summaryrefslogtreecommitdiffstats log msg author committer range
path: root/physics
diff options
 context: 12345678910152025303540 space: includeignore mode: unifiedssdiffstat only
Diffstat (limited to 'physics')
-rw-r--r--physics/general relativity3
-rw-r--r--physics/gravitational waves6
-rw-r--r--physics/special relativity15
3 files changed, 15 insertions, 9 deletions
 diff --git a/physics/general relativity b/physics/general relativityindex 7521db5..7fc29eb 100644--- a/physics/general relativity+++ b/physics/general relativity@@ -8,8 +8,9 @@ General Relativity .. note:: Most of this content is based on a 2002 Caltech course taught by Kip Thorn [PH237]_ -*See also math/tensors _*+*See also math/tensors __* +(no content) References ----------------diff --git a/physics/gravitational waves b/physics/gravitational wavesindex ab7174e..5aa1744 100644--- a/physics/gravitational waves+++ b/physics/gravitational waves@@ -38,9 +38,11 @@ Fifth term: current quadrupole Energy ---------------- -Quick calculation: for a source with mass M, size L, period P, the quadrupole moment $M_2 \approx M L^2$, h \approx 1/c^2 (Newtonian potential energy) ????+Quick calculation: for a source with mass M, size L, period P, the quadrupole+moment :m:$M_2 \approx M L^2$, :m:$h \approx 1/c^2 (Newtonian potential+energy) ???? -h on the order of$10^{-22}$+h on the order of :m:$10^{-22}$ Propagation -----------------diff --git a/physics/special relativity b/physics/special relativityindex 41bf4b8..37fd3e9 100644--- a/physics/special relativity+++ b/physics/special relativity@@ -8,7 +8,7 @@ Special Relativity .. note:: Most of this content is based on a 2002 Caltech course taught by Kip Thorn [PH237]_ -*See also physics/general relativity_*+*See also physics/general relativity__* As opposed to general relativity, special relativity takes place in a *flat* Minkowski space time: a 4-space with three spatial dimensions and one time@@ -17,22 +17,25 @@ dimension. +----------------+--------------------+ | Index notation | Variable | Type | +----------------+--------------------+-| $x^\0:m: | $t$:m: | Time |-| $x^\1:m: | $x$:m: | Spatial |-| $x^\2:m: | $y$:m: | Spatial |-| $x^\3:m: | $z$:m: | Spatial |+| $x^0$:m: | $t$:m: | Time |+| $x^1$:m: | $x$:m: | Spatial |+| $x^2$:m: | $y$:m: | Spatial |+| $x^3$:m: | $z$:m: | Spatial | +----------------+--------------------+ Separations ------------- -The separation $(\Delta s)^2:m: between two events in space time, in a given+The separation $(\Delta s)^2$:m: between two events in space time, in a given Lorentzian/inertial frame, is defined as: :m:$$(\Delta s)^2 \equiv -(\Delta t)^2 + (\Delta x)^2 + (\Delta y)^2 + (\Delta z)^2$$+ or+ :m:$$(\Delta s)^2 \equiv -(\Delta x^0)^2 + \sum_{i,j} \delta_{ij} \Delta x^i \Delta x^j$$+ where :m:$\delta_{ij}$ is the Kronecker delta (unity or 1 when :m:$i=j$; zero otherwise), and the indices i and j are over the spatial dimensions 1,2,3 (corresponding to x,y,z). It can be shown that this separation