summaryrefslogtreecommitdiffstats
path: root/physics/gravitational-waves.page
diff options
context:
space:
mode:
authorbnewbold <bnewbold@robocracy.org>2016-06-11 18:55:15 -0400
committerbnewbold <bnewbold@robocracy.org>2016-06-11 19:01:12 -0400
commit73884c965a489f53edfcf23ec4050ad0248685ce (patch)
tree0f1ddb66393077d0284fbeb9e1fe839535c8dd21 /physics/gravitational-waves.page
parent2632bfadcfa505a4d5b31f5cb63495e3dec4a57b (diff)
downloadknowledge-73884c965a489f53edfcf23ec4050ad0248685ce.tar.gz
knowledge-73884c965a489f53edfcf23ec4050ad0248685ce.zip
tweak physics syntax
Diffstat (limited to 'physics/gravitational-waves.page')
-rw-r--r--physics/gravitational-waves.page29
1 files changed, 12 insertions, 17 deletions
diff --git a/physics/gravitational-waves.page b/physics/gravitational-waves.page
index c853e2b..4466e37 100644
--- a/physics/gravitational-waves.page
+++ b/physics/gravitational-waves.page
@@ -1,30 +1,24 @@
---
-format: rst
-categories: physics
toc: no
+title: Gravitational Waves
...
-=======================
-Gravitational Waves
-=======================
-
.. warning:: This is a rough work in progress!! Likely to be factual errors, poor grammar, etc.
-.. note:: Most of this content is based on a 2002 Caltech course taught by
- Kip Thorn [PH237]_
+.. note: Most of this content is based on a 2002 Caltech course taught by Kip Thorn [PH237]
Raw Info
-----------------
Rank 4 Riemann tensors, will cover different gauge.
+
Waves are double integrals of curvature tensor...
-
Gravitons as Quantum Particles
---------------------------------
Invariance angles: (Spin of quantum particle) = $2 pi$ / (invariance angle)
-Graviton has $\pi$ invariance angle, so it is spin 2; photons have unique $\arrow{E}$ vector, so invariance angle is $2\pi$, spin 1
+Graviton has $\pi$ invariance angle, so it is spin 2; photons have unique $\vec{E}$ vector, so invariance angle is $2\pi$, spin 1
Also describes spin by the group of Lorentz transformations which effect propagation.
@@ -34,13 +28,13 @@ Waves' multipole order $\geq$ spin of quantum = 2 for graviton ((??))
Waves don't propagate like E, because mass monopoles don't oscillate like charges.
-$ h \approx \frac{G}{c^2} \frac{M_0}{r} + \frac{G}{c^3} \frac{M'_1}{r} + \frac{G}{c^4} \frac{M''_2}{r} + \frac{G}{c^4} \frac{S'_1}{r} + \frac{G}{c^5} \frac{S''_1}{r}$
+$$ h \approx \frac{G}{c^2} \frac{M_0}{r} + \frac{G}{c^3} \frac{M'_1}{r} + \frac{G}{c^4} \frac{M''_2}{r} + \frac{G}{c^4} \frac{S'_1}{r} + \frac{G}{c^5} \frac{S''_1}{r} $$
-First term: mass can't oscillate,
-Second term: momentum can't oscillate,
-Third term: mass quadrupole moment dominates,
-Fourth term: angular momentum can't oscillate,
-Fifth term: current quadrupole
+ - First term: mass can't oscillate,
+ - Second term: momentum can't oscillate,
+ - Third term: mass quadrupole moment dominates,
+ - Fourth term: angular momentum can't oscillate,
+ - Fifth term: current quadrupole
Energy
----------------
@@ -99,7 +93,7 @@ Extreme Low Frequency: 10^-16 Hz, Cosmic Microwave Background anisotropy
Detectors
-----------------
-$\Delta L = h L ~ \leq 4 \times 10^{-16} \text{cm}$
+$$\Delta L = h L ~ \leq 4 \times 10^{-16} \text{cm}$$
LIGO (10 Hz to 1kHz)
Also GEO, VIRGO, TAMA (?), AIGO
@@ -115,3 +109,4 @@ References
----------------
[PH237]: **Gravitational Waves** (aka ph237), a course taught by Kip Thorne at Caltech in 2002. See http://elmer.tapir.caltech.edu/ph237/ for notes and lecture videos.
+