Use the Euler-Lagrange equations to show that the equation for
radial infall into a Schwarzschild
black hole can be written as:
where E is a constant (energy per unit mass of the particle) and
τ is the proper time. Set
the speed of light c = 1.
Use The Euler Lagrange Equations To Show That The Equation For Radial Infall Into A Schwarzschild Black Hole Can Be Writ 1 (48.27 KiB) Viewed 22 times
a Use the Euler-Lagrange equations to show that the equation for radial infall into a Schwarzschild black hole can be written as dr 2M 1/2 - (E? -1+ + ) dt r where E is a constant (energy per unit mass of the particle) and t is the proper time. Set the speed of light c= = 1.
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