Classification of static black holes in Einstein phantom/dilaton Maxwell/anti-Maxwell gravity systems

TL;DR

This paper investigates the uniqueness of static, spherically symmetric phantom black holes in higher dimensions within Einstein phantom/dilaton Maxwell/anti-Maxwell gravity systems, using conformal techniques to analyze boundary conditions.

Contribution

It establishes a uniqueness theorem for static phantom black holes in higher dimensions using conformal methods and boundary analysis.

Findings

Proves uniqueness of static, spherically symmetric phantom black holes

Utilizes conformal positive energy theorem and transformations

Analyzes boundary conditions and conformal flatness

Abstract

The uniqueness theorem for static, spherically symmetric, asymptotically flat, higher dimensional phantom black holes, with non-degenerate event horizon , being the solutions of Einstein phantom/dilaton Maxwell/anti-Maxwell gravity systems is considered. Conformal positive energy theorem and conformal transformations authorize the crucial tools for exploiting the boundary conditions and conformal flatness.