Chapter 12



Collapsing, Exploding, Interacting Stars, and Stellar Black Holes




Deaths of High Mass Stars:



10 - 100 solar masses

Successive fusion of heavier elements in core, then shells



Layered shells of fusing elements



Silicon burning (fusion) produces iron


Iron core - fusion stops


Iron fusion is endothermic


Core contracts, heats


Shell fusion continues


Calculations suggest core collapse at iron mass ~ 2 Msun


Core more massive than Chandrasekhar limit


Electron degeneracy cannot stop collapse


Electrons + protons => neutrons + neutrinos


Neutron degeneracy pressure stops collapse if remaining mass less than 2-3 solar masses


Neutron star - radius ~ 10 km

density ~ 4 x 1017 kg/m3


Outer layers fall inward


"Bounce" on hot core


Star's outer layers ejected



Dramatic increase in optical luminosity



Most of energy released as neutrinos



Fusion in outer layers - elements heavier than iron produced



Type I supernova - weak or absent H lines in spectra



Type II supernova - strong H lines in spectrum



Massive star core collapse supernova: Type Ib, Type Ic, Type II



Type Ia - brighter than Type II



Explosion of white dwarf at Chandrasekhar limit due to mass transfer in a binary system



Models predict star completely destroyed



Type Ia used in cosmology studies



Supernova Remnant


Expanding shell of gas + surrounding material



Visible ~104 years



Synchrotron radiation - emitted by electrons spiraling around magnetic field lines in shell



Examples - Crab nebula, Vela remnant

SN 1987A - Type II

First modern, nearby supernova
(Large Magellanic Cloud)


Neutrinos observed before visible light - as predicted


Neutron star predicted



Neutron Stars and Pulsars


Predicted 1932 - Baade, Zwicky, Landau

Discovered 1967 - Bell, Hewish


Radio sources emitting short, regular pulses (pulsars)


From conservation of angular momentum, neutron stars rotate ~ 1 rotation/sec


Magnetic field strength also conserved => very strong magnetic fields on neutron stars


Tsurface ~ 106 K


Lighthouse theory:


Electric field accelerates electrons.


Electrons emit beamed photons along magnetic axis (synchrotron radiation).


Magnetic, rotation axes not aligned.


Photon beam rotates across line-of-sight.


Pulses in gamma rays to radio, depends on electron energy and magnetic field strength (Crab and Vela pulsars)


Slowing rotation, sudden period changes support lighthouse theory.



Millisecond pulsars - old neutron stars in close binaries


Spun up by mass transfer from evolving companion


Collapsed Objects in Close Binaries


Nova - luminosity increases ~106,
returns to normal



Binary companion transfers mass to accretion disk around white dwarf



Matter accumulates on white dwarf.



Explodes as nova.

Shell of 0.0001 Msun ejected.


Recurs 10,000 - 100,000 years.




Neutron stars in binary systems


Mass transfer to neutron star directly or via accretion disk

T ~ 10 - 100 x 106 K

Strong x-ray emission

X-ray bursters - bursts of x-rays, due to repeated ignition of accumulating He on neutron star

Binary Pulsars

2 neutron stars


Orbit shrinking.


Gravitational waves - disturbance in space-time due to motion of mass.


Travel at c

Energy lost due to gravitational waves

First observation of effect of gravity waves


Black Holes


Region of space where escape velocity greater than speed of light.


Receive no information from inside


Produced by large mass in small volume


Schwarzschild radius - characteristic size of black hole


Rs = 2 x G x M/c2


Example: 1 Msun black hole, R = 3 km.


Generally: R (km) = 3 x M (solar masses)


Mass of collapsing core greater than maximum mass of neutron star, ~3Msun


Degenerate electrons, neutrons can't support


Collapses to singularity


Infinite density, gravity


Zero radius.


BUT PHYSICS NOT UNDERSTOOD.


Singularity would be INSIDE black hole.


The Event Horizon


Theoretical black hole properties: mass, angular momentum, electric charge


Schwarzschild black holes only have mass


Event horizon - sphere with Schwarzschild radius


Nothing escapes from within event horizon


Material can fall in to black hole


Tidal effects strong at event horizon of stellar mass black holes


Time dilation - clocks run more slowly in strong gravitational fields, as observed remotely


To remote observer, in principle, infalling material appears to linger at edge 'forever' while material in fact falls in.


But due to large gravitational redshift, material disappears anyway.


Kerr black holes rotate

Theory suggests:

Two event horizons


Ergosphere - volume between


Part of an object can escape from ergosphere - with added energy


Can't escape from within inner event horizon

Matter falling into black holes emits large amounts of energy - x-rays


Detecting black holes


Detected by impact on nearby matter


E.g. binary star with massive, invisible companion


In close binary, accretion disk emitting x-rays suggests compact object, possibly a black hole, if mass > 3 solar masses.


Look for binary stars emitting X-rays


Mass estimates difficult


Several stellar mass black hole candidates


Prof. Donna Weistrop

University of Nevada, Las Vegas