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Black Holes and Neutron Stars Dead Stars Copyright – A. Hobart 12 Goals • What are black holes? • How do we see black holes? • What happens when black holes are in binaries? • Supermassive Black Holes 12 Concept Test • Which of the following lists, in the correct order, a possible evolutionary path for a star? a. Red Giant, Neutron Star, White Dwarf, Nothing b. Red Giant, White Dwarf, Black Hole c. Red Giant, Supernova, Planetary Nebula, Neutron Star d. Red Giant, Planetary Nebula, White Dwarf e. Red Giant, Planetary Nebula, Black Hole 12 Density • Density = mass per volume • From Red Giant cores to White Dwarfs to Neutron Stars, density has been increasing. • As density increases, the force of gravity on the surface increases. • The greater the force, the higher the escape velocity: – How fast you need to go in order to escape the surface. • How dense can something get? • How strong can the force of gravity be? • What if the escape velocity is faster than light? 12 Singularity • When a high-mass star’s core is greater than ~3 x Msun, then, when it collapses, neutron degeneracy pressure can’t balance gravity. • The star collapses to form a singularity. • No size at all. • Density infinite. • Escape velocity > c 12 Black Hole Diagram Singularity Event Horizon . Schwarzschild Radius 12 Schwarzschild Radius • Distance from object where vesc > c Object Earth Jupiter Sun Mass Radius cm 1M R S 3km M Sun 300 x Earth 3m 6 x 1024 kg 300,000 x Earth 3 km 12 Concept Test • A black hole is best defined as: a. a star which sucks all matter into itself. b. a window to another Universe. c. any object which is smaller than its event horizon. d. the final result of all stellar evolution. e. none of the above 12 Seeing Holes • Can’t see black hole itself, but can see matter falling into a hole. • Gravitational forces stretch and rip matter: heats up. • Very hot objects emit in X-rays (interior of Sun) • Cygnus X-1. http://www.owlnet.rice.edu/~spac250/steve/ident.html 12 Binaries • Gravitational tides pull matter off big low density objects towards small high density objects. Cygnus X-1 12 Holes Don’t Suck • Newton’s Laws of gravity only depend on mass and separation. • Kepler’s Laws of orbits only depend on mass and separation. • At 1 AU, force of gravity from a 1 Msol B.H. is same as from a 1 Msol star. • At surface of each, force of gavity is very different! 12 Tides Mm Fgravity G 2 d M M m m m m m m • While each m is attracted to each other m, the difference in force from M is greater. • The closer you are to the object M, the more extreme this is! 12 Accretion disk Tides Frictional Heating 12 Concept Test • We can see X-rays from black holes because? a. X-rays are more energetic than visible light and so can escape from the event horizon. b. X-rays can pass through ordinary matter showing us things we can’t normally see. c. Light given off by objects as they enter the event horizon are gravitationally redshifted to X-rays. d. Material flowing into a black hole is heated so much that the thermal radiation peaks in X-rays. e. None of the above 12 Cygnus X-1 • 1970s • Intense source X-rays. • “Near” star HDE226868. 12 HDE226868 • Doppler shifts of HDE226868 • Like before, we get mass of star and unseen companion. Separation ( AU ) Period ( yrs ) Total Mass 3 2 12 The Companion • Result: Period = 5.6 days Total Mass ~ 28 x Msun • From spectral type of HDE226868 we estimate its mass ~18 Msun. • Companion M = 10 Msun! • Massive! • But where is its light? • Dark! • Can’t be a normal star, or even neutron star. 12 X-ray Source? • Star brightness fluctuates every 5.6 days. • X-rays drop off every 5.6 days! • Companion must be source of X-rays! • REH = 30 km! R EH M 3km MSun 12 Supermassive Black Holes Distance • Photograph the center of a galaxy. Velocity • Make spectrum of light from center. 12 Heart of Darkness • From Doppler shift get a velocity. • From picture get a separation. • From Kepler’s Laws get a Total Mass. Separation ( AU ) Period ( yrs ) Total Mass 3 2 12 The Dark Truth • Observe: V = 400 km/s within 26 LY of center. • So: Separation ( AU )3 2 Period ( yrs ) – Period = 121,600 yrs – Separation = 26 LY = 1,600,000 AU • Total Mass in central pixel: 300,000,000 x Mass of Sun! • But where’s all the light? • Small, massive, dark black hole? • REH = 6.5 AU! Total Mass 12 For next week • • • For 3/14: Review for Exam #2 For 3/14 after class: re-air Cosmos Chapter 9 For 3/16: Exam #2 12