Tachyon Monopole

TL;DR

This paper investigates the properties and gravitational effects of a tachyon global monopole in four-dimensional spacetime, providing exact and approximate solutions for the tachyon field and the metric, revealing an asymptotically AdS space with a negative small mass.

Contribution

It presents analytical solutions for the tachyon monopole's field and metric, including beyond linear approximation, and characterizes its asymptotic AdS nature with a negative effective mass.

Findings

The tachyon monopole's metric is asymptotically Anti-de Sitter.

The effective mass of the monopole is small and negative.

Analytical solutions are obtained beyond linearized gravity.

Abstract

The property and gravitational field of global monopole of tachyon are investigated in a four dimensional static space-time. We give an exact solution of the tachyon field in the flat space-time background. Using the linearized approximation of gravity, we get the approximate solution of the metric. We also solve analytically the coupled Einstein and tachyon field equations which is beyond the linearized approximation to determine the gravitational properties of the monopole solution. We find that the metric of tachyon monopole represents an asymptotically AdS space-time with a small effective mass at the origin. We show that this relatively tiny mass is actually negative, as it is in the case of ordinary scalar field.