Lagrangian theory of structure formation in relativistic cosmology. V. Irrotational fluids (2018)
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 Research49 - Mathematical sciences::4902 - Mathematical physics::490204 - Mathematical aspects of general relativity
51 - Physical sciences::5101 - Astronomical sciences::510105 - General relativity and gravitational waves
02 - Physical Sciences::0203 - Classical Physics::020303 - Fluid Physics
49 - Mathematical sciences::4901 - Applied mathematics::490109 - Theoretical and applied mechanics
51 - Physical sciences::5101 - Astronomical sciences::510103 - Cosmology and extragalactic astronomy
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Li YZ; Mourier P; Buchert T; Wiltshire DL (2018)© 2018 American Physical Society. American Physical Society. We extend the general relativistic Lagrangian perturbation theory, recently developed for the formation of cosmic structures in a dust continuum, to the case of ...
Wiltshire, D.L. (University of Canterbury. Physics and Astronomy, 2011)The problems of coarse-graining and averaging of inhomogeneous cosmologies, and their backreaction on average cosmic evolution, are reviewed from a physical viewpoint. A particular focus is placed on comparing different ...
Duley, J.A.G.; Nazer, M.A.; Wiltshire, D.L. (University of Canterbury. Mathematics and StatisticsUniversity of Canterbury. Physics and Astronomy, 2013)The timescape cosmology represents a potentially viable alternative to the standard homogeneous cosmology, without the need for dark energy. Although average cosmic evolution in the timescape scenario only differs ...