a dynamical process in which the dust implodes into the central core to form a collapsed configuration. The density and pressure of the resulting matter distribution satisfy the standard physical conditions. The model is also consistent with the Buchdahl limit and the speed of sound conditions, even by using realistic values of compact astrophysical objects such as neutron stars.

Primary authors

Mrs Elly Bayona (National Autonomous University of Mexico) Prof. Hernando Quevedo (National Autonomous University of Mexico) Miguel Alcubierre (Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de Mexico)

Presentation materials