# Gerhard Rein: Can highly relativistic, self-gravitating matter distributions be stable?

**Time: **
Tue 2019-10-01 10.00 - 11.00

**Lecturer: **
Gerhard Rein, Universität Bayreuth

**Location: **
Seminar Hall Kuskvillan, Institut Mittag-Leffler

## Abstract

The above question arose in the 1960s with the discovery of quasars, which exhibit very high redshift.

In my talk, self-gravitating matter distributions are described as solutions of the Einstein-Vlasov (or Einstein-Euler) system.

Under suitable assumptions a given microscopic (macroscopic) equation of state yields a one-parameter family of steady states of the Einstein-Vlasov (Einstein-Euler) system, where the parameter can be identified with the central redshift.

I will discuss the question whether the stability behavior of the steady states changes as the central redshift increases, i.e., as the steady states change from being close to Newtonian to being highly relativistic.

This is joint work with Mahir Hadzic (King's College, London) and Zhiwu Lin (GIT, Atlanta).