Cylindrically Symmetric Vacuum Solutions in Higher Dimensional Brans-Dicke Theory

TL;DR

This paper explores higher dimensional cylindrically symmetric vacuum solutions in Brans-Dicke theory, revealing conditions under which they include black hole-like solutions with flat horizons, and briefly discusses stationary and cosmological constant cases.

Contribution

It presents new higher dimensional vacuum solutions in Brans-Dicke theory, including conditions for black hole-type solutions with flat horizons and extensions to stationary and cosmological constant scenarios.

Findings

Existence of black hole-like solutions with flat horizons in higher dimensions.

Conditions for solutions with negative cosmological constant.

Extension to stationary and $ ext{Lambda}$-vacuum solutions.

Abstract

Higher dimensional, static, cylindrically symmetric vacuum solutions with and without a cosmological constant in the Brans-Dicke theory are presented. We show that, for a negative cosmological constant and for specific values of the parameters, a particular subclass of these solutions include higher dimensional topological black hole-type solutions with a flat horizon topology. We briefly extend our discussion to stationary vacuum and $\Lambda-$vacuum solutions.