Astro 321 Set 1: FRW Cosmology - Wayne Hu's Tutorials

More documents

Recommendations

Info

. • Hubble in 1929 used the Cepheid period luminosity relation to infer distances to nearby galaxies thereby discovering the expansion of the universe Hubble Constant • Hubble actually inferred too large a Hubble constant of H0 ∼ 500km/s/Mpc • Miscalibration of the Cepheid distance scale - absolute measurement hard, checkered history • H0 now measured as 74.2 ± 3.6km/s/Mpc by SHOES calibrating off AGN water maser
Hubble Constant History • Took 70 years to settle on this value with a factor of 2 discrepancy persisting until late 1990’s • Difficult measurement since local galaxies where individual Cepheids can be measured have peculiar motions and so their velocity is not entirely due to the “Hubble flow” • A “distance ladder” of cross calibrated measurements • Primary distanceindicators cepheids, novae planetary nebula or globular cluster luminosity function, AGN water maser • Use more luminous secondary distance indications to go out in distance to Hubble flow Tully-Fisher, fundamental plane, surface brightness fluctuations, Type 1A supernova
Page 1 and 2: Astro 321 Set 1: FRW Cosmology Wayn
Page 3 and 4: FRW Geometry • FRW geometry = hom
Page 5 and 6: . • Spatial geometry is that of a
Page 7 and 8: • Two types of distances: FRW Geo
Page 9 and 10: Volume Element • Metric also defi
Page 11 and 12: Time and Conformal Time • Proper
Page 13 and 14: FRW Metric • Proper time defines
Page 15 and 16: . • Wavelength of light “stretc
Page 17 and 18: Hubble Law • Note limiting case i
Page 19 and 20: Measuring D(z) • Standard Candle:
Page 21 and 22: Olber’s Paradox • Second piece:
Page 23: Measuring D(z) • If absolute cali
Page 27 and 28: Maser-Cepheid-SN Distance Ladder
Page 29 and 30: . Beyond Hubble’s Law • Type 1A
Page 31 and 32: Beyond Hubble’s Law • Indicates
Page 33 and 34: Einstein Equations • Isotropy dem
Page 35 and 36: • Friedmann equations: Friedmann
Page 37 and 38: Critical Density • Likewise radiu
Page 39 and 40: . Newtonian Energy Interpretation
Page 41 and 42: Newtonian Force Interpretation •
Page 43 and 44: • Special cases: Multicomponent U
Page 45 and 46: Acceleration Equation • Time deri
Page 47 and 48: Cosmic Microwave Radiation • Exis
Page 49 and 50: Cosmic Microwave Radiation • Radi
Page 51 and 52: Dark Matter • Since Zwicky in the
Page 53 and 54: . Dark Matter: Rotation Curves •
Page 55 and 56: Dark Matter: Bullet Cluster • Mer
Page 57 and 58: CMB Hydrostatic Equilibrium • Sam
Page 59 and 60: Giant Arcs • Giant arcs in galaxy
Page 61 and 62: Dark Energy • Distance redshift r

Astro 321 Set 1: FRW Cosmology - Wayne Hu's Tutorials

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?