General Relativity

1. Physical Implications
   1. Black Holes
      1. Event Horizon
         1. Definition and properties
         2. Role in information paradox
         3. Observational techniques
      2. Singularity
         1. Mathematical description
         2. Physical interpretation
         3. Challenges in understanding singularities
      3. Hawking Radiation
         1. Quantum mechanical predictions
         2. Implications for black hole evaporation
         3. Observational challenges
      4. Black Hole Thermodynamics
         1. Laws of black hole thermodynamics
         2. Entropy and information paradox
         3. Analogies with classical thermodynamics
      5. Penrose Process
         1. Energy extraction mechanisms
         2. Relevance to rotating black holes
         3. Application in astrophysical phenomena
   2. Gravitational Waves
      1. Detection Methods
         1. Ground-based detectors (LIGO, Virgo)
         2. Space-based detectors (LISA)
         3. Alternative detection methods (pulsar timing arrays)
      2. Astrophysical Sources
         1. Binary black hole mergers
         2. Neutron star collisions
         3. Supernovae and other stellar events
      3. Impact on Astrophysics
         1. New astronomical phenomena insights
         2. Universe structure and composition
         3. Testing general relativity in strong fields
   3. Cosmology
      1. Big Bang Theory
         1. Observational evidence and supporting data
         2. Cosmic timeline and major events
         3. Alternative models and theories
      2. Expansion of the Universe
         1. Hubble's law and redshift
         2. Dark energy and accelerated expansion
         3. Implications for the ultimate fate of the universe
      3. Dark Energy and Dark Matter
         1. Observational evidence
         2. Theoretical models and implications
         3. Impact on galaxy formation and evolution
      4. Cosmic Microwave Background Radiation
         1. Discovery and significance
         2. Anisotropies and what they reveal
         3. Technology and methods of observation
      5. Inflation
         1. Theoretical foundation and justification
         2. Restarting the inflationary period models
         3. Observational consequences and tests
   4. Observational and Experimental Tests
      1. Gravitational Lensing
         1. Types (strong, weak, microlensing)
         2. Uses in cosmology and astronomy
         3. Detecting dark matter and mapping mass distributions
      2. Perihelion Precession of Mercury
         1. Historical context and significance
         2. Comparison with Newtonian predictions
      3. Gravitational Redshift
         1. Experimental confirmations
         2. Impacts on timekeeping and GPS technology
      4. Time Dilation Experiments
         1. Satellite experiments and applications
         2. Confirmation through high-precision clocks
   5. Technological and Philosophical Impacts
      1. Effects on Technology
         1. Practical navigation systems (e.g., GPS)
         2. Advances in optical and timing technologies
      2. Influence on Philosophy
         1. New understandings of space-time
         2. Implications for determinism and predictability