Image Index

16.   The Cosmological Framework

Under Construction

(1) Introduction
      (a) The Good News
      (b) The Not-So-Good News
      (c) Our Path Through the Subject

(2) Global Properties
      (a) Large Scale Isotropy

The Isotropic Universe

                   

      (b) The Cosmological Principle
      (c) Large Scale Homogeneity

The Homogeneous Universe

       

      (d) Small Scale Structure
      (e) Expansion

The Hubble Law

   

The Ubiquity of Hubble Flow

           

      (f) The Big Bang
      (g) Cosmic Time
      (h) Olber's Paradox

(3) More on Expansion
      (a) Expanding Coordinate Grids

Expanding Coordinate Grids

   

      (b) Scale Factor a(t) & Comoving Coordinates
      (c) The Hubble Parameter: H(t)
      (d) Velocity Distance Relation & Hubble Law
      (e) The Hubble Sphere
      (f) The Nature of the Redshift

Nature of Redshift

   

      (g) Measuring Distances and H0

Historical Record of Ho

The Distance Ladders

   

Cepheid Variables

           

HST Key Project

(4) Components & their Densities & Pressures
      (a) The Stage and its Contents
      (b) Critical Density & Spatial Geometry
      (c) Pressure & Equations of State
      (d) The Five Components

All Sky Backgrounds

   

CMB Spectrum


      (e) Density Changes with Scale Factor

Density Evolution

                   

      (f) Rates of Expansion (k=0, single component)
      (g) Cosmic Cooling
      (h) The Peculiar Role of Negative Pressure

(5) Cosmic Geometry: Robertson-Walker Metric
      (a) Space-Time Geometries

Gauss

Geometries


      (b) The Robertson-Walker Metric
      (c) Simple Properties of the RW-Metric

(6) Cosmic Dynamics: the Friedmann Equation
      (a) Gravity's Field Equation
      (b) Cosmological Parameters
      (c) The Many FRW World Models

Concordance Model
Scale Factor                 Velocity    
   

More FRW Models
Matter                       Radiation                   Vacuum                       Open                       Loitering
               

Summary

Futures & Ages

   

(7) Horizons & Distances
      (a) Three Proper Distances

Three Distances

Astronomer's View

   

      (b) Horizons

Three Horizons

      (c) Space-Time Diagrams

Space-Time Diagrams

       

      (d) Energy within the Horizon

Size-Mass diagrams
    Universe                     Human World
   

(8) Observables vs Redshift: A Toolkit
      (a) Luminosity Distance
      (b) Angular Diameter Distance
      (c) Proper Motion Distance
      (d) Surface Brightness
      (e) Volumes of Shells
      (f) Summary of Relations
      (g) Useful Charts

Concordance Model Properties
Full History                                       First Gyr                                         First 500 kyr
                   

(9) Classical Tests
(10) Classic Problems
(11) Inflation
(12) The Early Universe
(13) Recombination & The CMB