B
boobinhard
Guest
In relativity c=G=1, the following tortoise coordinate is commonly used:
r* = r + M * ln( r / 2M - 1)
where r > 2M is the physical coordinate and r* is the tortoise coordinate. Here M is the mass of the black hole and r = 2M is the size of the event horizon . Let ri* E r* E [R-inf,Rinf], Rinf > 0, R-inf < 0
and
ri* = R-inf + (i - 1)delta(r), i = 1,...,N, delta(r) = (Rinf - R-inf)/(N - 1)
use both bisection and Netwon's method to find R = r from r*
NOTE: Let residue = abs(R*-r*) where
R* = R + M*ln(R / 2M - 1)
Use the bisection method and Newtons method to find R = r for residue <= 10^-p where p = 4,6,8,10,12,14,16
I know how to do newtons method and bisection method I have no clue what the equation is this guy wants me to do it for nor do i have any idea what R*-r* will be if they are the exact same questions
r* = r + M * ln( r / 2M - 1)
where r > 2M is the physical coordinate and r* is the tortoise coordinate. Here M is the mass of the black hole and r = 2M is the size of the event horizon . Let ri* E r* E [R-inf,Rinf], Rinf > 0, R-inf < 0
and
ri* = R-inf + (i - 1)delta(r), i = 1,...,N, delta(r) = (Rinf - R-inf)/(N - 1)
use both bisection and Netwon's method to find R = r from r*
NOTE: Let residue = abs(R*-r*) where
R* = R + M*ln(R / 2M - 1)
Use the bisection method and Newtons method to find R = r for residue <= 10^-p where p = 4,6,8,10,12,14,16
I know how to do newtons method and bisection method I have no clue what the equation is this guy wants me to do it for nor do i have any idea what R*-r* will be if they are the exact same questions