Structure Formation
Cosmology · Part 5
305 KB10 sections4 key equationsLaTeX typeset
Table of Contents
- 1.1. Introduction
- 2.2. Linear Perturbation Theory
- 3.3. The Jeans Instability
- 4.4. The Transfer Function
- 5.5. The Matter Power Spectrum
- 6.6. Nonlinear Gravitational Collapse
- 7.7. The Cosmic Web
- 8.8. The Press-Schechter Formalism
- 9.9. Computational Exercise: Matter Power Spectrum and Growth Factor
- 10.10. Summary
Key Equations
$$\delta(\mathbf{x}, t) \equiv \frac{\rho(\mathbf{x}, t) - \bar{\rho}(t)}{\bar{\rho}(t)}$$
$$D(a) = \frac{5\Omega_{m,0}}{2}\,H(a)\int_0^a \frac{da'}{[a' H(a')]^3}$$
$$\boxed{P(k, z) = A\,k^{n_s}\,T^2(k)\,D^2(z)}$$
$$\mathbf{x}(\mathbf{q}, t) = \mathbf{q} + D(t)\,\mathbf{\Psi}(\mathbf{q})$$
Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.
Course Context
This PDF is part of the Cosmology course on CoursesHub.World. Study the origin, structure, and evolution of the universe. Covers the expanding universe, thermal history, cosmic inflation, CMB physics, structure formation, dark matter, dark energy, and observatio...
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