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White dwarfs, neutron stars, and dense matter
Connect degenerate matter and relativistic stellar structure to compact-object masses, cooling, pulsars, tides, and constraints on uncertain dense-matter physics.
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Module 01 research
White dwarfs, neutron stars, and dense matter
Connect degenerate matter and relativistic stellar structure to compact-object masses, cooling, pulsars, tides, and constraints on uncertain dense-matter physics.
- 01
Support a white dwarf with occupied electron states
Connect Fermi momentum, composition, and nonrelativistic electron pressure to Newtonian hydrostatic support.
24 min - 02
Find the limiting mass of an ideal relativistic electron star
Explain the four-thirds polytrope and the composition dependence of the ideal Chandrasekhar mass.
24 min - 03
Balance a spherical relativistic star
Define the TOV initial-value problem and identify pressure, energy density, curvature, and boundary conditions.
24 min - 04
Test a dense-matter equation of state
Separate thermodynamic consistency, local sound speed, stellar stability, and observational mass constraints.
24 min - 05
Solve chemical and charge constraints together
Relate beta equilibrium, lepton populations, symmetry energy, and the direct-Urca momentum threshold.
24 min - 06
Infer rotational losses without assuming a vacuum magnetosphere
Connect pulse timing to rotational energy while exposing torque, inclination, and age assumptions.
24 min - 07
Connect internal cooling to an observed thermal spectrum
Compare neutrino channels, pairing effects, thermal envelopes, and gravitational redshift without assigning a unique composition from one temperature.
24 min - 08
Account for angular momentum during a pulsar glitch
Connect superfluid vortices, a rotating crust, and rapid angular-momentum transfer while retaining coupling and entrainment uncertainty.
24 min - 09
Translate tidal response into binary constraints
Normalize Love numbers and dimensionless deformability, then distinguish a waveform constraint from a unique stellar radius.
24 min - 10
Test a proposed dense-matter transition against several observables
Connect equilibrium jumps and onset stability to conditional multimessenger inference, without equating a suggestive posterior with a detected phase.
24 min