# Can TdS be computed using an area, time double integral of heat flux density?

1. Apr 1, 2012

### kmarinas86

Can the TdS by a system be calculated by taking the area, time double integral of the heat flux density?

If so, is it possible that this double-integral would take on an opposite sign if inside there was a dominating, growing black hole, where, I would presume, heat flows inwards, and not outwards? The divergence of the field inside the surface would therefore have an opposite sign, so would a growing blackhole therefore be a TdS reducer?

Last edited: Apr 1, 2012
2. Apr 3, 2012

Anyone?