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The Kodama vector field and the gravitational red-shift
We introduce the Kodama vector field for rotationally symmetric space-times and its relation to gravitational red-shift.
Willie WY Wong
2010-02-06
Last updated on
2019-06-05
15 min read
expository
A Little Hilbert Space Problem
First let us consider the following question on a finite dimensional vector space. Let $(V, \langle\cdot\rangle)$ be a $k$-dimensional …
Willie WY Wong
2009-12-23
Last updated on
2019-06-28
4 min read
mathematical diversions
Cartan's Spiral Staircase
I've just spent much too long puzzling over the geometric formalism of a paper of Lazar and Hehl, so I figure I'll write a little …
Willie WY Wong
2009-11-23
Last updated on
2019-06-05
11 min read
expository
Irrationality of a common constant
We give a proof of the irrationality of π.
Willie WY Wong
2009-11-12
Last updated on
2019-05-31
5 min read
expository
Conformal compactification of spacetime
We explain how to conformally compactify Lorentzian manifolds.
Willie WY Wong
2009-10-26
Last updated on
2019-05-28
12 min read
expository
On the uniqueness of Kerr-Newman black holes
My PhD Thesis on characterization and conditional uniqueness of the Kerr-Newman solution in general relativity.
Willie WY Wong
2009-06-02
Last updated on
2019-05-15
2 min read
research
How to derive the Kerr metric by cheating quite a bit
Lecture notes on a fake derivation of the Kerr metric from the Schwarzschild metric, based on lots of hindsight.
Willie WY Wong
2009-04-23
Last updated on
2019-05-10
1 min read
expository
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