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Stellar Physics 10 lectures, exploring the development of cosmology, and some of the key ideas of Big Bang theory s PPT slides at //www.astro.gla.ac.uk/users/martin/teaching/aberdee Dr Martin Hendry Dept of Physics and Astronomy University of Glasgow [email protected]

Stellar Physics 10 lectures, exploring the development of cosmology, and some of the key ideas of Big Bang theory Access PPT slides at

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Stellar Physics 10 lectures, exploring the development of cosmology, and some of the key ideas of Big Bang theory Access PPT slides at http://www.astro.gla.ac.uk/users/martin/teaching/aberdeen.ppt Dr Martin Hendry Dept of Physics and Astronomy University of Glasgow [email protected] Slide 2 25000 10000 8000 6000 5000 4000 3000 Surface temperature (K) O5 B0 A0 F0 G0 K0 M0 M8 Luminosity (Sun=1) Spectral Type 1 10 2 10 4 10 6 10 -2 10 -4 -10 -5 0 +5 +10 +15 Absolute Magnitude 0.001 R S 0.01 R S 0.1 R S 1 R S 10 R S Main Sequence White dwarfs Supergiants 1000 R S 100 R S Giants We can plot the temperature and luminosity of stars on a diagram Stars dont appear everywhere: they group together, and most are found on the Main Sequence Slide 3 25000 10000 8000 6000 5000 4000 3000 Surface temperature (K) O5 B0 A0 F0 G0 K0 M0 M8 Luminosity (Sun=1) Spectral Type 1 10 2 10 4 10 6 10 -2 10 -4 -10 -5 0 +5 +10 +15 Absolute Magnitude...................................................................................................................... Regulus Vega Sirius A AltairSun Sirius B Procyon B Barnards Star Procyon A....... Aldebaran Mira Pollux Arcturus Rigel Deneb Antares Betelgeuse Stars on the Main Sequence turn hydrogen into helium. Blue stars are much hotter than the Sun, and use up their hydrogen in a few million years Slide 4 Observational Evidence for Compact Objects 1. White Dwarfs 2. Neutron Stars 3. Black Holes Slide 5 White Dwarfs Small but very luminous (because of high T) Can be directly observed Slide 6 Slide 7 Slide 8 Slide 9 Slide 10 Important Type of White Dwarf for Cosmology: Type Ia Supernovae Excellent for measuring cosmological distances good Standard Candle Slide 11 Type Ia Supernova White dwarf star with a massive binary companion. Accretion pushes white dwarf over the Chandrasekhar limit, causing thermonuclear disruption Good standard candle because:- Narrow range of luminosities at peak brightness; Observable to very large distances Slide 12 Slide 13 Will the Universe continue to expand forever? To find out we need to compare the expansion rate now with the expansion rate in the distant past Is the Universe speeding up or slowing down? Slide 14 Answer depends on the geometry of the Universe Closed Open Flat Slide 15 We can measure this using Type Ia Supernovae Slide 16 Slide 17 Slide 18 Results: The expansion is accelerating The geometry of the Universe is FLAT The Universe will continue to expand indefinitely Slide 19 Cosmological Constant? Quintessence? What is driving the cosmic acceleration? Slide 20 Neutron Stars Very much smaller: (almost) invisible at optical, but can be seen in X-Rays if their surfaces are very hot Slide 21 Slide 22 Crab Nebula: supernova of 1054 Slide 23 Slide 24 Slide 25 Slide 26 There exist large numbers of compact objects in binary systems. These are powerful emitters of X-rays, many sources are concentrated near the Galactic plane. X-Ray Binaries: compact source orbiting a massive star Slide 27 Slide 28 Chandra (launched 1999): high-resolution X-ray map of the Galactic Centre Chandra has revealed many more X-ray binary sources in the Milky Way, globular clusters and external galaxies. Slide 29 XRBs: How do we get so much energy out? Need something approaching E = mc 2 Gravitational energy from accretion Slide 30 For how long might we expect such an X-ray binary source to shine?... Suppose we could completely annihilate a source of, say, So if we want a source lifetime of, say, we would need to extract around 10% of the sources rest mass energy (same efficiency would give longer lifetime for a less luminous source) Is this realistic? Energy source believed to be gravitational infall (accretion) of matter onto a neutron star from a binary companion. Energy yield / unit mass Slide 31 Matter falls in via an accretion disk. Some orbital angular momentum is lost by viscous friction. XRB luminosity comes from disk as well as the central source. Slide 32 Accretion Luminosity and the Eddington Limit If matter accretes at rate then we expect, at radius But if is large, the accretion process becomes self-limiting, because the emitted luminosity exerts a significant radiation pressure force on the infalling material. Consider a proton of mass at radius Radiation force Thomson cross-section Slide 33 Radiation force reduces the effective gravitational force to We can write this as where the critical, or Eddington, luminosity is Putting in some numbers we find that which is close to the maximum observed Slide 34 Pulsars Discovered by Jocelyn Bell, in 1965. Slide 35 Pulsars Discovered by Jocelyn Bell, in 1965. Extremely accurate clocks Rapidly rotating NS, with beams of radiation Slide 36 Pulsars Synchrotron radiation Slide 37 Pulsars Observe: High spin rate High B field Electron acceleration Slide 38 Binary neutron stars Very strong gravity provides a test of GR. Advance of periastron, Production of GWs Source of GRBs? Slide 39 Gravity in Einsteins Universe Gravity and acceleration are completely equivalent : both cause spacetime to become curved or warped Gravity is not a force propagating through space and time, but the result of mass (and energy) warping spacetime itself Slide 40 Gravity in Einsteins Universe Spacetime tells matter how to move, and matter tells spacetime how to curve Slide 41 Gravity in Einsteins Universe v Differences between Newtonian and Einsteinian gravity are tiny, but can be detected in the Solar System and Einstein always wins! Slide 42 Gravity in Einsteins Universe v 1. Precession of orbits observed for Mercury, matching GR prediction Slide 43 Gravity in Einsteins Universe v 1. Precession of orbits observed for Mercury, matching GR prediction 2. Bending of light close to the Sun visible during total eclipse, measured in 1919 Slide 44 Slide 45 Slide 46 Gravity in Einsteins Universe Ultimate case of light deflection = Black Hole: warps spacetime so much that light cant escape Slide 47 Pressure, P Density, N.R. Electron degeneracy pressure Rel. Electron degeneracy pressure N.R. Proton degeneracy pressure Rel. Proton degeneracy pressure Lines of central Pressure, constant mass A B C D E Slide 48 Evidence for stellar black holes from binary systems: e.g. Cygnus X-1 Inferred mass far exceeds OV limit Slide 49 Slide 50 Slide 51 Slide 52 Slide 53 Slide 54 Slide 55 Slide 56 Slide 57 Slide 58 Slide 59 Slide 60 Slide 61 Slide 62 Slide 63 Slide 64 Slide 65 Slide 66