Quasilocal energy and naked black holes

TL;DR

This paper extends the concept of quasilocal energy to include electromagnetic and dilaton fields, analyzing observer-dependent measurements and applying the framework to naked black holes to compare static and infalling observer perspectives.

Contribution

It generalizes the Brown-York quasilocal energy to more complex fields and non-orthogonal boundaries, and studies observer transformations and naked black hole energies.

Findings

Quasilocal energies depend on observer motion and boundary conditions.

Static and infalling observers measure different energies for naked black holes.

The framework accommodates electromagnetic and dilaton fields in quasilocal energy calculations.

Abstract

We extend the Brown and York notion of quasilocal energy to include coupled electromagnetic and dilaton fields and also allow for spatial boundaries that are not orthogonal to the foliation of the spacetime. We investigate how the quasilocal quantities measured by sets of observers transform with respect to boosts. As a natural application of this work we investigate the naked black holes of Horowitz and Ross calculating the quasilocal energies measured by static versus infalling observers.