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This paper presents a systematic treatment of the linear theory of scalar gravitational perturbations in the synchronous gauge and the conformal Newtonian (or longitudinal) gauge. It differs from others in the literature in that we give, in both gauges, a complete discussion of all particle species that are relevant to any flat cold dark matter (CDM), hot(More)
Observations suggest that the effective radii of high-redshift massive spheroids are as much as a factor ∼ 6 smaller than low-redshift galaxies of comparable mass. Given the apparent absence of low-redshift counterparts, this has often been interpreted as indicating that the high density, compact red galaxies must be " puffed up " by some mechanism. We(More)
Several recent observations suggest that gas-poor (dissipationless) mergers of elliptical galaxies build up the massive end of the red sequence. We perform a series of major merger simulations to investigate the spatial and velocity structure of the remnants of such mergers. Regardless of orbital energy or angular momentum, we find that the stellar remnants(More)
We discuss the progression of growth of cosmological structure, from the quasilinear evolution of nearly Gaussian fluctuations on large scales into highly non-Gaussian, strongly nonlinear structure on small scales. A systematic development in perturbation theory describes the first departures from homogeneity but fails to reproduce the fully nonlinear(More)
We present an analytic model for the fully nonlinear power spectrum P and bis-pectrum Q of the cosmological mass density field. The model is based on physical properties of dark matter halos, with the three main model inputs being analytic halo density profiles, halo mass functions, and halo-halo spatial correlations, each of which has been well studied in(More)
We construct merger trees from the largest database of dark matter haloes to date provided by the Millennium simulation to quantify the merger rates of haloes over a broad range of descendant halo mass (10 12 M 0 10 15 M ⊙), progenitor mass ratio (10 −3 ξ 1), and redshift (0 z 6). We find the mean merger rate per halo, B/n, to have very simple dependence on(More)
We use the extensive catalog of dark matter haloes from the Millennium simulation to investigate the statistics of the mass accretion histories (MAHs) and accretion rates of ∼ 500, 000 haloes from redshift z = 0 to 6. We find only about 25% of the haloes to have MAHs that are well described by a 1-parameter exponential form. For the rest of the haloes,(More)
We perform hydrodynamical simulations of major galaxy mergers using new methods for calculating the growth of massive black holes (BH) in galactic nuclei and their impact on the surrounding galaxy. We model BH growth by including a subgrid model for accretion produced by angular momentum transport on unresolved scales. The impact of the BHs radiation on(More)
We derive fully nonlinear expressions for temperature fluctuations from the kinetic Sunyaev-Zeldovich (SZ) effect, the scattering of cosmic microwave background photons off hot electrons in bulk motion. Our result reproduces the Ostriker-Vishniac effect to second order in perturbation theory but contains nonlinear corrections to the electron velocities and(More)