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ASTRO 101: Black Holes Module 6 $2.56
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ASTRO 101: Black Holes Module 6

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Notes for ASTRO 101 based on the official Coursera videos for the class. Covers Module 6.

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  • 31 december 2024
  • 9
  • 2024/2025
  • College aantekeningen
  • Gregory sivakoff
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‭Module 6‬

‭Definitions:‬
‭●‬ ‭Event Horizon‬‭: A boundary that separates the inside‬‭of a black hole from the‬
‭outside, marking the point of no return for any material or light that crosses it.‬
‭●‬ ‭Comparison to Sun's Surface‬‭: Stars, like the Sun,‬‭don't have a defined surface,‬
‭but the outermost layer is called the photosphere, which we see in visible light.‬
‭Beyond this, there are faint layers like the chromosphere and corona.‬
‭●‬ ‭Black Hole Surface‬‭: Black holes don’t have a traditional‬‭surface but have an event‬
‭horizon, which is the defined boundary.‬
‭●‬ ‭Hydrostatic Equilibrium‬‭: The balance between gravitational‬‭force and gas‬
‭pressure in stars. Inside a black hole’s event horizon, gravity overwhelms gas‬
‭pressure, leading to a collapse.‬
‭●‬ ‭Gravitational Effects‬‭: Light is bent by the mass of‬‭a black hole, similar to how a‬
‭ball’s path curves on a stretched sheet. The closer the light gets to the black hole,‬
‭the more it curves.‬
‭●‬ ‭Schwarzschild Radius‬‭: The radius of a non-rotating‬‭black hole’s event horizon,‬
‭which depends on the mass of the black hole. For the Sun, it’s 3 km, and it scales‬
‭linearly with the black hole’s mass.‬
‭●‬ ‭Black Hole Size and Mass‬‭: Larger black holes have‬‭larger event horizons. The‬
‭event horizon of a black hole 15 times the mass of the Sun would be 45 km, while a‬
‭supermassive black hole’s event horizon could be millions of kilometers.‬
‭●‬ ‭Tidal Forces‬‭: For supermassive black holes, tidal‬‭forces are weaker, making them‬
‭safer for exploration. A black hole must be at least 1,000 times the Sun’s mass for a‬
‭safe visit.‬
‭●‬ ‭Photon Sphere‬‭: A region around a black hole where‬‭light can travel in unstable‬
‭circular orbits. This sphere is 1.5 times the size of the event horizon.‬
‭●‬ ‭Ring of Fire‬‭: The bright ring formed by photons trapped‬‭in circular orbits around a‬
‭black hole, seen by observers as light escapes the photon sphere.‬
‭●‬ ‭Black Hole Shadow‬‭: The dark region outside the event‬‭horizon, where no light‬
‭escapes, forming a shadow around the black hole.‬
‭●‬ ‭Gravitational Time Dilation‬‭: An astronaut falling‬‭into a black hole would‬
‭experience time normally, but an outside observer would see their time stretch‬
‭infinitely as they approach the event horizon.‬
‭●‬ ‭One-Way Nature of Event Horizon‬‭: The event horizon‬‭is a "one-way street" where‬
‭light can enter but cannot escape, making it difficult to observe what happens‬
‭inside.‬

, ‭●‬ ‭Danger of Crossing the Event Horizon‬‭: There's no visible marker for the event‬
‭horizon, making it easy to cross accidentally, but it's extremely dangerous due to‬
‭extreme tidal forces.‬
‭●‬ ‭Black Hole Interior‬‭: No information can escape from‬‭inside the event horizon, so‬
‭the interior remains a mystery. The singularity at the center is theorized to have‬
‭extreme physical properties.‬
‭●‬ ‭Cosmic Censorship Hypothesis‬‭: A theory that suggests‬‭the event horizon shields‬
‭us from seeing the singularity, a concept still under investigation in theoretical‬
‭physics.‬



‭The Singularity:‬

‭●‬ ‭Traveling Past the Event Horizon of a Black Hole:‬
‭○‬ ‭Choose a supermassive black hole to avoid tidal forces.‬
‭○‬ ‭Once past the event horizon, we enter the strange interior of a black hole.‬
‭○‬ ‭Although we can't send information back to the universe, observers inside‬
‭can make scientific discoveries.‬
‭●‬ ‭Light and Space-Time Inside the Event Horizon:‬
‭○‬ ‭Inside a black hole, it's not dark; light emitted from outside is still visible.‬
‭○‬ ‭Any light inside the event horizon always points inward, towards the black‬
‭hole's singularity.‬
‭○‬ ‭Radial distance and time dimensions switch roles inside the event horizon:‬
‭moving towards smaller radius values is akin to moving forward in time.‬
‭○‬ ‭Escaping the black hole is impossible as this would require moving‬
‭backwards in time.‬
‭●‬ ‭Black Hole Interior and Space-Time Diagrams:‬
‭○‬ ‭A collapsing star forms a black hole, represented by a time-space diagram.‬
‭○‬ ‭The event horizon forms as the star collapses to the Schwarzschild radius.‬
‭○‬ ‭Penrose diagrams help visualize the interior of black holes, highlighting‬
‭time and space dimensions.‬
‭●‬ ‭Time and Gravity Inside a Black Hole:‬
‭○‬ ‭Once inside, objects inevitably move towards the singularity at r=0.‬
‭○‬ ‭The time to fall from the event horizon to the singularity varies with black‬
‭hole mass.‬
‭○‬ ‭For supermassive black holes, one could have hours to fall, while for‬
‭smaller ones, it’s just milliseconds.‬

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