Dark Energy

Cosmology · Part 6

328 KB10 sections4 key equationsLaTeX typeset

Table of Contents

  1. 1.1. Introduction: The Discovery of Cosmic Acceleration
  2. 2.2. Type Ia Supernovae as Standard Candles
  3. 3.3. The Cosmological Constant
  4. 4.4. The Cosmological Constant Problem
  5. 5.5. The Coincidence Problem
  6. 6.6. Quintessence and Dynamical Dark Energy
  7. 7.7. Parametrizing the Dark Energy Equation of State
  8. 8.8. Phantom Dark Energy and the Big Rip
  9. 9.9. Modified Gravity as an Alternative to Dark Energy
  10. 10.10. Observational Probes of Dark Energy

Key Equations

$$\frac{\ddot{a}}{a} = -\frac{4\pi G}{3}\left(\rho + \frac{3p}{c^2}\right) + \frac{\Lambda c^2}{3}$$
$$a(t) \propto e^{H_\Lambda t}$$
$$a_{\text{acc}} = \left(\frac{\Omega_m}{2\Omega_\Lambda}\right)^{1/3} \approx 0.61, \qquad z_{\text{acc}} \approx 0.64$$
$$\rho_{\text{DE}} \propto a^{-3(1+w)}$$

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...