Model Universes ASTR/PHYS 4080: Intro to Cosmology Week 4 From https://commonphysics.wordpress.com/tag/physics/, where the tag line is “In science there is only physics, all the rest is stamp collecting.” Such hubris is why we’re still stuck with string theory. ASTR/PHYS 4080: Introduction to Cosmology Spring 2018: Week 04 1
Evolution of Components ASTR/PHYS 4080: Introduction to Cosmology Spring 2018: Week 04 2
Relativistic Component: “Radiation” = Photons + Neutrinos CMB dominates energy density of photons in universe today Don’t know the mass of neutrinos, but energy density dominated by momentum and decoupling in early universe. Calculated to be: True for each neutrino flavor, so total is 3x above. ASTR/PHYS 4080: Introduction to Cosmology Spring 2018: Week 04 3
Relativistic, Non-rel., & Components Radiation Matter: Dark Energy: Using evolution of each component with a, can compute when matter- dark energy and matter-radiation components were comparable ASTR/PHYS 4080: Introduction to Cosmology Spring 2018: Week 04 4
Model Universes Can now solve for a(t) generically, if not necessarily analytically: • Empty • Matter only • classic case: open, closed, flat • Radiation only (+curvature) • Lambda only (+curvature) • Various Combinations! ASTR/PHYS 4080: Introduction to Cosmology Spring 2018: Week 04 5
Empty ASTR/PHYS 4080: Introduction to Cosmology Spring 2018: Week 04 6
Only 1 Constituent in a Flat Spacetime ASTR/PHYS 4080: Introduction to Cosmology Spring 2018: Week 04 7
Only 1 Constituent in a Flat Spacetime empty m r empty m r ASTR/PHYS 4080: Introduction to Cosmology Spring 2018: Week 04 8
Classical Cosmology: Matter + Curvature ASTR/PHYS 4080: Introduction to Cosmology Spring 2018: Week 04 9
Classical Cosmology: Matter + Curvature Density —> Destiny ASTR/PHYS 4080: Introduction to Cosmology Spring 2018: Week 04 10
Flat: Matter + Cosmological Constant ASTR/PHYS 4080: Introduction to Cosmology Spring 2018: Week 04 11
Matter + Lambda + Curvature ASTR/PHYS 4080: Introduction to Cosmology Spring 2018: Week 04 12
Benchmark Model 2 Kt a ∝ e 0 log(a) 2/3 a ∝ t − 2 t 0 t m Λ − 4 1/2 a ∝ t t rm − 6 − 10 − 8 − 6 − 4 − 2 0 log(H 0 t) ASTR/PHYS 4080: Introduction to Cosmology Spring 2018: Week 04 13
Benchmark Model ASTR/PHYS 4080: Introduction to Cosmology Spring 2018: Week 04 14
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