General Relativity, Cosmology and Astrophysics

  • Kepler and Mach’s Principle
    • Introduction
    • Some Important Facts of Planetary Motion
    • Greek Planetary Astronomy
    • Copernicus
    • Kepler
    • Kepler’s Significance
    • Intermezzo: Christian Doppler
    • Mach and Kinematic Residues in Dynamics
    • Einstein’s Reaction to Mach
    • The Machian Approach: Shape Dynamics
  • Einstein in Prague: Relativity Then and Now.
    • Introduction
    • Why and How He was Invited to Prague
    • Days in Prague
    • The Principle of Equivalence
      • Gravitational Redshift Today
    • Bending of Light
    • Gravitational Lensing
  • Observers, Observables and Measurements in General Relativity
    • Introduction
    • Orthogonal Decompositions
    • Three-Dimensional Notation
    • Kinematics of the Observer’s Congruence
  • Some Links Between General Relativity and Other Parts of Physics
  • The General Relativistic Two Body Problem and the Effective One Body Formalism
  • Gravitational Self-Force: Orbital Mechanics Beyond Geodesic Motion
  • Hamiltonian Formalism for Spinning Black Holes in General Relativity
  • Stability of Marginally Outer Trapped Surfaces and Geometric Inequalities
  • Stationary Black-Hole Binaries: A Non-existence Proof
  • Dynamic and Thermodynamic Stability of Black Holes and Black Branes
  • Instability of Anti-de Sitter Spacetime
  • Higher-Dimensional Black Holes
  • Black Holes, Hidden Symmetry and Complete Integrability: Brief Review
  • Cosmological Models and Stability.
  • Inflation and Birth of Cosmological Perturbations
  • Loop Quantum Gravity and the Planck Regime of Cosmology
  • The Inflationary Origin of the Seeds of Cosmic Structure: Quantum Theory and the Need for Novel Physics.
  • Quantum Gravity: The View From Particle Physics .
  • Instabilities of Relativistic Stars
  • Gravity Talks: Observing the Universe with Gravitational Waves.
  • LISA in 2012 and Beyond: 20 Years After the First Proposal .
  • Einstein’s Gravity as Seen by a Cosmic Lighthouse Keeper
  • The Astrophysical Signatures of Black Holes: The Horizon, The ISCO, The Ergosphere and The Light Circle.
  • Energy Extraction from Spinning Black Holes Via Relativistic Jets.