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Course

PHYS-428: Relativity and cosmology II

Lectures in this course (59)

Scalar, Vector or Tensor? Gravity

Discusses defining tensors, space-time dimensionality, and challenges in formulating a relativistic theory of gravity.

Christoffel Symbols and Gravity Before Einstein

Introduces Christoffel symbols and gravity concepts before Einstein, discussing mathematical tensors and the Nobel Prize in Physics.

Big Bang Theory Foundations

Explores the foundations of the Big Bang Theory, including thermal equilibrium, radiation-dominated stage, and the prediction of the Cosmic Microwave Background (CMB).

Gravitational Field Equations

Covers the formulation of gravitational field equations and the motion of particles in gravitational fields.

Neutrino Decoupling in Early Universe

Explores neutrino decoupling in the early universe and its implications on cosmic evolution.

Flat Space-Time: Conditions and Theorems

Covers the necessary conditions and theorems to have flat space-time and discusses the symmetry properties of the Riemann tensor.

Cosmological Constraints on Neutrino Masses

Explores Boltzmann H-theorem, entropy conservation, neutrino freezing, nucleosynthesis, and cosmological constraints.

General Covariance in Gravitational Field

Explores general covariance, Riemann tensor, Bianchi identities, and Einstein tensor in gravitational field.

Nucleosynthesis and Neutrino Decoupling

Explores entropy evolution, temperature changes, element creation, and neutrino decoupling in the early Universe.

Einstein Equations

Explores the Bianchi identity, Einstein tensor, and action principle for fields.

Baryon Asymmetry and Particle Physics

Explores nucleosynthesis, baryon asymmetry, CP violation, and the stability of the proton in particle physics.

Einstein Equations

Covers the derivation of Einstein equations and the Schwarzschild metric.

Relativity and Cosmology: Introduction

Introduces the concepts of relativity and cosmology, covering the Big Bang Theory, general relativity, and statistical physics.

Dark Matter Candidates

Explores dark matter candidates like sterile neutrinos, axions, and WIMPs, discussing their properties and implications on the Universe.

Einstein's Equations: Relativistic Mechanics

Covers Einstein's equations in non-relativistic limit and the Schwarzschild metric.

Deflection of Light: Observations and Methods

Explores the deflection of light by gravity and methods for studying matter distribution.

Inflation and Cosmology

Explores inflation, quantum fluctuations, scalar fields, and their impact on the universe's structure formation.

Gravitational Red-Shift and Escape Velocity

Covers the discovery of integrals of motion and the analysis of escape velocity and gravitational red-shift.

Inflationary Theory: Structure Formation

Discusses the inflationary theory as a solution to initial condition problems in the universe, covering scalar fields, density perturbations, and basic equations.

Gravitational Waves

Explores gravitational waves, black hole properties, and their implications in astrophysics.