Section 4

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Physics Karteikarten am Section 4, erstellt von Lucy Clements am 10/01/2023.
Lucy Clements
Karteikarten von Lucy Clements, aktualisiert more than 1 year ago
Lucy Clements
Erstellt von Lucy Clements vor fast 2 Jahre
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Speed of galaxy rotation curves G is gravitational constant M(<r) is mass within the orbit r is the orbit radius
How do galaxy rotation curves provide evidence for dark matter? For planets, constant M(<r) so object is outside mass distribution means v is proportional to r^-1/2. But, for spiral galaxies, measurement of doppler shift of Hydrogen 21cm line shows at large r, v becomes constant. So M(<r) is proportional to r, suggesting luminous galaxy is surrounded by invisible dark matter halo
Equation for M(<r) in terms of density
What galaxy cluster observations indicate dark matter? 1) Total mass from virial theorem (more mass than expected without dark matter) 2) Baryon fraction from x-ray gas (only 0.1 so must be some other matter too) 3) Mass distribution from gravitational lensing (since mass bends space which bends light from back galaxies)
How does virial theorem support dark matter? Virial theorem: 2T+V=0, where T=kinetic, V=potential energy 2T+V=<v^2>M-GM^2/R Hence M=R<v^2>/G Velocity measured from speeds from doppler effect, radius estimated from projected positions of galaxies. More mass than we'd expect - mass density parameter=0.3
How does baryon fraction from x-ray gas support dark matter? Baryon fraction=baryon mass/total mass Equivalent to baryon/matter density parameters 1st term: x-ray spectra, 2nd term: x-ray surface brightness Result baryon fraction=0.1
How does mass distribution from gravitational lensing support dark matter? Mass bends space --> light from distant background galaxies bends Strong lensing=multiple images of background galaxy Positions+intensities of images gives mass distribution
explain how the clustering of galaxies constrains the neutrino density parameter - galaxy clustering depends on initial density fluctuations and how these grow - galaxy red-shift surveys (Baryon acoustic oscillations) have therefore measured galaxy clusters to find matter density and baryon fraction - HDM free streams and erases density fluctuations on small scales, so measurement of galaxy clusters limits them - Limits hot, relativistic, light dark matter = light neutrinos to 0.1 - Limits total mass of light neutrinos to <1eV - So most of dark matter is cold + non-relativistic
Define WIMPs weakly interacting massive particle produced in Big Bang with roughly right density to be dark matter, expected to exist in extensions of the standard model of particle physics
Explain why WIMPs are produced with right density - Early times: high temp, WIMPs created by collisions so in thermal equilibrium as also destroyed by annihilation with themselves - Constant comoving density, n - Universe cools: too low energy to produce massive WIMPs, only being destroyed, n decreases rapidly - Freeze out: n becomes so low no more annihilation since weakly interacting - Again n constant now = required present day WIMP density
Describe how WIMPs can be detected - Produced at Large Hadron Collider - Detected directly via elastic scattering off nuclei - Detected indirectly via annihilation products in high density regions
Define Axions and how they can be detected Dark matter candidate, very light, extremely weakly interacting particles. Mass constrained by cooling stars + supernovae observations. Detected by conversion to photons in magnetic field
Define primordial black holes and how they can be detected Form in early Universe from collapse of density fluctuations and will be non-baryonic if formed before nucleosynthesis Amount determined by microlensing of stars: temporary brightness during gravitational lensing when massive object crosses line of sight Also disrupt the galactic disk
Deceleration parameter for flat universe containing matter and cosmological constant
What are type 1a supernovae? What do the observations tell us? Occur when mass accretion from binary companion causes explosion of a white dwarf. Standardisable candles: correlation between maximum absolute brightness and rate at which they fade so used to measure luminosity distance Observed: distant supernovae are dimmer than expected so universe is accelerating so cosmological density parameter>1/3
What is the cosmological constant problem? Expected value of cosmological constant from particle physics is ~10120 times bigger than observed
What is the fluid description? cosmological constant can be described as fluid with equation of state with w=-1, so negative pressure (from fluid and friedmann, noting density is constant with time)
What is quintessence? model of dark energy with different (and possibly time varying, rather than cosmological constant) equation of state
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