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ASTR 350: Intro to Cosmology - Understanding the Inflation Theory - Prof. Benjamin D. Wand, Assignments of Astronomy

A part of the lecture notes for the intro to cosmology course (astr 350) taught by benjamin wandelt. The session focuses on the inflation theory, explaining how it solves the horizon, flatness, homogeneity and isotropy, and primordial perturbations problems in cosmology. The document also discusses the concept of chaotic inflation and its implications for the emergence of a large, smooth universe.

Typology: Assignments

Pre 2010

Uploaded on 03/16/2009

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Download ASTR 350: Intro to Cosmology - Understanding the Inflation Theory - Prof. Benjamin D. Wand and more Assignments Astronomy in PDF only on Docsity! Benjamin Wandelt ASTR 350 โ€“ Intro to Cosmology ASTR350: Intro to Cosmology Session 38 Benjamin D. Wandelt Benjamin Wandelt ASTR 350 โ€“ Intro to Cosmology Logistics โ— Final projects due Monday. โ€“ I created an assignment on Illinois Compass โ— One more problem set to come โ€“ will post during break. You will have 10 days to finish it. Benjamin Wandelt ASTR 350 โ€“ Intro to Cosmology A large smooth Universe from a frothy one โ— Imagine we could get a patch of spacetime to go through a period of expansion while keeping the density constant. โ— The patch would stretch out. The local curvature would decrease at constant density โ€“ we would approach flatness. โ— Where have you seen this before? How do you get exponential expansion? What type of material (what w ) do you need? Benjamin Wandelt ASTR 350 โ€“ Intro to Cosmology Inflation ti m e, e xp an si o n Benjamin Wandelt ASTR 350 โ€“ Intro to Cosmology Inflation solves flatness problem โ— If the universe expands with constant density (or actually any density that decreases any slower than 1/a2, it approaches flatness. โ— Can see this easily from the Friedmann equation โ€“ see blackboard discussion Benjamin Wandelt ASTR 350 โ€“ Intro to Cosmology Structure formation โ— One of the surprising features of quantum gravity: event horizons have a quantum mechanical temperature. This temperature leads to quantum fluctuations. These quantum fluctuations convert to real density fluctuations after being stretched beyond the event horizon. โ— The size of the event horizon is c/H. Can you turn that into a temperature by dimensional analysis? Hint: length->time->frequency->energy->temperature Benjamin Wandelt ASTR 350 โ€“ Intro to Cosmology Have a nice thanksgiving break!
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