Thermal fluctuations of space-time
- From: Christophe <chatelai@xxxxxxxxxxxxxxxx>
- Date: Wed, 14 Dec 2005 19:08:43 +0000 (UTC)
I recently tried to understand general relativity. Basically, I have
seen how can one construct from the action principle the equations of
motion of particles or classical fields and the equations of motion of
the curvature of the space-time (Einstein equations). I was wondering
how to do statistical physics within this framework. Can one write the
Boltzmann joint probability distribution of the particles (x,p) and the
metric g of the space-time as something like
P(x,p,g) = exp(-beta (T_00 + t_00))
where beta=1/kT, T_00 stands for the energy density of the particles and
t_00 of the space-time (in the linear regime g=\eta+h ?!) ?
If you have some (not too technical) references to suggest...
Thanks by advance,
Christophe
.
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