Cosmological Perturbation Theory - Lecture 2

Delve into the intricacies of cosmological perturbation theory in this comprehensive lecture by David Wands from the International Centre for Theoretical Sciences. Explore key concepts such as metric perturbations, gravitational waves, and vector perturbations. Gain a deep understanding of scalar metric perturbations and their geometrical interpretation. Examine gauge dependence, linear gauge transformation rules, and various gauge-invariant variables. Learn about different gauges including longitudinal, comoving-orthogonal, uniform-density, and spatially-flat. Investigate energy-momentum conservation and the relationships between gauge-invariant variables. Conclude with a Q&A session to reinforce your understanding of these advanced cosmological concepts.

Cosmological perturbation theory
Lecture 2
Metric perturbations
Gravitational waves
Vector perturbations
Scalar metric perturbations
Geometrical interpretation
Vector perturbations
Gravitational waves
Gauge dependence
Linear gauge transformation rules
Linear gauge transformation rules
Gauge-invariant variables
Longitudinal gauge/Conformal Newtonian
Linear gauge transformation rules
Comoving-orthogonal gauge
Uniform-density gauge
Uniform-alpha-density gauge
Spatially-flat gauge
Energy-momentum conservation
Relating gauge-invariant variables
Q&A