Well, I was wondering if anyone knows of any way to relate the concept of temperture with space-time, at least intuitively. Is there an energy-density type argument one could use? Are there equations in GR that have a similar form as those of entropy and temerature relationships? I have sort of a simple-minded approach to this idea, that a gas can be approximated as a continuous, isotropic substance with properties of temperature, pressure, and density, and therefore energy-density. Can one get similar properties of space-time (pressure, density, temperature)?