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Black Holes: Physics, Structure, and Theory

1Introduction to Black Holes and Historical Context2Foundations of General Relativity3The Schwarzschild Solution4Geometry of Spacetime and Tidal Forces5Rotating Black Holes: The Kerr Metric6Black Hole Thermodynamics7Hawking Radiation and Quantum Effects8The Information Paradox9Formation and Astrophysical Evidence10Direct Imaging and Future Horizons
Formation and Astrophysical Evidence

X-Ray Binaries and Mass Measurement

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We identify black holes in binaries by weighing their invisible partners. Take Cygnus X-1: a blue supergiant orbits an unseen object. Calculations reveal that unseen object weighs about 21 times the mass of our Sun. Since no neutron star can support that much mass, it must be a black hole.
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Measuring Invisible Mass

In an X-ray binary system, a visible star orbits an invisible compact object. By measuring the visible star's orbital velocity and period, we can calculate the mass of the invisible companion using Kepler's laws. If this mass exceeds the TOV limit, it must be a black hole.

Cygnus X-1

Cygnus X-1 was the first widely accepted black hole candidate. Observations showed a blue supergiant orbiting an invisible companion with a mass of approximately 21 solar masses, far exceeding the neutron star limit.

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