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White Dwarf Stars The burnt-out cores of low mass, post-main sequence stars As cores contract, the density goes to “astronomical” levels, matter acts in funny ways • Gas in this room, the “perfect gas law” PV=nRT. Pressure depends on both density and temperature • Extremely dense, “degenerate” gas PV=Kn. Pressure depends only on density • Demo The structure of a star: a balance between gravity and gas pressure Self gravity Gas pressure Technical term: hydrostatic equilibrium radius Equations give radius of white dwarf as a function of its mass mass What one might expect for how R depends on M What the solution really is for a white dwarf star Main features to note about white dwarf solution • Note the size: objects with masses like the sun, but radii like the Earth • The size becomes smaller with increasing mass • There is an upper limit (the Chandrasekhar mass) to the mass of a white dwarf Point to emphasize: white dwarfs are real! Many white dwarfs have been cataloged http://www.astronomy.villanova.edu/WDCatalog/index.html Note in particular 40 Eridani B, which is in The sky now, and can be seen with small telescopes More information on 40 Eridani B All Star Line Up.webarchive What happens to massive stars? Cores are chemically differentiated And too massive to be held up By electron degeneracy force… The cores collapse Core collapse of a massive star has two consequences • Massive explosion (1044 Joules) • Production of a neutron star Formation of a neutron star from stellar core • As core collapses, matter becomes compressed • Electrons and protons forced together e+p > n + nu (neutronization) • Core of the becomes a neutron fluid • Neutronization produces a burst of neutrinos • Neutron fluid in core becomes degenerate and rigid The physics of a self-gravitating neutron blob (neutron star) • Radius versus mass relation for neutron star • Notice size of neutron star • Masses extend above Chandrasekhar limit Theoretical prediction of the existence of a neutron star • The remnant after the explosion of a massive star • An object having the mass of the Sun (or more) but in an object with the diameter of Iowa City! • An equivalent to the Chandrasekhar mass (largest possible mass of a neutron star) • Do they exist?