Physics / research
Gravitational radiation from sources to signals
Develop gravitational-wave dynamics, source multipoles, binary approximations, and detector responses before comparing waveform predictions with measured strain.
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Module 01 research
Gravitational radiation from sources to signals
Develop gravitational-wave dynamics, source multipoles, binary approximations, and detector responses before comparing waveform predictions with measured strain.
- 01
Linearized Einstein equations and gauge freedom
Separate weak metric perturbations, coordinate freedom, and radiative curvature using an explicit signature and trace-reversal convention.
31 min - 02
Transverse-traceless polarizations
Identify the two tensor polarizations, their spin-two basis rotation, and the orientation dependence of a leading circular-binary strain.
31 min - 03
Geodesic deviation and strain response
Relate TT curvature to relative acceleration and long-wavelength interferometer response without confusing coordinate motion with measured light phase.
31 min - 04
Quadrupole radiation and energy flux
Connect a slowly moving source quadrupole to far-zone TT strain and correctly normalized cycle-averaged energy transport.
33 min - 05
Binary inspiral chirp mass
Derive the leading frequency sweep from orbital energy balance and separate observer-frame chirp mass from source masses and distance.
33 min - 06
Post-Newtonian expansion and radiation reaction
Organize circular-binary corrections with an invariant frequency parameter and distinguish conservative dynamics, averaged flux and dissipative reaction.
33 min - 07
Effective-one-body binary dynamics
Explain the effective Hamiltonian and energy map, recover a test-mass stability limit, and separate resummation choices from exact two-body geometry.
33 min - 08
Black-hole quasinormal modes
Interpret complex ringdown frequencies with specified time dependence and boundary conditions, and separate mode scaling from a full remnant inference.
33 min - 09
Interferometer antenna patterns
Contract polarization tensors with a detector geometry, define sky/basis conventions and distinguish angular sensitivity from network localization.
32 min - 10
Matched filtering and waveform systematics
Define a noise-weighted waveform comparison with a one-sided PSD and distinguish signal recovery, parameter bias and model validation.
34 min