Peer-Reviewed Journal Details
Mandatory Fields
Condron E.;Nolan B.
2014
January
Classical and Quantum Gravity
Collapse of a self-similar cylindrical scalar field with non-minimal coupling
Published
4 ()
Optional Fields
classical general relativity cosmic censorship cylindrical symmetry gravitational collapse mathematical relativity non-minimal coupling scalar field self-similarity singularity
31
1
015015
We investigate self-similar scalar field solutions to the Einstein equations in whole cylinder symmetry. Imposing self-similarity on the spacetime gives rise to a set of single variable functions describing the metric. Furthermore, it is shown that the scalar field is dependent on a single unknown function of the same variable and that the scalar field potential has exponential form. The Einstein equations then take the form of a set of ODEs. Self-similarity also gives rise to a singularity at the scaling origin. We discuss the number of degrees of freedom at an arbitrary point and prove existence and uniqueness of a 2-parameter family of solutions with a regular axis. We discuss the evolution of these solutions away from the axis toward the past null cone of the singularity, determining the maximal interval of existence in each case. © 2014 IOP Publishing Ltd.
0264-9381
10.1088/0264-9381/31/1/015015
Grant Details