Essential Cosmological Perturbation Theory by David Wands

Explore essential cosmological perturbation theory in this comprehensive lecture by David Wands from the International Centre for Theoretical Sciences. Delve into the cosmological standard model, probes of cosmological perturbations, and the composition of the cosmos today. Examine Friedmann's dynamic cosmology and waves in an expanding universe. Investigate metric perturbations, including gravitational waves and vector perturbations. Analyze linear gauge transformation rules and their implications for gauge dependence. Study linear perturbation dynamics, adiabatic perturbations, and the ζN formalism for primordial density fluctuations. Discover models for the origin of cosmic structure, including passive models and single-field scenarios. Gain insights into higher-order correlators and their significance in cosmology.

Syllabus

Essential cosmological perturbation theory
ACG
cosmological standard model
probes of cosmological perturbations
COMPOSITION OF THE COSMOS TODAY
Friedmann's dynamic cosmology
waves in an expanding universe Sp + 3Hop +Cs / 22 8p =
cosmological perturbation theory
understanding metric perturbations
waves in an expanding universe
Metric perturbations
Gravitational waves e.g., ogij o q +
Vector perturbations
Scalar metric perturbations
Linear gauge transformation rules Coordinate change: time-slicing: -+ T+STT, X
Gauge dependence
Linear gauge transformation rules Coordinate change:
FRW cosmology preferred coordinates for homogeneous and
Linear perturbation dynamics:
adiabatic perturbations uniform-density and
ON formalism for primordial density fluctuations
more information in higher-order correlators...
models for origin of cosmic structure passive models single field
conclusions
Vector perturbations