Easy relativity 2: Correction to the pseudo-Newtonian potential

Computer Science – Sound

Scientific paper

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Black Holes, Relativistic Effects

Scientific paper

The pseudo-Newtonian potential is now widely used as a powerful tool to mimic the general relativistic effect around a Schwarzschild black hole. This potential enables high school students to calculate the relativistic phenomena. Under this potential, however, physical quantities often unphysically diverge at the Schwarzschild radius. This time, we introduce special and general relativistic corrections (Lorentz and metric corrections) on the velocities, and a special relativistic correction (Lorentz correction) on the sound speed.

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