Rigidly rotating dust solutions depending upon harmonic functions

Rigidly rotating dust in general relativity

A solution to the Einstein field equations that represents a rigidly rotating dust accompanied by a thin matter shell of the same type is found.

OnStephani's rotating dust solutions

Some years ago Stephani derived two classes of rotating dust solutions. In this paper Stephani's results are generalised to the case where the cosmological constant is non-zero. The solutions are of Petrov type D and the magnetic part of the Weyl tensor vanishes. The solutions involve seven arbitrary functions of a spacelike coordinate and in general they admit no Killing vectors. Nevertheless ...

Collisions of rigidly rotating disks of dust in General Relativity

Van Stockum–Bonnor Spacetimes of Rigidly Rotating Dust

We discuss different classes of van Stockum spacetimes which are stationary and axisymmetric spacetimes of dust rotating rigidly on trajectories of the time translation Killing vector. The flow has no Newtonian limit. Asymptotically flat solutions are not physically viable. As an example we construct a sequence of asymptotically flat internal multipolar solutions. The corresponding sequence of ...

Rigidly Rotating Strange Quark Star

The possibility of the existence of quark matter dates back to early seventies. Bodmer remarked that matter consisting of deconfined up, down and strange quarks could be the absolute ground state of matter at zero pressure and temperature. If this is true then objects made of such matter, so-called ”strange star”, could exist. There are several proposed mechanisms for formation of quark stars. ...