Lagrangian theory of structure formation in relativistic cosmology. V. Irrotational fluids (2018)
AuthorsLi Y-Z, Mourier P, Buchert T, Wiltshire DLshow all
We extend the general relativistic Lagrangian perturbation theory, recently developed for the formation of cosmic structures in a dust continuum, to the case of model universes containing a single fluid with a single–valued analytic equation of state. Using a coframe–based perturbation approach, we investigate evolution equations for structure formation in pressure–supported irrotational fluids that generate their rest–frame spacetime foliation. We provide master equations to first order for the evolution of the trace and traceless parts of barotropic perturbations that evolve in the perturbed space, where the latter describes the propagation of gravitational waves in the fluid. We illustrate the trace evolution for a linear equation of state and for a model equation of state describing isotropic velocity dispersion, and we discuss differences to the dust matter model, to the Newtonian case, and to standard perturbation approaches.
ANZSRC Fields of Research01 - Mathematical Sciences::0105 - Mathematical Physics::010504 - Mathematical Aspects of General Relativity
02 - Physical Sciences::0201 - Astronomical and Space Sciences::020105 - General Relativity and Gravitational Waves
02 - Physical Sciences::0203 - Classical Physics::020303 - Fluid Physics
01 - Mathematical Sciences::0102 - Applied Mathematics::010207 - Theoretical and Applied Mechanics
02 - Physical Sciences::0201 - Astronomical and Space Sciences::020103 - Cosmology and Extragalactic Astronomy