2015/11/30 by A. A. Coley, Alan Coley, Woei Chet Lim +1 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Fluid dynamics #Geometry #Massless particle #Mathematical physics #Mathematics #Mechanics #Perfect fluid #Physics #Quantum Electrodynamics and Casimir Effect #Scalar (mathematics) #Scalar field #Spike (software development) #gr-qc
paper · pdf · doi:10.1088/0264-9381/33/1/015009
published as Class. Quantum Grav. 33 (2016) 015009 · 24 pages, 3 figures
openalex publication_date 2015/12/11 · arxiv created 2017/01/10 · arxiv updated 2017/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We shall discuss the general relativistic generation of spikes in a massless scalar field or stiff perfect fluid model. We first investigate orthogonally transitive (OT) G 2 stiff fluid spike models both heuristically and numerically, and give a new exact OT G 2 stiff fluid spike solution. We then present a new two-parameter family of non-OT G 2 stiff fluid spike solutions, obtained by the generalization of non-OT G 2 vacuum spike solutions to the stiff fluid case by applying Geroch's transformation on a Jacobs seed. The dynamics of these new stiff fluid spike solutions is qualitatively different from that of the vacuum spike solutions in that the matter (stiff fluid) feels the spike directly and the stiff fluid spike solution can end up with a permanent spike. We then derive the evolution equations of non-OT G 2 stiff fluid models, including a second perfect fluid, in full generality, and briefly discuss some of their qualitative properties and their potential numerical analysis. Finally, we discuss how a fluid, and especially a stiff fluid or massless scalar field, affects the physics of the generation of spikes.