Probing foamy spacetime with Variational Methods

TL;DR

This paper investigates quantum corrections to black hole energy using variational methods, exploring implications for spacetime foam and black hole pair creation.

Contribution

It introduces a variational Hamiltonian approach to compute one-loop quantum corrections in Schwarzschild spacetime, focusing on the graviton sector.

Findings

Quantum corrections affect the quasilocal energy in Schwarzschild spacetime.

Application to black hole pair creation via Casimir energy is demonstrated.

Implications for foam-like spacetime scenarios are discussed.

Abstract

A one-loop correction of the quasilocal energy in the Schwarzschild background, with flat space as a reference metric, is performed by means of a variational procedure in the Hamiltonian framework. We examine the graviton sector in momentum space, in the lowest possible state. An application to the black hole pair creation via the Casimir energy is presented. Implications on the foam-like scenario are discussed.