Acknowledgements and
references
I
would like to thank the members of Physicsforums for
helping to refine my thoughts on this topic and for help with some tricky
mathematical problems. Some members that come readily to mind as having been
especially helpful and knowledgeable are George Jones, HallsofIvy,
pervect, DrGreg,
My
discussions with mathtalk here and here provided some insights and created an
indirect conduit to Kevin Brown of mathpages as K.Brown
was obviously updating his mathpages website in response to our discussions and
adding additional detail to the steps of his derivations that has proved
invaluable in my understanding.
This
project is heavily indebted to the derivations of equations of motion by Kevin
Brown in his excellent mathpages website and in particular to the derivations
given here and here. Although most of
the equations used here are based on those produced by Kevin Brown, he has not
realised the physical implications of his own equations. Unfortunately one
equation had to be altered because it is mathematically incorrect and the
equation given in mathpages appears to have had an ad-hoc modification to make
the maths agree with the expected classical physical interpretation. See the details of
the error here. This is unfortunate because the interpretation should be
modified to agree with the maths rather than modify the maths in non
mathematical way to agree with what you think should be predicted. In some ways
Kevin Brown is excused, because it hard for anyone in academia to go against
the conclusions of some of the greatest minds that have investigated the
physics of black holes over the past 83 years.
A
special thanks to the anonymous authors of Wikipedia articles such as this article
on Kruskal_Szekeres coordinates that give their
time and share their knowledge with the public for little or no reward.
©
2008 KevPegrume