Reading and Research in Mathematics

Topics

• – Physics in the curved spacetime
• – Einstein’s equations
• – The cosmological constant
• – Energy conditions
• – The equivalence principle
• – Alternative theories
• – The Schwarzschild solution
• – Schwarzschild metric
• – Birkhoff’s theorem
• – Singularities
• – Geodesics of Schwarzschild
• – Schwarzschild black holes
• – Stars and black holes
• – The black hole zoo
• – Event horizons
• – Mass, charge, and spin
• – Charged black holes
• – Rotating black holes
• – Penrose process
• – Black hole thermodynamics