Quasilocal Energy, Komar Charge and Horizon for Regular Black Holes

Understand

We study the Brown-York quasilocal energy for regular black holes.

• We also express the identity that relates the difference of the Brown-York quasilocal energy and the Komar charge at the horizon to the total energy of the spacetime for static and spherically symmetric black hole solutions in a convenient way which permits us to understand why this identity is not satisfied when we consider nonlinear electrodynamics.
• However, we give a relation between quantities evaluated at the horizon and at infinity when nonlinear electrodynamics is considered.
• Similar relations are obtained for more general static and spherically symmetric black hole solutions which include solutions of dilaton gravity theories.