Effective Potential of a Black Hole Metric

mass

M

1

angular momentum

L

0

charge

Q

0

cosmological constant

Λ

0

null or time paths

ϵ

1

plot range

10

This Demonstration shows the effective potential of a black hole of given mass and charge as a function of the radius. The variable

ϵ

gives null paths for the value 0 and time-like paths for the value 1. If the angular momentum is zero, then by setting

ϵ=2

, the effective potential is the negative of the time component of the diagonal metric tensor.