An Exact Solution for Static Scalar Fields Coupled to Gravity in $(2+1)$-Dimensions

TL;DR

This paper presents an exact solution to Einstein's equations with a cosmological constant coupled to a static scalar field in a 2+1 dimensional spherically symmetric spacetime, advancing understanding of lower-dimensional gravity models.

Contribution

It provides the first known exact solution for static scalar fields coupled to gravity in 2+1 dimensions with a cosmological constant.

Findings

Exact static scalar field solution in 2+1 dimensions

Insights into scalar-gravity interactions in lower dimensions

Potential applications to theoretical models of gravity

Abstract

We obtain an exact solution for the Einstein's equations with cosmological constant coupled to a scalar, static particle in static, "spherically" symmetric background in 2+1 dimensions.