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Astronomy & space · Advanced university

Black holes, horizons and observable environments · revision notes

For a nonrotating uncharged black hole, the horizon radius is rs=2GM/c². Rotation and charge require a different spacetime description.

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Key ideas and conditions

Schwarzschild model

For a nonrotating uncharged black hole, the horizon radius is rs=2GM/c². Rotation and charge require a different spacetime description.

Horizon

The horizon is a causal boundary, not the bright accretion disk or a solid shell. Signals from inside do not reach distant outside observers.

Evidence

Motion of nearby matter, accretion emission, gravitational waves and horizon-scale imaging constrain models through different observations.

Limits

A simple horizon-radius calculation does not describe the complete interior, accretion flow, jet or quantum-gravity problem.

Explain without looking

  1. Using rs≈3 km per solar mass as a stated rough scale, estimate rs for 10 solar masses.
  2. Name two independent observational approaches to studying black-hole systems.

Further reading and review references

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