On quantum analogues of p-brane black holes

TL;DR

This paper explores classical and quantum black hole solutions in higher-dimensional models with p-branes, scalar fields, and Ricci-flat spaces, focusing on their quantum analogues via the Wheeler--DeWitt equation.

Contribution

It introduces quantum analogues of classical p-brane black holes in multidimensional models, including solutions relevant to supergravity theories.

Findings

Classical spherically symmetric p-brane solutions with Ricci-flat internal spaces.

Quantum solutions to the Wheeler--DeWitt equation for these configurations.

Proposals for quantum black hole analogues in supergravity contexts.

Abstract

In a multidimensional model with several scalar fields and an m-form we deal with classical spherically symmetric solutions with one (electric or magnetic) p-brane and Ricci-flat internal spaces and the corresponding solutions to the Wheeler--DeWitt (WDW) equation. Classical black holes are considered and their quantum analogues (e.g. for M2 and M5 extremal solutions in D =11 supergravity, electric and magnetic charges in D=4 gravity) are suggested when the curvature coupling in the WDW equation is zero.