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128 Cards in this Set

  • Front
  • Back

Hot Dark Matter

Big objects fragment into smaller pieces

Cold Dark Matter

Large particles forming big clouds of slow gasses that dont interact

WIMP

Weakly interacting massive particle hypothesis
- elementary particle


- dont interact with photons, or electrostatic forces

MACHO

Black hole, neutron star, brown dwarf

Neutrino

Elementary particles that change type. Have some mass... previously a candidate for DM

Isotropy Problem

Universe is basically the same everywhere


No preferred directions in the universe

Flatness Problem

Universe has no curvature


No preferred

Monopole Problem

We don't see exotic stable particles around... They should have been created at high temps

Inflation

Solves 3 problems
Universe underwent rapid early expansion, (ie a balloon expanding) then reheated

Reheating

At end of inflation, potential energy of inflation field was converted into Standard Model particles

CMB Polarization

E-Mode -> Density Fluctuations


B-Mode -> Gravitational waves and lensing

Big Bang 3 Tenets

1. Universe was hot


2. Universe was dense


3. Universe is expanding

Planck Era

Before 10^-43 second




All forces had same strength

Grand Unification Epoch

10^-43 to 10^-36




Gravity separates

Inflationary Epoch

10^-36 to 10^-32




Rapid Expansion

Electroweak Epoch

10^-32 to 10^-12




Strong separates from Weak Forces & Electromagnetism

Baryogenesis

Why are there so many baryons (normal matter), but so few anti-baryons?

Likely there was asymmetry, so what we have is what was left over after annihilation

CMB Fluctuations

Small fluctuations grow with gravity to form structures in universe




Temp variations = density variations




Photons become slightly redshifted travelling through overdense areas

Power Spectrum

Angular Power spectrum of CMB fluctuations




Plots Temp variation throughout sky vs angular scale

Late Time Anisotropy

CMB photons scatter off of free electrons


Rare at z=0


Common at high z


- erases small structure, polarizes photons

Polarization

Two types


- Electric field mode from scattering


- Magnetic field mode from gravity

Big Bang Nucleosynthesis

Early universe rapidly cooled


- 98% of all helium produced in first few minutes


Universe then cooled


- particle fusion


- Baryon density explains observed abundances

Deuterium

No known process that makes it


Fragile element, burns at low T


Relative amounts of H, He, Deu and Li depend on density of baryonic matter

Cosmic Shear

Distortion of images of distant galaxies due to weak G-lensing




Angles look uniform from lensing "smearing"


- can constrain DM and DE amounts, w=DE equation of state

WMAP

5 year NASA mission to measure CMB

Dark Matter

Any type of mass that doesn't emit light

Dark Energy

Pure energy, doesn't produce gravity

Cosmological Constant Problem

Vacuum energy density is very small

Cosmic Coincidence PRoblem

Why is Dark Energy density only now comparable to Matter density

Measuring Dark Energy

see how it affects universe expansion rate

Expansion was slower in the past

Standard Candle

Object with known luminosity. Measuring Flux gives distance




ie Supernovae type SN1a

SN1a

Supernovae type 1a
- Search for SN1a galaxies


- compare expected flux with observed


- measure redshift


- - Low redshift gives H0


- - high redshift gives deceleration




If universe is accelerating, candles have smaller flux at redshift z




Result: SN1a dimmer, = acceleration

Evidence for Dark Energy

- Supernovae standard candles to measure expansion rate


- Cosmic microwave shows universe has threshold density


- weak lensing


- distribution of matter

General Relativity

Gravity replaced by Spacetime


- light follows straightest path through spacetime

Grav Lensing

- Deflection of lgiht as it passes massive objects


- Probes matter by its gravitational influence


- No orbital assumptions

Einstein Rign

If source, lens, and observer are perfectly aligned, will form a ring

Multiply Imaged Quasars

Example of strong lensing


- Detect high redshift (far) quasars


- look at other objects nearby, see if they're the same object!
- Can estimate constant H

Microlensing

Lensing by stars, causes temporary brightening for background stars
- Used for MACHO searches

weak lensing

slight image distortions


- measure tangential component of shape and average in bins

Gravitational Telescopes

Light from distant sources magnified and distorted


- Use magnification to find most distant high redshift galaxies

Lyman Alpha Forest

Very distant quasars have some absorption lines i ntheir spectra (from neutral Hydrogen between distant quasar)

Reionization

Early universe was hot plasma
Galaxies start forming and ionizing universe
- atoms form, universe becomes neutral

Radiative Cooling

If gas can dissipate energy faster than any heating process, it'll sink towards center of potential




1. Star formation


2. Gas and stars more tightly bound than DM




Tcool, Tdynamic




if Tc < Td, Temp dropts and contracts into disk


if Tc > Td, Cloud contracts and is pressure supported

Radiative Cooling mechanisms

- Compton Cooling


- - Cold microwave photons scatter off hot electrons




- Bremsstrahlung Cooling


- - Free-free emission


- - charge particles deflected by others




- Line Cooling


- - Ionization of bound-bound transition

Cooling Catastrophe

Cooling times in centres of massive halos are SHORT.


- Should lead to massive central galaxies...


must be some kind of feedback

Heating Feedback

- Supernovae


- - strip gas from low mass halos


- - SNe explosion heats gas preventing feedback




- Stellar winds


- - young stars have energetic winds of particles




- AGN


- - stop contraction and cooling of gas




- ionizing radiation




- Galaxy Merger


- - Disrupt cooling of gas
- - drives cold gas to centre, cause star formation

Ionizing Radiation

In the presense of UV ionizing background, small systems unable to accrete gas
systems with small dispersions, gas can be boiled out




Cooling is suppressed at low mass

Main Free Parameters

Star Formation


- efficiency of converting gas to stars




Feedback Efficiency


- increase feedback, decrease L




Efficiency of metal production


- more metals, more cooling in small halos, more L at small mass

Issues in Modelling

Satellite/Substructive problem


Details of star formation
Details of feedback


Evolution of dust


Reproducing observables

Chemical Self-Enrichment

In young-stellar systems


- massive system, SN ejects are retained and reused


- small system, SN shocks and star winds expell enriched gas... supress star formation!

Luminosity Bias

As we look far away, we only see the most luminous galaxies

Photometric Redshifts

Find flux from different filters, compare against library of spectral energy distributions... find best fit

Dusty Star Formation

Many galaxies starbusting in dense dusty environments, light is absorbed

Optical doesn't show much, need to look in IR

Active Galactic Nuclei (AGN)

Supermassive Black Holes
Highly Variable
Short variation time scale
Small size
Huge velocity dispersion

Seyfert Galaxies

Type 1 and Type 2
Strong emission lines, highly ionized gas


Strong radio, IR, UV, Xray




radio = synchrotron


IR = radiation in other bands reprocessed by dust


High energy photons = inverse compton scattering

Seyfert 1

Broad + narrow emission lines

Seyfert 2

ONLY narrow emission liens

Synchrotron Emissions

Electrons spin in helical motion when under magnetic field, create radio emissions

Quasars

Stellar-looking


Radio loud or Quiet
Outshine host galaxies
high redshift

Eddington Limit

Limit where radiation pressure of light emitting body exceeds body gravitational attraction

If AGN has L > eddington, stops accreting

Radio-loud quasar

Behaves like quiet, WITH emission from jet

Blazar

Rapidly variable polarized emission, no lines

Radio galaxies

Nuclear and extended radio emission

Usually elliptical

Source of radio emissions in galaxies

Electrons near center of quasar accelerated -> c




In B field, electrons move helical paths

AGN properties

Radio Quiet
L > Lgalaxy = R-Quiet Quasar


L < Lgalaxy = Seyfert 1, 2




Radio Loud
L > Lgalaxy = R-Loud Quasar, Blazar
L < Lgalaxy = Radio galaxy

Superluminal Motion

Redshift formula applies only for low redshifts/velocities

Some quasars have superluminal jets


- creates optical illusion with material moving close to c


- if jet pointed at us, appears faster than light

Virial Theorem

For a stable, self-gravitating spherical distribution of equal mass objects, total kinetic energy = -1/2 total Gravitational potential energy

Jean's Mass Derivation

Exceeding this mass, gas collapses to form star
Decreases as density increases

Initial Mass Function

Number of stars that form per mass internal per unit volume

Galaxy Bulge

R = 1kpc
Spherical


Light Distribution: r^1/4

Galaxy Disk

R = 15kpc


Spiral Arms

Galaxy Halo

Globular clusters and old field stars


Younger stars contain more metals

Luminosity Function

How many stars of each luminosity are present in parsec cubed

Schechter Function

Luminosity Function, space density of galaxies as a function of their luminosity

Proper Motion

"Parallax Effect"


Angular motion of stars across sky... typical motion across 1 year




Smallest resolvable angle = 1arcmin

Radial Motion

Away vs towards us


Doppler Shifted

Tangential Velocity

Proper Motion * distance

Apparent MAgnitude

How bright it appears in the sky

Absolute MAgnitude

Apparent magnitude at 10 parsecs away

Detecting Interstellar medium

Hot ionized gas and dust

Attributes of Stars
Mass

Chemical Composittion


Luminosity

Total energy emitted by the star

Hydrostatic Balance

Equilibrium of gravity and radiation pressure


- small, not hot enough for nuclear reactions


- large, outer layers of star blown away

Stellar Metallicity

Fraction of mass in heavy elements (Z)

Hertzsprung-Russel (HR) Diagram

Luminosity vs Surface Temperature


Shows sequence groupings of stars


- Main Sequence


- White Dwarfs


- Giants


- Supergiants

Stellar Age (HR Diagram)

Main sequence is where most life is spent.
Position determined by mass




Stars evolve OFF of Main Sequence

Star Clusters

Open = group of stars formed in giant cloud, loosely bound




Globular = tightly bound old stars

Stellar Evolution

if M < 8Ms = Red Giant, Planetary nebulae, white dwarf




if 8Ms < M < 25Ms = Supernovae, neutron star




if M > 25Ms = Supernova, black hole

Planetary nebulae

Hydrogen in star is depleted

White Dwarf

Star exhausts all fuel


very dense


very faint

Supernova

Extremely bright stellar explosion




Type 1a = star with companion white dwarf.




Type 2 = single massive stars at the end of their lives

Neutron Star

Neutron degenerate material


very dense

Black hole

escape velocity > c


detected by hot gas swirling in and their influence

Interstellar medium

Gas in galaxies, "Dust"


- hot ionized = Ha emission, xray




- Neutral atomic = 21cm emission, radio




- cold molecular = CO rotational emission, mm wavelenghts




- Dust = Thermal Blackbody, IR



ISM Distribution

Hot ionized gas = Halo



Neutral atomic gas = midplane, large radii




Cold molecular gas = spiral arms




Dust = tracks in distrubution of gas



ISM Cycle

Atomic HI


- Gas compressed


Molecular H2


- Stars form, ionize gas


Ionized HIII


- Stars die, electrons and nuclei recombine

HI Regions

Atomic hydrogen


detected by radio lines

Star formation

Form fro mmolecular gas


rotation leads to accretion of molecular cloud, channels material to core

Milky Way Metallicities

Disk = metal rich, young stars


Halo = metal poor, old


Bulge = mostly metal poor

Velocity Dispersion

Spread of velocities in galaxy

Cepheid Variable Stars

Variable He burning stars
Period linked to luminosity




Can measure distance from period

Surface Brightntess

How light from object is distributed

Isophotes

Lines of constant surface brightness

Tully Fisher Relation

Relation between spiral galaxy luminosity and max rotational velocity

Brighter spins faster

Bulge to Total Ration

Differentiate between spiral types...

Galaxy Classification

S = Spiral




a = big bulge, tight arms


b = med bulge, med arms


c = small bulge, loose arms




SB = bar galaxy

Bar Galaxies

Systems that are triaxial, many stars on radial orbits




Redistribute mass and angular momentum in disk galaxies


- drive change


- lead to starbursts




Half of galaxies have bars


Likely very old

Winding Problem

Why dont all stars converge from spiral?
Solution: density-wave theory

Density-Wave Theory of Spiral Arms

Spiral arm is where density of gas is higher
- travels slowly in circular motion


- dust and gas move faster, collide with wave


- star formation




Low mass stars move between arms

What determines stellar disk size?

Angular Momentum


Conversion of gas to stars


Internal redistribution of angular momentum

Gastrophyiscs

Adding physics of gas, stars, and dust afterwards in simulation

Elliptical Galaxies

cD Galaxy = big bright, center of large clusters, many mergers




Normal = condenced, high surface B




Dwarf elliptical = diameters 1-10kpc, surface B low




Dwarf spheroidal = low luminosity & SB, only seen closeby

Isophote

Very close to ellipses for most E galaxies

Faber JAckson Relation

Luminosity proportional to velicty dispersion




estimate distances

Fundamental Plane

Relation between SB, Re and sig

Monolithic collapse

Gas cloud collapses, rapid starbursts

Tidal (Jacobi/Roche) Limit

Where a star feels equal fgravity from its satellite and larger host

Missing Satellite problem

We predict 100-1000 satellites, but Milky Way only has 25


- Maybe no stars?


- Maybe only DM?


- Maybe no gas for star formation?

Dwarfs are useful because (3 reasons)

1. test structure formation models


2. measure extent and shapes of DM halos


3. Dwarfs have more DM

Fritz Zwicky did what

Estimated mass by luminosity vs Virial mass equation, didnt match, therefore more mass?

Bremsstrahlung

Braking Radiation = emission when a charged particle is deflected by another charged particle

Supercluster

Large grouping of groups and clusters


not virialized

Schwarzschild Radius

Size of black hole

Friedmann Equations

Generally, describes the expansion of space as a function of time


- Assumes homogeneous and isotropy


- Friedmann, Fluid, and Acceleration

Angular Diameter Distance

Proper distance to a Standard "yardstick" for measuring length between two objects




Proportional to diameter luminosity

Temperature Fluctuations


Universe was not perfectly homogeneous at the time of last scattering (z~1100)


Seen from dipole distortion of CMB, current Universe isn't perfectly homogenous

Angular size of Temperature fluctuations reflects size of density and velocity fluctuations

Benchmark Model of Temp Fluctuations

Current horizon distance set,


Angular diameter distance to the surface of last scattering = 13 Mpc