On the Time Times Temperature Bound

Understand

Recently Hod proposes a lower bound on the relaxation time of a perturbed thermodynamic system.

• For gravitational systems this bound transforms into a condition on the fundamental quasinormal frequency.
• We test the bound in some spacetimes whose quasinormal frequencies are calculated exactly, as the three-dimensional BTZ black hole, the D-dimensional de Sitter spacetime, and the D-dimensional Nariai spacetime.
• We find that for some of these spacetimes their fundamental quasinormal frequencies do not satisfy the bound proposed by Hod.