Astronomy and Astrophysics – Astrophysics
Scientific paper
1994-01-07
Astrophys.J. 455 (1995) 7
Astronomy and Astrophysics
Astrophysics
35 pages, AAS LaTeX v3.0, figures and/or postscript available by anonymous ftp to arcturus.mit.edu, Caltech GRP-375; MIT-AT-94
Scientific paper
10.1086/176550
We present a systematic treatment of the linear theory of scalar gravitational perturbations in the synchronous gauge and the conformal Newtonian (or longitudinal) gauge. We first derive the transformation law relating the two gauges. We then write down in parallel in both gauges the coupled, linearized Boltzmann, Einstein and fluid equations that govern the evolution of the metric perturbations and the density fluctuations of the particle species. The particle species considered include cold dark matter (CDM), baryons, photons, massless neutrinos, and massive neutrinos (a hot dark matter or HDM candidate), where the CDM and baryon components are treated as fluids while a detailed phase-space description is given to the photons and neutrinos. The linear evolution equations presented are applicable to any $\Omega=1$ model with CDM or a mixture of CDM and HDM. Isentropic initial conditions on super-horizon scales are derived. The equations are solved numerically in both gauges for a CDM+HDM model with $\Omega_{\rm cold}=0.65,$ $\Omega_{\rm hot}=0.3$, and $\Omega_{\rm baryon}=0.05$. We discuss the evolution of the metric and the density perturbations and compare their different behaviors outside the horizon in the two gauges. In a companion paper we integrate the geodesic equations for the neutrino particles in the perturbed conformal Newtonian background metric computed here. The purpose is to obtain an accurate sampling of the neutrino phase space for the HDM initial conditions in $N$-body simulations of the CDM+HDM models.
Bertschinger Edmund
Ma Chung-Pei
No associations
LandOfFree
Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-707685