Gravitational Waves
Gravitational Waves
2018
We study gravitational waves in the context of the weak field limit.
Here is the pdf:
Lesson10-2018.pdf
Here is a presentation made at LHO on the History of Gravitational Wave Detection:
History-GW_2018.pdf
Homework:
From Schutz, Chapter 9:
Everybody:
1) 9,
2) 10a,
3) 13,
4)Changing coordinates from the metric
ds2 =-dt2 +{1+Asin[ω(t-z)]}dx2 +{1-Asin[ω(t-z)]}dy2 +dz2
with this:
X = {1 + (1/2)Asin(ω t)}x Y = {1- (1/2)Asin(ω t)}y
Prove that a ring of particles in the plane perpendicular to the direction of propagation of the wave evolves with time like an ellipse as the wave travels through it. Calculate the semimajor and semiminor axis as a function of time in terms of the relevant coefficient of the metric.
Graduates:
5) From the metric:
ds2 =-dt2 +{1+Asin[ω(t-z)]}dx2 +{1-Asin[ω(t-z)]}dy2 +dz2
calculate the deviation δxi(λ) for a photon that is sent from one test particle to the other.
6) 31
Lesson 10
10/23/18
Time Domain frequency plot of a gravitational wave detected at the LIGO interferometers.